K_means_Clustering_based_Segmentation_using_COVID_19_CT_segmentation_dataset.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "K-means Clustering-based-Segmentation using COVID-19 CT segmentation dataset",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "## Region based segmentation using annotated public \"COVID-19 CT segmentation dataset\"\n",
        "\n",
        "* The algorithm explores K-means clustering (k=2) for lung segmetnation. \n",
        "* The dice coeffecient was used to measure the preformance of the segmetnation method.\n",
        "* The annotated CT images at http://medicalsegmentation.com/covid19/\n",
        "was used.\n",
        "* From the annotated dataset: the Image volumes (308 Mb), and the Lung masks (1 Mb) were used to validate the segmentaiton performacne.\n",
        "* The images and masks were sliced in Z acial direction."
      ],
      "metadata": {
        "id": "6Gbej_560DEt"
      }
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1hw2C9N4v3WB",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "c8825a71-91da-431c-b9a3-fa77bffa2f95"
      },
      "source": [
        "import os, glob\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import cv2\n",
        "import nibabel as nib\n",
        "\n",
        "import tensorflow as tf\n",
        " \n",
        "from tensorflow import keras\n",
        "from PIL import Image as im\n",
        "import skimage\n",
        "from skimage.filters import sobel\n",
        "from skimage import morphology\n",
        "from skimage.feature import canny\n",
        "#from scipy import ndimage as ndi\n",
        "from skimage import io\n",
        "from skimage.exposure import histogram\n",
        "# Mounting my google drive\n",
        "from google.colab import drive\n",
        "\n",
        "drive.mount('/content/gdrive', force_remount=True)\n"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Mounted at /content/gdrive\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "f4heiyIJwI3k"
      },
      "source": [
        "# Slicing and Saving"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## The path here include the image volumes (308MB) and the lung masks (1MB) were extracted from the COVID-19 CT segmentation dataset\n",
        "dataInputPath = '/content/gdrive/MyDrive/Segmentation/volumes/'\n",
        "imagePathInput = os.path.join(dataInputPath, 'img/') ## Image volumes were exctracted to this subfolder\n",
        "maskPathInput = os.path.join(dataInputPath, 'mask/') ## lung masks were exctracted to this subfolder\n",
        "\n",
        "# Preparing the outputpath for slicing the CT volume from the above data\n",
        "dataOutputPath = '/content/gdrive/MyDrive/Segmentation/slices/'\n",
        "imageSliceOutput = os.path.join(dataOutputPath, 'img/') ## Image volume slices will be placed here\n",
        "maskSliceOutput = os.path.join(dataOutputPath, 'mask/') ## Annotated masks slices will be placed here\n",
        "\n",
        "# Slicing only in Z direction\n",
        "# Slices in Z direction shows the required lung area\n",
        "SLICE_X = False\n",
        "SLICE_Y = False\n",
        "SLICE_Z = True\n",
        "\n",
        "SLICE_DECIMATE_IDENTIFIER = 3"
      ],
      "metadata": {
        "id": "OQvAehDIcNbE"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Choosing normalization boundaries suitable from the chosen images\n",
        "HOUNSFIELD_MIN = -1020\n",
        "HOUNSFIELD_MAX = 2995\n",
        "HOUNSFIELD_RANGE = HOUNSFIELD_MAX - HOUNSFIELD_MIN\n",
        "\n",
        "# Normalizing the images\n",
        "def normalizeImageIntensityRange (img):\n",
        "    img[img < HOUNSFIELD_MIN] = HOUNSFIELD_MIN\n",
        "    img[img > HOUNSFIELD_MAX] = HOUNSFIELD_MAX\n",
        "    return (img - HOUNSFIELD_MIN) / HOUNSFIELD_RANGE\n",
        "\n",
        "#nImg = normalizeImageIntensityRange(img)\n",
        "#np.min(nImg), np.max(nImg), nImg.shape, type(nImg)\n",
        "\n",
        "# Reading image or mask volume\n",
        "def readImageVolume(imgPath, normalize=True):\n",
        "    img = nib.load(imgPath).get_fdata()\n",
        "    if normalize:\n",
        "        return normalizeImageIntensityRange(img)\n",
        "    else:\n",
        "        return img\n",
        "    \n",
        "#readImageVolume(imgPath, normalize=False)\n",
        "#readImageVolume(maskPath, normalize=False)\n",
        "\n",
        "# Slicing image in all directions and save\n",
        "def sliceAndSaveVolumeImage(vol, fname, path):\n",
        "    (dimx, dimy, dimz) = vol.shape\n",
        "    print(dimx, dimy, dimz)\n",
        "    cnt = 0\n",
        "    if SLICE_X:\n",
        "        cnt += dimx\n",
        "        print('Slicing X: ')\n",
        "        for i in range(dimx):\n",
        "            saveSlice(vol[i,:,:], fname+f'-slice{str(i).zfill(SLICE_DECIMATE_IDENTIFIER)}_x', path)\n",
        "            \n",
        "    if SLICE_Y:\n",
        "        cnt += dimy\n",
        "        print('Slicing Y: ')\n",
        "        for i in range(dimy):\n",
        "            saveSlice(vol[:,i,:], fname+f'-slice{str(i).zfill(SLICE_DECIMATE_IDENTIFIER)}_y', path)\n",
        "            \n",
        "    if SLICE_Z:\n",
        "        cnt += dimz\n",
        "        print('Slicing Z: ')\n",
        "        for i in range(dimz):\n",
        "            saveSlice(vol[:,:,i], fname+f'-slice{str(i).zfill(SLICE_DECIMATE_IDENTIFIER)}_z', path)\n",
        "    return cnt\n",
        "\n",
        "# Saving volume slices to file\n",
        "def saveSlice (img, fname, path):\n",
        "    img = np.uint8(img * 255)\n",
        "    fout = os.path.join(path, f'{fname}.png')\n",
        "    cv2.imwrite(fout, img)\n",
        "    print(f'[+] Slice saved: {fout}', end='\\r')"
      ],
      "metadata": {
        "id": "haRN8Y4CDFJ1"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Slicing volumes and lung masks and saving them in \"slices\" folder"
      ],
      "metadata": {
        "id": "aezgD5LZc1gf"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Reading and processing image volumes for TEST images\n",
        "for index, filename in enumerate(sorted(glob.iglob(imagePathInput+'*.nii.gz'))):\n",
        "    img = readImageVolume(filename, True)\n",
        "    print(filename, img.shape, np.sum(img.shape), np.min(img), np.max(img))\n",
        "    numOfSlices = sliceAndSaveVolumeImage(img, 't'+str(index), imageSliceOutput)\n",
        "    print(f'\\n{filename}, {numOfSlices} slices created \\n')\n",
        "\n",
        "# Reading and processing image mask volumes for TEST masks\n",
        "for index, filename in enumerate(sorted(glob.iglob(maskPathInput+'*.nii.gz'))):\n",
        "    img = readImageVolume(filename, False)\n",
        "    print(filename, img.shape, np.sum(img.shape), np.min(img), np.max(img))\n",
        "    numOfSlices = sliceAndSaveVolumeImage(img, 't'+str(index), maskSliceOutput)\n",
        "    print(f'\\n{filename}, {numOfSlices} slices created \\n')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ha_qVA_bCvuo",
        "outputId": "c9f4a7b9-4f0e-4238-a8bf-506ff6e3b462"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "/content/gdrive/MyDrive/Segmentation/volumes/img/1.nii.gz (630, 630, 45) 1305 0.0 0.3070329411982896\n",
            "630 630 45\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/img/t0-slice044_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/1.nii.gz, 45 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/2.nii.gz (630, 630, 39) 1299 0.0 0.29788061310612546\n",
            "630 630 39\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/img/t1-slice038_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/2.nii.gz, 39 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/3.nii.gz (630, 630, 418) 1678 0.0 0.28805189310836316\n",
            "630 630 418\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/img/t2-slice417_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/3.nii.gz, 418 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/4.nii.gz (630, 630, 39) 1299 0.0 0.29359098175542886\n",
            "630 630 39\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/img/t3-slice038_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/4.nii.gz, 39 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/5.nii.gz (630, 630, 66) 1326 0.0 0.29295800233985836\n",
            "630 630 66\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/img/t4-slice065_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/5.nii.gz, 66 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/6.nii.gz (630, 630, 42) 1302 0.0 0.29983340746735876\n",
            "630 630 42\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/img/t5-slice041_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/6.nii.gz, 42 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/7.nii.gz (630, 630, 42) 1302 0.0 0.29788061310612546\n",
            "630 630 42\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/img/t6-slice041_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/7.nii.gz, 42 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/8.nii.gz (630, 630, 45) 1305 0.0 0.3115153501517746\n",
            "630 630 45\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/img/t7-slice044_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/8.nii.gz, 45 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/9.nii.gz (630, 630, 93) 1353 0.0 0.3265356840558842\n",
            "630 630 93\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/img/t8-slice092_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/img/9.nii.gz, 93 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/1.nii.gz (630, 630, 45) 1305 0.0 1.0\n",
            "630 630 45\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/mask/t0-slice044_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/1.nii.gz, 45 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/2.nii.gz (630, 630, 39) 1299 0.0 1.0\n",
            "630 630 39\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/mask/t1-slice038_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/2.nii.gz, 39 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/3.nii.gz (630, 630, 418) 1678 0.0 1.0\n",
            "630 630 418\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/mask/t2-slice417_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/3.nii.gz, 418 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/4.nii.gz (630, 630, 39) 1299 0.0 1.0\n",
            "630 630 39\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/mask/t3-slice038_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/4.nii.gz, 39 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/5.nii.gz (630, 630, 66) 1326 0.0 1.0\n",
            "630 630 66\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/mask/t4-slice065_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/5.nii.gz, 66 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/6.nii.gz (630, 630, 42) 1302 0.0 1.0\n",
            "630 630 42\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/mask/t5-slice041_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/6.nii.gz, 42 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/7.nii.gz (630, 630, 42) 1302 0.0 1.0\n",
            "630 630 42\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/mask/t6-slice041_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/7.nii.gz, 42 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/8.nii.gz (630, 630, 45) 1305 0.0 1.0\n",
            "630 630 45\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/mask/t7-slice044_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/8.nii.gz, 45 slices created \n",
            "\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/9.nii.gz (630, 630, 93) 1353 0.0 1.0\n",
            "630 630 93\n",
            "Slicing Z: \n",
            "[+] Slice saved: /content/gdrive/MyDrive/Segmentation/slices/mask/t8-slice092_z.png\n",
            "/content/gdrive/MyDrive/Segmentation/volumes/mask/9.nii.gz, 93 slices created \n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Exploring the data \n",
        "imgPath = os.path.join(imagePathInput, '1.nii.gz')\n",
        "img = nib.load(imgPath).get_fdata()\n",
        "np.min(img), np.max(img), img.shape, type(img)\n",
        "\n",
        "\n",
        "maskPath = os.path.join(maskPathInput, '1.nii.gz')\n",
        "mask = nib.load(maskPath).get_fdata()\n",
        "np.min(mask), np.max(mask), mask.shape, type(mask)\n",
        "\n",
        "# Showing image slice\n",
        "imgSlice = mask[:,:,20]\n",
        "plt.imshow(imgSlice, cmap='gray')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "id": "dXOFUB8Vmv_F",
        "outputId": "0e423a03-df45-48a0-d8b6-c45ee95004a6"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## K-means Clustering Based Segmentation"
      ],
      "metadata": {
        "id": "mThKX-YrXMR2"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "## Reading the image in gray scale and gussian blurring\n",
        "n= cv2.imread(\"/content/gdrive/MyDrive/Segmentation/slices/img/t0-slice009_z.png\")\n",
        "# Converting to Grayscale\n",
        "n= cv2.cvtColor(n, cv2.COLOR_BGR2GRAY)\n",
        "# Bluring the images\n",
        "n = cv2.GaussianBlur(n, (5, 5), 0)\n",
        "image = n\n",
        "\n",
        "# Reshaping the image into a 2D array of pixels and 1 color values (Grayscale)\n",
        "pixel_vals = image.reshape((-1,1))\n",
        "\n",
        "# Convert to float type\n",
        "pixel_vals = np.float32(pixel_vals)\n",
        "\n",
        "#the below line of code defines the criteria for the algorithm to stop running,\n",
        "#which will happen is 100 iterations are run or the epsilon\n",
        "#becomes 85%\n",
        "criteria = (cv2.TERM_CRITERIA_EPS + cv2.TERM_CRITERIA_MAX_ITER, 100, 0.85)\n",
        " \n",
        "# then perform k-means clustering wit h number of clusters defined as 2\n",
        "#also random centres are initially choosed for k-means clustering\n",
        "k = 2\n",
        "retval, labels, centers = cv2.kmeans(pixel_vals, k, None, criteria, 10, cv2.KMEANS_RANDOM_CENTERS)\n",
        " \n",
        "# convert data into 8-bit values\n",
        "centers = np.uint8(centers)\n",
        "\n",
        "segmented_data = centers[labels.flatten()]\n",
        " \n",
        "# reshape data into the original image dimensions\n",
        "segmented_image = segmented_data.reshape((image.shape))\n",
        "\n",
        "\n",
        "## Binarizing the resulting segmented image\n",
        "(thresh, segmented_image) = cv2.threshold(segmented_image, 128, 255, cv2.THRESH_BINARY | cv2.THRESH_OTSU)\n",
        "\n",
        "plt.imshow(segmented_image)# Modifying the background to exctract the segmetned lungs\n",
        "\n",
        "## Exctracing only the lungs  from the segmented images (removing the back ground to keep only lungs)\n",
        "ret, gray = ret, gray = cv2.threshold(segmented_image.astype(np.uint8), 1, 255, cv2.THRESH_BINARY)\n",
        "for x in range(gray.shape[1]):\n",
        "    # Fill dark top pixels:\n",
        "    if gray[0, x] == 0:\n",
        "      cv2.floodFill(gray, None, seedPoint=(x, 0), newVal=255, loDiff=3, upDiff=3)  # Fill the background with white color\n",
        "    # Fill dark bottom pixels:\n",
        "    if gray[-1, x] == 0:\n",
        "      cv2.floodFill(gray, None, seedPoint=(x, gray.shape[0]-1), newVal=255, loDiff=3, upDiff=3)  # Fill the background with white color\n",
        "    \n",
        "for y in range(gray.shape[0]):\n",
        "    # Fill dark left side pixels:\n",
        "    if gray[y, 0] == 0:\n",
        "      cv2.floodFill(gray, None, seedPoint=(0, y), newVal=255, loDiff=3, upDiff=3)  # Fill the background with white color\n",
        "    # Fill dark right side pixels:\n",
        "    if gray[y, -1] == 0:\n",
        "      cv2.floodFill(gray, None, seedPoint=(gray.shape[1]-1, y), newVal=255, loDiff=3, upDiff=3)  # Fill the background with white color\n",
        "    \n",
        "    #file_name, file_ext = os.path.splitext(m)\n",
        "    #gray = im.fromarray(gray)\n",
        "    #gray.save('{}.png'.format(file_name))\n",
        "\n",
        "\n",
        "## Plotting the original image and the final results of k-means clustered image\n",
        "fig, axes = plt.subplots(1, 2, figsize=(8, 3), sharey=True)\n",
        "axes[0].imshow(n , cmap=plt.cm.gray)\n",
        "axes[0].set_title('original')\n",
        "\n",
        "axes[1].imshow(gray, cmap=plt.cm.gray)\n",
        "axes[1].set_title('clustering')\n",
        "for a in axes:\n",
        "     a.axis('off')\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "plt.tight_layout()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 477
        },
        "id": "YUVKo1oYMbb-",
        "outputId": "681ee045-0d68-408b-b799-8cc6b3a8c58e"
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x216 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Replacing images with their segmented slices in the directory"
      ],
      "metadata": {
        "id": "Sg6XPMP6YT_P"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "## The images in the \"/content/gdrive/MyDrive/Segmentation/slices/img/*.png\" will be replaced by their masks via region based segmetnation\n",
        "\n",
        "for m in glob.glob(\"/content/gdrive/MyDrive/Segmentation/slices/img/*.png\"):\n",
        " n=cv2.imread(m)\n",
        " n= cv2.cvtColor(n, cv2.COLOR_BGR2GRAY)\n",
        " n = cv2.GaussianBlur(n, (5, 5), 0)\n",
        " image = n\n",
        "\n",
        " # Reshaping the image into a 2D array of pixels and 3 color values (RGB)\n",
        " pixel_vals = image.reshape((-1,1))\n",
        "\n",
        " # Convert to float type\n",
        " pixel_vals = np.float32(pixel_vals)\n",
        "\n",
        "#the below line of code defines the criteria for the algorithm to stop running,\n",
        "#which will happen is 100 iterations are run or the epsilon (which is the required accuracy)\n",
        "#becomes 85%\n",
        " criteria = (cv2.TERM_CRITERIA_EPS + cv2.TERM_CRITERIA_MAX_ITER, 100, 0.85)\n",
        " \n",
        "# then perform k-means clustering wit h number of clusters defined as 3\n",
        "#also random centres are initially choosed for k-means clustering\n",
        " k = 2\n",
        " retval, labels, centers = cv2.kmeans(pixel_vals, k, None, criteria, 10, cv2.KMEANS_RANDOM_CENTERS)\n",
        " \n",
        "# convert data into 8-bit values\n",
        " centers = np.uint8(centers)\n",
        "\n",
        " segmented_data = centers[labels.flatten()]\n",
        " \n",
        "# reshape data into the original image dimensions\n",
        " segmented_image = segmented_data.reshape((image.shape))\n",
        "\n",
        " (thresh, segmented_image) = cv2.threshold(segmented_image, 128, 255, cv2.THRESH_BINARY | cv2.THRESH_OTSU)\n",
        "\n",
        "#plt.imshow(segmented_image)# Modifying the background to exctract the segmetned lungs\n",
        "\n",
        " ret, gray = ret, gray = cv2.threshold(segmented_image.astype(np.uint8), 1, 255, cv2.THRESH_BINARY)\n",
        " for x in range(gray.shape[1]):\n",
        "    # Fill dark top pixels:\n",
        "    if gray[0, x] == 0:\n",
        "      cv2.floodFill(gray, None, seedPoint=(x, 0), newVal=255, loDiff=3, upDiff=3)  # Fill the background with white color\n",
        "    # Fill dark bottom pixels:\n",
        "    if gray[-1, x] == 0:\n",
        "      cv2.floodFill(gray, None, seedPoint=(x, gray.shape[0]-1), newVal=255, loDiff=3, upDiff=3)  # Fill the background with white color\n",
        "    \n",
        " for y in range(gray.shape[0]):\n",
        "    # Fill dark left side pixels:\n",
        "    if gray[y, 0] == 0:\n",
        "      cv2.floodFill(gray, None, seedPoint=(0, y), newVal=255, loDiff=3, upDiff=3)  # Fill the background with white color\n",
        "    # Fill dark right side pixels:\n",
        "    if gray[y, -1] == 0:\n",
        "      cv2.floodFill(gray, None, seedPoint=(gray.shape[1]-1, y), newVal=255, loDiff=3, upDiff=3)  # Fill the background with white color\n",
        "    \n",
        " file_name, file_ext = os.path.splitext(m)\n",
        " gray = im.fromarray(gray)\n",
        " gray.save('{}.png'.format(file_name))"
      ],
      "metadata": {
        "id": "ADqbwpjtuOaK"
      },
      "execution_count": 34,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Using Dice Coeffecient for measuring the perforrmamce of the Segmentation "
      ],
      "metadata": {
        "id": "8y4BKAdn3zOn"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "## Segmetnation Quantifying Measure (Dice coeffecient)\n",
        "\n",
        "def dice_coef(img, img2):\n",
        "        if img.shape != img2.shape:\n",
        "            raise ValueError(\"Shape mismatch: img and img2 must have to be of the same shape.\")\n",
        "        else:\n",
        "            \n",
        "            lenIntersection=0\n",
        "            \n",
        "            for i in range(img.shape[0]):\n",
        "                for j in range(img.shape[1]):\n",
        "                    if ( np.array_equal(img[i][j],img2[i][j]) ):\n",
        "                        lenIntersection+=1\n",
        "             \n",
        "            lenimg=img.shape[0]*img.shape[1]\n",
        "            lenimg2=img2.shape[0]*img2.shape[1]  \n",
        "            value = (2. * lenIntersection  / (lenimg + lenimg2))\n",
        "        return value"
      ],
      "metadata": {
        "id": "R_zmVKyAdO76"
      },
      "execution_count": 35,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "## Ground Truth Mask\n",
        "img = cv2.imread('/content/gdrive/MyDrive/Segmentation/slices/mask/t0-slice012_z.png')\n",
        "\n",
        "hist, hist_centers = histogram(img)\n",
        "fig, axes = plt.subplots(1, 2, figsize=(8, 3))\n",
        "axes[0].imshow(img, cmap=plt.cm.gray)\n",
        "axes[0].axis('off')\n",
        "axes[0].set_title('Ground Truth')\n",
        "axes[1].plot(hist_centers, hist, lw=2)\n",
        "axes[1].set_title('Ground Truth Grey Values')\n",
        "\n",
        "#print(img)\n",
        "img = np.asarray(img).astype(np.bool)\n",
        "#print(img)\n",
        "print(img.shape)\n",
        "#print('_'*40)\n",
        "\n",
        "## Predicted mask\n",
        "img2 = cv2.imread('/content/gdrive/MyDrive/Segmentation/slices/img/t0-slice012_z.png')\n",
        "img2 = cv2.subtract(250, img2)\n",
        "\n",
        "hist, hist_centers = histogram(img2)\n",
        "fig, axes = plt.subplots(1, 2, figsize=(8, 3))\n",
        "axes[0].imshow(img2, cmap=plt.cm.gray)\n",
        "axes[0].axis('off')\n",
        "axes[0].set_title('Predicted Mask')\n",
        "axes[1].plot(hist_centers, hist, lw=2)\n",
        "axes[1].set_title('Pridited mask Grey Values')\n",
        "\n",
        "#print(img2)\n",
        "img2 = np.asarray(img2).astype(np.bool)\n",
        "\n",
        "#print(img2)\n",
        "print(img2.shape)\n",
        "#print('%'*40)\n",
        "\n",
        "value = dice_coef(img, img2)\n",
        "print(\"Dice coeffecient value is\", value) "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 658
        },
        "id": "aKfSxrxEdZln",
        "outputId": "38b3f8a4-dd37-4f32-d5cc-ed5a8d62a592"
      },
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:4: UserWarning: This might be a color image. The histogram will be computed on the flattened image. You can instead apply this function to each color channel.\n",
            "  after removing the cwd from sys.path.\n",
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:13: DeprecationWarning: `np.bool` is a deprecated alias for the builtin `bool`. To silence this warning, use `bool` by itself. Doing this will not modify any behavior and is safe. If you specifically wanted the numpy scalar type, use `np.bool_` here.\n",
            "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n",
            "  del sys.path[0]\n",
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:22: UserWarning: This might be a color image. The histogram will be computed on the flattened image. You can instead apply this function to each color channel.\n",
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:31: DeprecationWarning: `np.bool` is a deprecated alias for the builtin `bool`. To silence this warning, use `bool` by itself. Doing this will not modify any behavior and is safe. If you specifically wanted the numpy scalar type, use `np.bool_` here.\n",
            "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(630, 630, 3)\n",
            "(630, 630, 3)\n",
            "Dice coeffecient value is 0.8576114890400605\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x216 with 2 Axes>"
            ],
            "image/png": 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ysrK46KKLuOOOO2jTpk2yy2l0ZsYVV1zB1VdfnexSJEH7rkWphBOJRQEXpapb8qmnnqJDhw7JLqfJZGVlcdtttzF06NBklyIJMNRFKRKPAi7K9773PSZNmkTbtm1TckBJQ/Tq1YvHH3+c3r17J7sUOUCaTUAkPgVcYOTIkTzwwAP7TWOTzsyMY489lh/+8IdpH+bpat8gE0WcSCwKOKBjx45MnTqVgw46KNmlNCsz4/vf/z4HH3xwskuRA1D1sSSsfBOJSQEHXH/99Rl7PKp3795861vf0l5cCtr3K1PCicSS8QHXu3dvrrvuuhZ1Xcnmdsstt9ClS5dklyENpGtRisSX8QF30UUX1TnvVjozM/r3759x3bPpIKTZBETiyuiAa9++PVdccUXGX4g4OzubE044IeNfh1RT1UUZ1kE4kZgy+j/aeeedl7HH3qLl5ORw++23k5ubm+xSpAGqz4NLch0iLVXGBpyZcdZZZ5GdrQkVIHIsUqMpU4wu1SUSV8YGXE5ODsccc0yyy2gxsrOzycnJSXYZ0gAhXapLJK6MDbg2bdrQqVOnZJfRYhQXF7NtW0ITTEsz06W6ROLL2IArKytj586dyS6jxSgpKWH79u3JLkMaQBOeisSXsQG3d+9elixZkuwyRA6YZhMQiS9jAw5g+fLluo5fIBwOJ7sEaaCQJjwViSujA+6vf/2ruuUC8+fPZ/fu3ckuQw5AWAknElNGB9zatWuZPXt2wtsJh8Ps3LmT9evXs2rVquqvL774IiX2EHft2sWsWbNSotaWysxGm9lKM1ttZhNrWecSMysysw/N7I+N0Cag8+BEapPRJ4FVVlayZs0a3L3BFxvesWMHb731FsXFxbzyyissWbKEL774gtLS0up1+vTpw5lnnsmwYcMYPHgwQ4cOpXXr1o39NBK2atUq3nvvvWSXkbLMLAuYAYwCNgBLzWyOuxdFrTMQuA041d23m1nPhNutuqGEE4kpowMOoKioiHA43KCLLZeWljJx4kTy8/PjHrv6+OOP+fjjjwFo27YteXl53HffffTu3bvFXL1/z549TJ06db9glgY7EVjt7msAzGwWkAcURa1zDTDD3bcDuPvWRBvVeXAi8WV0FyXAEUcc0aBrMIbDYWbMmMFjjz3WoIEZpaWlzJo1i9NOO41p06bx+eefJ71LMBwO88gjj/Dcc88ltY400AdYH3V/Q7As2iBgkJm9ZWaLzWx0rA2Z2TgzKzSzwrrOS6z6kKTxQSKxZXTAhUIhTjjhhHrvTZWXlzNz5kwmTZpEZWXlAbW5Zs0aJk6cyKmnnsq0adOqu0ibW1lZGdOnT+eOO+6gvLy82dvPQNnAQGAkMAZ4zMw611zJ3fPdfZi7D+vRo0fcDVZPl9PIhYqki4wOuC5dunDqqafWa91du3Zx2223cd1111FSUpJQu+5eHXQjRozgySefpKysLKFtNkQ4HGbmzJn85Cc/0cnujWMj0C/qft9gWbQNwBx3L3f3T4GPiQTeAdt3orciTiSWjA64I444gl69eu23zN1Zu3YtO3bswN356quvKCgo4MILL+TBBx9s1GNV7s7GjRu54YYbOP/88/nb3/5GaWlpk/3Dcne+/PJLfv3rXzNhwgQqKiqapJ0MtBQYaGaHmFkr4DJgTo11XiSy94aZdSfSZbkmkUY1ilIkvoweZHLMMcfsd4HhyspKCgoKuPXWWznyyCPp2bMnS5YsoaioqEm78crKyliwYAFvv/02Q4YM4YYbbqBnz56MHDmyUUZdujvbt29n/vz5TJ48mRUrVujE7kbk7hVmdhMwH8gCnnD3D81sElDo7nOCx75lZkVAJXCru3+RSLv7ZvRWxInEktEB16ZNm+rbZWVlTJ48mfvvv5+SkhJWrlzZ7PXs3r2bxYsXs3jxYnJychg1ahRnnXUWl156Kd/4xjcaNPLS3SktLWXRokW8+uqrFBQU8NFHHynYmoi7FwAFNZb9Muq2A7cEX41C16IUiS+jA+7VV1+luLiYvXv3cvvtt/O73/2uxXTblZeXU1BQQEFBAQ899BDXX389119/PR06dAD4Wtjt3buXDz74gOLiYgoLC/nss89YvHgxK1as0CCSNKUJT0Xiy+iAW7lyJVdffTX/+Mc/+Oijj1psV8+6dev42c9+xiuvvMKdd97JiBEjqh+rrKxk3rx5PP/88zz33HPs2bNHe2kZourslhb6ZyuSdBkdcOFwmBdeeCHZZdRLOBzm9ddf5xe/+AVz586lU6dOlJSU8Jvf/Ia7775b15HMQFV7cLoWpUhsGR1wqWjRokVMmDCB4447jqeffpqlS5dqjy1TVV/JRERiUcClmHA4zBNPPJHsMqQF0ChKkfgy+jw4kVQWaiHXMxVpqRRwIimqKt90DE4ktowOuDZt2lQPuxdJNfu6KJNahkiLlbEB16NHD1544QWWLl3KjBkzOPnkkxs0q4BIslVfqksBJxJTxg4yueGGGxg9ejRmxqBBgxgzZgwLFy5k/fr1zJ07l3feeYcdO3Yku0yRWplGUYrElZG7LG3atCEvL6/6E7CZ0aVLF/Ly8rjpppuYN28eCxYsYPTo0bRq1SrJ1YrEpvPgROLLyIDr1q0b/fr1q/XxnJwchg4dyosvvsikSZN0nE5aJNOEcCJxZWTAffXVV2zfvj3uOmZG69at+fGPf8zs2bM54ogjmqk6kfrZl29KOJFYMjLgzKzeV+bPysrinHPOYd68eZx00klkZ2fsYUtpYUIaZCISV0YGXOvWrcnNza33+mbGYYcdxiuvvMKUKVP2m2ZHJFn2nQeX3DpEWqqMDLg2bdo0KOAgEnKdO3dm/Pjx/Pd//zeHH354E1UnUj/7RlEq4URiyciA6969+34zeTdEdnY2V111FQsWLODKK68kKyurkatLTCgU4vLLL+eJJ57gxhtv5IwzzqBTp07qWk1L6qIUiScj/+sdddRRCXUzmhn9+/fn4YcfJi8vj61bt7J06VKKi4v55JNP2L59O6WlpWzfvp1wONxsV/sPhUL84Ac/4IEHHqB9+/aMHTuW8vJy1q1bxyeffMKzzz7LCy+8QHFxcbPUI00rpPPgROLKuIALhUKMHj26UbaVm5vLhRdeiLtz7bXXAlBaWkp5eTklJSVs2rSJTz/9lBUrVvDmm2+ycuVK+vXrR7du3QD4/PPP2bx5M+7Ol19+mdDM2zXDDSJB3KpVKwYOHMjAgQMZNWoU48eP57bbbmP+/PmaZifFVXdRahdOJKaMC7gOHTpw4okn1nsUZX1Eb6tdu3YAdOrUib59+3LiiSdyySWXUFFRwc6dO8nNza0+ebysrIzS0lLC4TDLly/nxRdfZPbs2WzZsqVB7efk5DB27Fjuv//+6nCLJSsriyFDhjB79mymTJnC1KlT2bt37wE8Y2kJTF2UInFl3DG4ww47jL59+zZrm2ZGTk4O3bp1o02bNoRCIUKhEO3ataNbt2706NGDM888kwcffJBFixYxbtw4evXqVed2c3JyOProo3n88cd56KGH4oZbdC3t27fnF7/4BWPHjtX1NxuJmY02s5VmttrMJsZZ7yIzczMblnibke/agxOJLeP24I4++ugWO8w/FApx6KGH8vDDDzNhwgTy8/NZt24dq1at2m+93Nxchg8fzrnnnsvxxx9Px44dG7xH2rp1a6ZMmUJhYSHvvfdeYz6NjGNmWcAMYBSwAVhqZnPcvajGeh2Am4F3GqXd4LviTSS2jAu4hpzknSxZWVkMGjSIe++9l8rKSioqKvZ7vGqPMNHn0alTJ8aPH89VV11FZWVlQtvKcCcCq919DYCZzQLygKIa6/0KmALc2hiNVv3+dR6cSGzqn2rhsrKyaN269X5frVq1apSQNjMuvvhiTj311EaoNKP1AdZH3d8QLKtmZkOBfu7+53gbMrNxZlZoZoXbtm2L26i6KEXiy7iA27t3r0YPRmnXrh3f/e53dSyuCZlZCLgfmFDXuu6e7+7D3H1Yjx494m+Xlt0TIZJsGfdf7Y033mDTpk3JLqPFMDMuvfRSDj/8cDp37pzsclLVRiB6eoq+wbIqHYCjgdfNbC1wMjAn0YEm+/bgEtmKSPrKuIDbsmULy5cvT3YZLUr37t059NBDKSkpSXYpqWopMNDMDjGzVsBlwJyqB919h7t3d/cB7j4AWAxc4O6FiTQaqr4WpRJOJJaMC7jKykpWrFih4xZRcnJy6NOnjwaaHCB3rwBuAuYDHwGz3f1DM5tkZhc0VbtVx2H1lywSW8YFHMDLL7+c0FVD0lGfPn3qXklq5e4F7j7I3Q9z97uDZb909zkx1h2Z6N4bRJ0moIQTiSkjA+7DDz9s8NVC0t2RRx6Z7BKkoTSbgEhcGRlwW7duZdq0aV87vyyTqcs29WjCU5H4MjLgAGbOnMknn3yS7DJajHfffTfZJUgD7euiVMKJxJKxAVdaWsq6dev0z4HIwJsNGzYkuwxpIJ0mIBJfxgZcWVkZd999N2VlZckuJemKi4u1B5eCqmcTSHIdIi1VxgYcwKJFi3j22Wczei/O3cnPz2fNmjXJLkUaSOfBicSX0QFXUVHB9OnTM/oE588//5z8/PyMDvmUpUEmInFldMABvP/++0yePJk9e/Yku5Rm5+488MADrFu3LtmlyAHQdDki8WV8wIXDYaZNm8aECRMoLS1NdjnNxt156623mDlzpvbeUpTpTG+RuDI+4CDSVfnb3/6WX/3qV2m/J+fuFBcX8/jjjzNmzBg2b96c7JLkAIU0H5xIXAq4QEVFBdOmTeOWW25h27ZtablXU1FRwbx58xg5ciTXXnutTg1Icfu6KNPvb1WkMSjgolRUVPDwww9z+eWXs2LFirSZN87d2b59O3fddReXXnopy5YtS5vnlsl0HpxIfAq4GP7yl78watQofv/736f8cbnKyko++OADzj//fO6+++6Ufz6yj2YTEIlPAVeLLVu2MG7cOM477zzmzp3L7t27U6rb0t0pKSlh6tSpnHnmmSxatCil6pe6mc6DE4krO9kFtGTl5eW89tprvPnmmxx77LFcccUVDBkyhBNOOIG2bdsSCrWszwfuzq5du9i6dSsvvfQSs2bN4t1339U8b2nK9k0nICIxKODqoby8nMLCQgoLC8nJyWHw4MHk5eVx0kknccopp9C5c+fq7qLm4u5UVFSwfv16Pv30UwA++OAD5syZw9///nd27typPbY0Z8o3kbgUcA1UXl7OsmXLWLZsGdnZ2RxyyCGcffbZnHHGGZxxxhl07NiRVq1aNXq7VYG2a9cu1q5dy5///GcWLFjAsmXLKC4uBtDAkQyj2QRE4lPAJaCiooJVq1axatUq8vPz6dWrF2eccQYXX3wxPXv2ZPDgwezatYsuXbqQnZ1NdnY2u3fvBqBVq1bk5OTUuefn7uzcuZOXX36ZJ598kqKiIr788kt27drVHE9RWjCdBycSnwKukVRWVrJp0yaefvppnnnmGXJzc+natSulpaX06NGD7t2706VLl+rTD/r3789RRx3F0KFD425306ZNPPPMM6xevVoTtMp+dJqASHwKuCYQDocpKSmpvojz1q1bv7bOmjVreP3115u5MklHOtFbJLaWNQxQJEWZ2WgzW2lmq81sYozHbzGzIjP7wMwWmNnBjdAmoD04kdoo4EQSZGZZwAzgXGAwMMbMBtdY7e/AMHcfAjwHTE203VB1F6USTiQWBZxI4k4EVrv7GnffC8wC8qJXcPfX3H13cHcx0DfRRjVdjkh8CjiRxPUB1kfd3xAsq81VwMuxHjCzcWZWaGaF27Zti9uouihF4lPAiTQjM/t3YBgwLdbj7p7v7sPcfViPHj3q2FbwM9qHE4lJoyhFErcR6Bd1v2+wbD9mdjbwc+B0d0944kHTeXAicWkPTiRxS4GBZnaImbUCLgPmRK9gZv8K/Ba4wN2/ft7IAdCE3iLxKeBEEuTuFcBNwHzgI2C2u39oZpPM7IJgtWlAe+BZM3vfzObUsrl623cRHCWcpJ/8hZ9w5n2v88ySzw54G+qiFGkE7l4AFNRY9suo22c3dptVswloD07S0dade1izbRclZeUHvA3twYmkqJDmg5M0tqcicvH41tlZB7wNBZxIitK1KLaRx7EAAAXmSURBVCWd7a0OuAOPKQWcSIqq7qJMch0iTWFPRWSi5lYKOJEMpD04SWPqohTJYKHqK5ko4ST9qItSJIPpWpSSzqr24NRFKZKBTLMJSBqrOganPTiRDLTvWpQi6ae6izJHx+BEMk5I16KUNFbdRZmlPTiRjKUuSklH+/bgFHAiGad6Prgk1yHSFPZoFKVI5tK1liWd6URvkQy27xicEk7Sj070FslguhalpDN1UYpksH0neivhJL24e/UgE42iFMlA2oOTdLW3cl+4hUJWx9q1U8CJpCjTeXCSphrjMl2ggBNJWfs+1yrhJL00xoWWQQEnkrKqz4NTvkmaaYwBJqCAE0lZmk1A0tWe8sTPgQMFnEijMLPRZrbSzFab2cQYj7c2s/8NHn/HzAYk2mYoePfqPDhJN1WDTBI5Bw4UcCIJM7MsYAZwLjAYGGNmg2usdhWw3d0PBx4ApiTcLuqilPS0pzzx61ACZDdGMSIZ7kRgtbuvATCzWUAeUBS1Th5wZ3D7OeA3ZmaeyJWSgz7KlZ+X8JPnlh3wZkRamn9+tRdI7Bw4UMCJNIY+wPqo+xuAk2pbx90rzGwH0A34Z/RKZjYOGAfQv3//uI12y20FwOc7y5hduOHAqxdpoXp2bJ3QzyvgRFoQd88H8gGGDRsWd+/umD6dePI/TmDLzrJmqU2kOYXMOOPIngltQwEnkriNQL+o+32DZbHW2WBm2UAn4ItEGjUzRh6R2D8AkXSmQSYiiVsKDDSzQ8ysFXAZMKfGOnOA7we3Lwb+mtDxNxGpk/bgRBIUHFO7CZgPZAFPuPuHZjYJKHT3OcDjwB/MbDXwJZEQFJEmpIATaQTuXgAU1Fj2y6jbZcD3mrsukUymLkoREUlLCjgREUlLpuPcIi2TmW0D1tWxWndqnEuXZKqnbi2tpnSo52B371FzoQJOJIWZWaG7D0t2HVVUT91aWk3pXI+6KEVEJC0p4EREJC0p4ERSW36yC6hB9dStpdWUtvXoGJyIiKQl7cGJiEhaUsCJpKC6ZhBvxjrWmtlyM3vfzAqDZV3N7C9mtir43qUJ23/CzLaa2YqoZTHbt4iHgtfsAzMb2kz13GlmG4PX6H0z+3bUY7cF9aw0s3OaoJ5+ZvaamRWZ2YdmdnOwPCmvUZx6muY1cnd96UtfKfRF5HqXnwCHAq2AZcDgJNWyFuheY9lUYGJweyIwpQnbHwEMBVbU1T7wbeBlIlPFngy800z13An8OMa6g4PfXWvgkOB3mtXI9fQGhga3OwAfB+0m5TWKU0+TvEbagxNJPdUziLv7XqBqBvGWIg94Krj9FPBvTdWQuy8kcvHq+rSfB/zeIxYDnc2sdzPUU5s8YJa773H3T4HVRH63jVnPZnd/L7hdAnxEZPLdpLxGceqpTUKvkQJOJPXEmkE83j+JpuTAq2b2bjAbOUAvd98c3P4c6NXMNdXWfjJft5uCLr8norpsm7UeMxsA/CvwDi3gNapRDzTBa6SAE5FEfNPdhwLnAjea2YjoBz3Sz5S0odrJbj/wCHAYcBywGbivuQsws/bA88B/uvvO6MeS8RrFqKdJXiMFnEjqqc8M4s3C3TcG37cCfyLSfbSlqlsr+L61mcuqrf2kvG7uvsXdK909DDzGvi62ZqnHzHKIhMnT7v5CsDhpr1GseprqNVLAiaSe+swg3uTMLNfMOlTdBr4FrGD/2cu/D7zUzKXV1v4c4MpgpODJwI6obromU+MY1neJvEZV9VxmZq3N7BBgILCkkds2IpPtfuTu90c9lJTXqLZ6muo10oSnIinGa5lBPAml9AL+FPmfRTbwR3d/xcyWArPN7CoisyFc0lQFmNkzwEigu5ltAO4AJtfSfgGRUYKrgd3AfzRTPSPN7Dgi3YBrgWsBPDLr+2ygCKgAbnT3ykYu6VTgCmC5mb0fLPsZyXuNaqtnTFO8RrqSiYiIpCV1UYqISFpSwImISFpSwImISFpSwImISFpSwImISFpSwImISFpSwImISFpSwImISFr6PzzsMlW8HukKAAAAAElFTkSuQmCC\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x216 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Checking Dice values for all slices in the dataset (image volumes and lung musks)"
      ],
      "metadata": {
        "id": "y7dvzraXcSCC"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "GT_path = '/content/gdrive/MyDrive/Segmentation/slices/mask/'\n",
        "pred_path = '/content/gdrive/MyDrive/Segmentation/slices/img/'\n",
        "\n",
        "import os\n",
        "\n",
        "# specify the img directory path\n",
        "path = \"path/to/img/folder/\"\n",
        "\n",
        "# list files in img directory\n",
        "files = os.listdir(GT_path)\n",
        "files2 = os.listdir(pred_path)\n",
        "\n",
        "dicee = []\n",
        "for file in files:\n",
        "    # make sure file is an image\n",
        "    if file.endswith('.png'):\n",
        "      for filee in files2:\n",
        "        if filee == file:\n",
        "          ## Ground Truth Mask\n",
        "          img = cv2.imread(GT_path + file)\n",
        "          img = np.asarray(img).astype(np.bool)\n",
        "\n",
        "          ## Predicted mask\n",
        "          img2 = cv2.imread(pred_path + filee)\n",
        "          img2 = cv2.subtract(250, img2)\n",
        "          img2 = np.asarray(img2).astype(np.bool)\n",
        "\n",
        "          value = dice_coef(img, img2)\n",
        "          print(\"Dice coeffecient value is\", value, \"\\n\") \n",
        "          dicee.append(value)\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "OmRrevWXkvKR",
        "outputId": "97da0ddb-5a69-460f-ddbf-3f109f5bd546"
      },
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:22: DeprecationWarning: `np.bool` is a deprecated alias for the builtin `bool`. To silence this warning, use `bool` by itself. Doing this will not modify any behavior and is safe. If you specifically wanted the numpy scalar type, use `np.bool_` here.\n",
            "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n",
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:27: DeprecationWarning: `np.bool` is a deprecated alias for the builtin `bool`. To silence this warning, use `bool` by itself. Doing this will not modify any behavior and is safe. If you specifically wanted the numpy scalar type, use `np.bool_` here.\n",
            "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Dice coeffecient value is 0.9982111363063744 \n",
            "\n",
            "Dice coeffecient value is 0.9925018896447468 \n",
            "\n",
            "Dice coeffecient value is 0.9780977576215671 \n",
            "\n",
            "Dice coeffecient value is 0.963119173595364 \n",
            "\n",
            "Dice coeffecient value is 0.9503980851599899 \n",
            "\n",
            "Dice coeffecient value is 0.9360644998740237 \n",
            "\n",
            "Dice coeffecient value is 0.9220005039052658 \n",
            "\n",
            "Dice coeffecient value is 0.9072889896699421 \n",
            "\n",
            "Dice coeffecient value is 0.8977047115142354 \n",
            "\n",
            "Dice coeffecient value is 0.8864222726127488 \n",
            "\n",
            "Dice coeffecient value is 0.8746384479717813 \n",
            "\n",
            "Dice coeffecient value is 0.8650062988158226 \n",
            "\n",
            "Dice coeffecient value is 0.8576114890400605 \n",
            "\n",
            "Dice coeffecient value is 0.8499899218946838 \n",
            "\n",
            "Dice coeffecient value is 0.8454195011337868 \n",
            "\n",
            "Dice coeffecient value is 0.8448551272360796 \n",
            "\n",
            "Dice coeffecient value is 0.842108843537415 \n",
            "\n",
            "Dice coeffecient value is 0.8383749055177626 \n",
            "\n",
            "Dice coeffecient value is 0.8396271101033006 \n",
            "\n",
            "Dice coeffecient value is 0.8401133786848073 \n",
            "\n",
            "Dice coeffecient value is 0.8412446460065508 \n",
            "\n",
            "Dice coeffecient value is 0.8430410682791635 \n",
            "\n",
            "Dice coeffecient value is 0.8422020660115899 \n",
            "\n",
            "Dice coeffecient value is 0.8414537666918619 \n",
            "\n",
            "Dice coeffecient value is 0.8435323759133283 \n",
            "\n",
            "Dice coeffecient value is 0.8410859158478207 \n",
            "\n",
            "Dice coeffecient value is 0.8395414462081129 \n",
            "\n",
            "Dice coeffecient value is 0.8352003023431595 \n",
            "\n",
            "Dice coeffecient value is 0.8338750314940792 \n",
            "\n",
            "Dice coeffecient value is 0.829344923154447 \n",
            "\n",
            "Dice coeffecient value is 0.8316276140085664 \n",
            "\n",
            "Dice coeffecient value is 0.8281179138321996 \n",
            "\n",
            "Dice coeffecient value is 0.8255933484504913 \n",
            "\n",
            "Dice coeffecient value is 0.8205794910556815 \n",
            "\n",
            "Dice coeffecient value is 0.8214184933232552 \n",
            "\n",
            "Dice coeffecient value is 0.8176820357772738 \n",
            "\n",
            "Dice coeffecient value is 0.83466868228773 \n",
            "\n",
            "Dice coeffecient value is 0.8490274628369866 \n",
            "\n",
            "Dice coeffecient value is 0.8653867472915092 \n",
            "\n",
            "Dice coeffecient value is 0.8863088939279415 \n",
            "\n",
            "Dice coeffecient value is 0.9120231796422272 \n",
            "\n",
            "Dice coeffecient value is 0.9449105568153188 \n",
            "\n",
            "Dice coeffecient value is 0.9616150163769212 \n",
            "\n",
            "Dice coeffecient value is 0.9673242630385488 \n",
            "\n",
            "Dice coeffecient value is 0.9771176618795666 \n",
            "\n",
            "Dice coeffecient value is 0.9969312169312169 \n",
            "\n",
            "Dice coeffecient value is 0.9937288989669942 \n",
            "\n",
            "Dice coeffecient value is 0.9923028470647518 \n",
            "\n",
            "Dice coeffecient value is 0.9957596371882086 \n",
            "\n",
            "Dice coeffecient value is 0.9963643235071806 \n",
            "\n",
            "Dice coeffecient value is 0.9920357772738725 \n",
            "\n",
            "Dice coeffecient value is 0.9811892164273117 \n",
            "\n",
            "Dice coeffecient value is 0.9521189216427312 \n",
            "\n",
            "Dice coeffecient value is 0.924618291761149 \n",
            "\n",
            "Dice coeffecient value is 0.8845427059712774 \n",
            "\n",
            "Dice coeffecient value is 0.8481632653061224 \n",
            "\n",
            "Dice coeffecient value is 0.8108742756361804 \n",
            "\n",
            "Dice coeffecient value is 0.7934341143864954 \n",
            "\n",
            "Dice coeffecient value is 0.7891005291005291 \n",
            "\n",
            "Dice coeffecient value is 0.7910707986898463 \n",
            "\n",
            "Dice coeffecient value is 0.7937641723356009 \n",
            "\n",
            "Dice coeffecient value is 0.7972285210380449 \n",
            "\n",
            "Dice coeffecient value is 0.7995918367346939 \n",
            "\n",
            "Dice coeffecient value is 0.8003804484756866 \n",
            "\n",
            "Dice coeffecient value is 0.803114134542706 \n",
            "\n",
            "Dice coeffecient value is 0.8033786848072563 \n",
            "\n",
            "Dice coeffecient value is 0.807538422776518 \n",
            "\n",
            "Dice coeffecient value is 0.8141446208112875 \n",
            "\n",
            "Dice coeffecient value is 0.8221441169060216 \n",
            "\n",
            "Dice coeffecient value is 0.8316200554295793 \n",
            "\n",
            "Dice coeffecient value is 0.8392693373645754 \n",
            "\n",
            "Dice coeffecient value is 0.8452078609221466 \n",
            "\n",
            "Dice coeffecient value is 0.8559435626102293 \n",
            "\n",
            "Dice coeffecient value is 0.8696900982615269 \n",
            "\n",
            "Dice coeffecient value is 0.885626102292769 \n",
            "\n",
            "Dice coeffecient value is 0.9015646258503401 \n",
            "\n",
            "Dice coeffecient value is 0.9222020660115898 \n",
            "\n",
            "Dice coeffecient value is 0.9435122197026959 \n",
            "\n",
            "Dice coeffecient value is 0.9586117409926934 \n",
            "\n",
            "Dice coeffecient value is 0.9712446460065508 \n",
            "\n",
            "Dice coeffecient value is 0.9870068027210884 \n",
            "\n",
            "Dice coeffecient value is 0.9984983623078861 \n",
            "\n",
            "Dice coeffecient value is 0.998442932728647 \n",
            "\n",
            "Dice coeffecient value is 0.9982716049382716 \n",
            "\n",
            "Dice coeffecient value is 0.9969664902998236 \n",
            "\n",
            "Dice coeffecient value is 0.9969614512471655 \n",
            "\n",
            "Dice coeffecient value is 0.9968783068783069 \n",
            "\n",
            "Dice coeffecient value is 0.996586041824137 \n",
            "\n",
            "Dice coeffecient value is 0.9961577223481985 \n",
            "\n",
            "Dice coeffecient value is 0.9958528596623835 \n",
            "\n",
            "Dice coeffecient value is 0.9957445200302343 \n",
            "\n",
            "Dice coeffecient value is 0.9956840513983372 \n",
            "\n",
            "Dice coeffecient value is 0.9956084656084656 \n",
            "\n",
            "Dice coeffecient value is 0.9953313177122701 \n",
            "\n",
            "Dice coeffecient value is 0.9951373141849332 \n",
            "\n",
            "Dice coeffecient value is 0.9945401864449483 \n",
            "\n",
            "Dice coeffecient value is 0.994069035021416 \n",
            "\n",
            "Dice coeffecient value is 0.993817082388511 \n",
            "\n",
            "Dice coeffecient value is 0.9935449735449735 \n",
            "\n",
            "Dice coeffecient value is 0.993162005542958 \n",
            "\n",
            "Dice coeffecient value is 0.9930360292265055 \n",
            "\n",
            "Dice coeffecient value is 0.9928017132779038 \n",
            "\n",
            "Dice coeffecient value is 0.9926480221718317 \n",
            "\n",
            "Dice coeffecient value is 0.9925195263290502 \n",
            "\n",
            "Dice coeffecient value is 0.9924489795918368 \n",
            "\n",
            "Dice coeffecient value is 0.9924162257495591 \n",
            "\n",
            "Dice coeffecient value is 0.9923456790123457 \n",
            "\n",
            "Dice coeffecient value is 0.9923255228017133 \n",
            "\n",
            "Dice coeffecient value is 0.9922927689594356 \n",
            "\n",
            "Dice coeffecient value is 0.9925699168556311 \n",
            "\n",
            "Dice coeffecient value is 0.9927714789619552 \n",
            "\n",
            "Dice coeffecient value is 0.9930587049634668 \n",
            "\n",
            "Dice coeffecient value is 0.9932451499118166 \n",
            "\n",
            "Dice coeffecient value is 0.9936356764928194 \n",
            "\n",
            "Dice coeffecient value is 0.9941118669690098 \n",
            "\n",
            "Dice coeffecient value is 0.9944872763920383 \n",
            "\n",
            "Dice coeffecient value is 0.9949433106575963 \n",
            "\n",
            "Dice coeffecient value is 0.9952557319223986 \n",
            "\n",
            "Dice coeffecient value is 0.9955051650289746 \n",
            "\n",
            "Dice coeffecient value is 0.9957218442932728 \n",
            "\n",
            "Dice coeffecient value is 0.9958982111363064 \n",
            "\n",
            "Dice coeffecient value is 0.9961552028218695 \n",
            "\n",
            "Dice coeffecient value is 0.9963517258755354 \n",
            "\n",
            "Dice coeffecient value is 0.9966591080876795 \n",
            "\n",
            "Dice coeffecient value is 0.9968379944570421 \n",
            "\n",
            "Dice coeffecient value is 0.9969715293524817 \n",
            "\n",
            "Dice coeffecient value is 0.9971982867220962 \n",
            "\n",
            "Dice coeffecient value is 0.9972511967750063 \n",
            "\n",
            "Dice coeffecient value is 0.9972688334593096 \n",
            "\n",
            "Dice coeffecient value is 0.9969538926681784 \n",
            "\n",
            "Dice coeffecient value is 0.9968808264046359 \n",
            "\n",
            "Dice coeffecient value is 0.996734693877551 \n",
            "\n",
            "Dice coeffecient value is 0.9963945578231292 \n",
            "\n",
            "Dice coeffecient value is 0.9962333081380701 \n",
            "\n",
            "Dice coeffecient value is 0.9960670194003527 \n",
            "\n",
            "Dice coeffecient value is 0.9958024691358025 \n",
            "\n",
            "Dice coeffecient value is 0.9954623330813807 \n",
            "\n",
            "Dice coeffecient value is 0.9950516502897455 \n",
            "\n",
            "Dice coeffecient value is 0.9945477450239355 \n",
            "\n",
            "Dice coeffecient value is 0.9937414965986394 \n",
            "\n",
            "Dice coeffecient value is 0.9930713025951121 \n",
            "\n",
            "Dice coeffecient value is 0.9923078861174099 \n",
            "\n",
            "Dice coeffecient value is 0.9915847820609726 \n",
            "\n",
            "Dice coeffecient value is 0.9911413454270597 \n",
            "\n",
            "Dice coeffecient value is 0.9905215419501133 \n",
            "\n",
            "Dice coeffecient value is 0.9899395313681028 \n",
            "\n",
            "Dice coeffecient value is 0.9893398841017889 \n",
            "\n",
            "Dice coeffecient value is 0.9887503149407911 \n",
            "\n",
            "Dice coeffecient value is 0.9882086167800453 \n",
            "\n",
            "Dice coeffecient value is 0.9875988914084152 \n",
            "\n",
            "Dice coeffecient value is 0.9864021164021164 \n",
            "\n",
            "Dice coeffecient value is 0.9854749307130259 \n",
            "\n",
            "Dice coeffecient value is 0.9843512219702696 \n",
            "\n",
            "Dice coeffecient value is 0.9825245653817083 \n",
            "\n",
            "Dice coeffecient value is 0.9808465608465609 \n",
            "\n",
            "Dice coeffecient value is 0.9788384983623079 \n",
            "\n",
            "Dice coeffecient value is 0.9768127991937515 \n",
            "\n",
            "Dice coeffecient value is 0.9748500881834216 \n",
            "\n",
            "Dice coeffecient value is 0.9728067523305619 \n",
            "\n",
            "Dice coeffecient value is 0.9705416981607458 \n",
            "\n",
            "Dice coeffecient value is 0.9679138321995465 \n",
            "\n",
            "Dice coeffecient value is 0.9652103804484757 \n",
            "\n",
            "Dice coeffecient value is 0.9627311665406904 \n",
            "\n",
            "Dice coeffecient value is 0.9599168556311414 \n",
            "\n",
            "Dice coeffecient value is 0.9572663139329806 \n",
            "\n",
            "Dice coeffecient value is 0.954623330813807 \n",
            "\n",
            "Dice coeffecient value is 0.9519173595364071 \n",
            "\n",
            "Dice coeffecient value is 0.9493650793650794 \n",
            "\n",
            "Dice coeffecient value is 0.9468253968253968 \n",
            "\n",
            "Dice coeffecient value is 0.9444545225497607 \n",
            "\n",
            "Dice coeffecient value is 0.9419727891156463 \n",
            "\n",
            "Dice coeffecient value is 0.9395867976820358 \n",
            "\n",
            "Dice coeffecient value is 0.9370672713529856 \n",
            "\n",
            "Dice coeffecient value is 0.9341471403376165 \n",
            "\n",
            "Dice coeffecient value is 0.9315520282186949 \n",
            "\n",
            "Dice coeffecient value is 0.9286520534139582 \n",
            "\n",
            "Dice coeffecient value is 0.9266162761400857 \n",
            "\n",
            "Dice coeffecient value is 0.9238120433358529 \n",
            "\n",
            "Dice coeffecient value is 0.9205593348450491 \n",
            "\n",
            "Dice coeffecient value is 0.9159032501889645 \n",
            "\n",
            "Dice coeffecient value is 0.9138523557571177 \n",
            "\n",
            "Dice coeffecient value is 0.9101158982111363 \n",
            "\n",
            "Dice coeffecient value is 0.9068581506676745 \n",
            "\n",
            "Dice coeffecient value is 0.9030587049634669 \n",
            "\n",
            "Dice coeffecient value is 0.8989468379944571 \n",
            "\n",
            "Dice coeffecient value is 0.8948954396573444 \n",
            "\n",
            "Dice coeffecient value is 0.8910707986898463 \n",
            "\n",
            "Dice coeffecient value is 0.8866591080876796 \n",
            "\n",
            "Dice coeffecient value is 0.8810909549004787 \n",
            "\n",
            "Dice coeffecient value is 0.8766389518770471 \n",
            "\n",
            "Dice coeffecient value is 0.8716628873771731 \n",
            "\n",
            "Dice coeffecient value is 0.867734945830184 \n",
            "\n",
            "Dice coeffecient value is 0.863620559334845 \n",
            "\n",
            "Dice coeffecient value is 0.8590728143109095 \n",
            "\n",
            "Dice coeffecient value is 0.8549937011841774 \n",
            "\n",
            "Dice coeffecient value is 0.850400604686319 \n",
            "\n",
            "Dice coeffecient value is 0.8467120181405896 \n",
            "\n",
            "Dice coeffecient value is 0.8420987654320987 \n",
            "\n",
            "Dice coeffecient value is 0.8379314688838498 \n",
            "\n",
            "Dice coeffecient value is 0.833519778281683 \n",
            "\n",
            "Dice coeffecient value is 0.8289972285210381 \n",
            "\n",
            "Dice coeffecient value is 0.8228117913832199 \n",
            "\n",
            "Dice coeffecient value is 0.8209498614260519 \n",
            "\n",
            "Dice coeffecient value is 0.8192214663643235 \n",
            "\n",
            "Dice coeffecient value is 0.8167926429831192 \n",
            "\n",
            "Dice coeffecient value is 0.8152834467120181 \n",
            "\n",
            "Dice coeffecient value is 0.8132249937011842 \n",
            "\n",
            "Dice coeffecient value is 0.8109674981103553 \n",
            "\n",
            "Dice coeffecient value is 0.8095112118921642 \n",
            "\n",
            "Dice coeffecient value is 0.8075963718820862 \n",
            "\n",
            "Dice coeffecient value is 0.8065129755605946 \n",
            "\n",
            "Dice coeffecient value is 0.8046182917611489 \n",
            "\n",
            "Dice coeffecient value is 0.803068783068783 \n",
            "\n",
            "Dice coeffecient value is 0.8020811287477955 \n",
            "\n",
            "Dice coeffecient value is 0.8002217183169564 \n",
            "\n",
            "Dice coeffecient value is 0.7984630889392794 \n",
            "\n",
            "Dice coeffecient value is 0.7958982111363063 \n",
            "\n",
            "Dice coeffecient value is 0.7944973544973545 \n",
            "\n",
            "Dice coeffecient value is 0.7925547996976569 \n",
            "\n",
            "Dice coeffecient value is 0.7905568153187201 \n",
            "\n",
            "Dice coeffecient value is 0.789292013101537 \n",
            "\n",
            "Dice coeffecient value is 0.7891735953640715 \n",
            "\n",
            "Dice coeffecient value is 0.7892013101536911 \n",
            "\n",
            "Dice coeffecient value is 0.7892088687326783 \n",
            "\n",
            "Dice coeffecient value is 0.7890526581002771 \n",
            "\n",
            "Dice coeffecient value is 0.788999748047367 \n",
            "\n",
            "Dice coeffecient value is 0.7890400604686318 \n",
            "\n",
            "Dice coeffecient value is 0.7889896699420509 \n",
            "\n",
            "Dice coeffecient value is 0.7888989669942051 \n",
            "\n",
            "Dice coeffecient value is 0.7889065255731922 \n",
            "\n",
            "Dice coeffecient value is 0.7889821113630637 \n",
            "\n",
            "Dice coeffecient value is 0.7891836734693878 \n",
            "\n",
            "Dice coeffecient value is 0.7894356261022928 \n",
            "\n",
            "Dice coeffecient value is 0.7895993953136811 \n",
            "\n",
            "Dice coeffecient value is 0.7896825396825397 \n",
            "\n",
            "Dice coeffecient value is 0.7897304106827916 \n",
            "\n",
            "Dice coeffecient value is 0.7900151171579743 \n",
            "\n",
            "Dice coeffecient value is 0.7904812295288486 \n",
            "\n",
            "Dice coeffecient value is 0.7909297052154195 \n",
            "\n",
            "Dice coeffecient value is 0.7913227513227513 \n",
            "\n",
            "Dice coeffecient value is 0.7917309145880574 \n",
            "\n",
            "Dice coeffecient value is 0.7922826908541194 \n",
            "\n",
            "Dice coeffecient value is 0.7927462836986646 \n",
            "\n",
            "Dice coeffecient value is 0.7931317712270093 \n",
            "\n",
            "Dice coeffecient value is 0.7933761652809271 \n",
            "\n",
            "Dice coeffecient value is 0.7935878054925674 \n",
            "\n",
            "Dice coeffecient value is 0.7939077853363568 \n",
            "\n",
            "Dice coeffecient value is 0.7941320231796423 \n",
            "\n",
            "Dice coeffecient value is 0.7943058704963467 \n",
            "\n",
            "Dice coeffecient value is 0.7946963970773494 \n",
            "\n",
            "Dice coeffecient value is 0.7946384479717813 \n",
            "\n",
            "Dice coeffecient value is 0.7947694633408919 \n",
            "\n",
            "Dice coeffecient value is 0.7947367094986143 \n",
            "\n",
            "Dice coeffecient value is 0.7947896195515243 \n",
            "\n",
            "Dice coeffecient value is 0.7960443436633913 \n",
            "\n",
            "Dice coeffecient value is 0.7961249685059208 \n",
            "\n",
            "Dice coeffecient value is 0.7975081884605694 \n",
            "\n",
            "Dice coeffecient value is 0.7983320735701688 \n",
            "\n",
            "Dice coeffecient value is 0.7981859410430839 \n",
            "\n",
            "Dice coeffecient value is 0.7984328546233308 \n",
            "\n",
            "Dice coeffecient value is 0.7993701184177374 \n",
            "\n",
            "Dice coeffecient value is 0.7989594356261023 \n",
            "\n",
            "Dice coeffecient value is 0.7988914084152179 \n",
            "\n",
            "Dice coeffecient value is 0.7988888888888889 \n",
            "\n",
            "Dice coeffecient value is 0.7989821113630637 \n",
            "\n",
            "Dice coeffecient value is 0.7989115646258503 \n",
            "\n",
            "Dice coeffecient value is 0.7996875787351978 \n",
            "\n",
            "Dice coeffecient value is 0.8010178886369362 \n",
            "\n",
            "Dice coeffecient value is 0.8010607205845302 \n",
            "\n",
            "Dice coeffecient value is 0.8023053665910809 \n",
            "\n",
            "Dice coeffecient value is 0.8026152683295541 \n",
            "\n",
            "Dice coeffecient value is 0.8029780801209373 \n",
            "\n",
            "Dice coeffecient value is 0.8033081380700429 \n",
            "\n",
            "Dice coeffecient value is 0.8032804232804233 \n",
            "\n",
            "Dice coeffecient value is 0.8031418493323256 \n",
            "\n",
            "Dice coeffecient value is 0.8029528848576467 \n",
            "\n",
            "Dice coeffecient value is 0.8029100529100529 \n",
            "\n",
            "Dice coeffecient value is 0.803063744016125 \n",
            "\n",
            "Dice coeffecient value is 0.8034769463340892 \n",
            "\n",
            "Dice coeffecient value is 0.8044973544973545 \n",
            "\n",
            "Dice coeffecient value is 0.8043764172335601 \n",
            "\n",
            "Dice coeffecient value is 0.8049357520786092 \n",
            "\n",
            "Dice coeffecient value is 0.8048954396573444 \n",
            "\n",
            "Dice coeffecient value is 0.8048853615520282 \n",
            "\n",
            "Dice coeffecient value is 0.804978584026203 \n",
            "\n",
            "Dice coeffecient value is 0.8053640715545477 \n",
            "\n",
            "Dice coeffecient value is 0.8057873519778281 \n",
            "\n",
            "Dice coeffecient value is 0.806379440665155 \n",
            "\n",
            "Dice coeffecient value is 0.8065079365079365 \n",
            "\n",
            "Dice coeffecient value is 0.8061048122952885 \n",
            "\n",
            "Dice coeffecient value is 0.8063592844545225 \n",
            "\n",
            "Dice coeffecient value is 0.8062962962962963 \n",
            "\n",
            "Dice coeffecient value is 0.8063164525069287 \n",
            "\n",
            "Dice coeffecient value is 0.8066263542454019 \n",
            "\n",
            "Dice coeffecient value is 0.8069387755102041 \n",
            "\n",
            "Dice coeffecient value is 0.8072184429327286 \n",
            "\n",
            "Dice coeffecient value is 0.8079818594104309 \n",
            "\n",
            "Dice coeffecient value is 0.8080095742000504 \n",
            "\n",
            "Dice coeffecient value is 0.8079339884101789 \n",
            "\n",
            "Dice coeffecient value is 0.8079541446208113 \n",
            "\n",
            "Dice coeffecient value is 0.8078483245149912 \n",
            "\n",
            "Dice coeffecient value is 0.8075585789871504 \n",
            "\n",
            "Dice coeffecient value is 0.8074855127236079 \n",
            "\n",
            "Dice coeffecient value is 0.8077828168304358 \n",
            "\n",
            "Dice coeffecient value is 0.8070874275636181 \n",
            "\n",
            "Dice coeffecient value is 0.807490551776266 \n",
            "\n",
            "Dice coeffecient value is 0.8078558830939784 \n",
            "\n",
            "Dice coeffecient value is 0.8095187704711514 \n",
            "\n",
            "Dice coeffecient value is 0.8116931216931217 \n",
            "\n",
            "Dice coeffecient value is 0.8118039808515999 \n",
            "\n",
            "Dice coeffecient value is 0.8119652305366591 \n",
            "\n",
            "Dice coeffecient value is 0.811854371378181 \n",
            "\n",
            "Dice coeffecient value is 0.813318216175359 \n",
            "\n",
            "Dice coeffecient value is 0.8134517510707987 \n",
            "\n",
            "Dice coeffecient value is 0.8142957923910304 \n",
            "\n",
            "Dice coeffecient value is 0.8136659108087679 \n",
            "\n",
            "Dice coeffecient value is 0.8136029226505417 \n",
            "\n",
            "Dice coeffecient value is 0.8134517510707987 \n",
            "\n",
            "Dice coeffecient value is 0.8142076089695137 \n",
            "\n",
            "Dice coeffecient value is 0.8150516502897456 \n",
            "\n",
            "Dice coeffecient value is 0.8150617283950617 \n",
            "\n",
            "Dice coeffecient value is 0.8150188964474678 \n",
            "\n",
            "Dice coeffecient value is 0.8153136810279668 \n",
            "\n",
            "Dice coeffecient value is 0.8157722348198538 \n",
            "\n",
            "Dice coeffecient value is 0.8164121945074326 \n",
            "\n",
            "Dice coeffecient value is 0.8171126228269086 \n",
            "\n",
            "Dice coeffecient value is 0.8185487528344672 \n",
            "\n",
            "Dice coeffecient value is 0.819092970521542 \n",
            "\n",
            "Dice coeffecient value is 0.8198160745779793 \n",
            "\n",
            "Dice coeffecient value is 0.820599647266314 \n",
            "\n",
            "Dice coeffecient value is 0.8215369110607206 \n",
            "\n",
            "Dice coeffecient value is 0.822262534643487 \n",
            "\n",
            "Dice coeffecient value is 0.8228243890148652 \n",
            "\n",
            "Dice coeffecient value is 0.8219803476946335 \n",
            "\n",
            "Dice coeffecient value is 0.8226606198034769 \n",
            "\n",
            "Dice coeffecient value is 0.8242630385487528 \n",
            "\n",
            "Dice coeffecient value is 0.8251423532375913 \n",
            "\n",
            "Dice coeffecient value is 0.8260670194003528 \n",
            "\n",
            "Dice coeffecient value is 0.8266162761400857 \n",
            "\n",
            "Dice coeffecient value is 0.8273973293020912 \n",
            "\n",
            "Dice coeffecient value is 0.8283547493071303 \n",
            "\n",
            "Dice coeffecient value is 0.8290602166792643 \n",
            "\n",
            "Dice coeffecient value is 0.8300302343159486 \n",
            "\n",
            "Dice coeffecient value is 0.8311791383219954 \n",
            "\n",
            "Dice coeffecient value is 0.8322952884857647 \n",
            "\n",
            "Dice coeffecient value is 0.8336281179138322 \n",
            "\n",
            "Dice coeffecient value is 0.8334794658604182 \n",
            "\n",
            "Dice coeffecient value is 0.8346938775510204 \n",
            "\n",
            "Dice coeffecient value is 0.8348223733938019 \n",
            "\n",
            "Dice coeffecient value is 0.8346283698664652 \n",
            "\n",
            "Dice coeffecient value is 0.8349004787100025 \n",
            "\n",
            "Dice coeffecient value is 0.8352204585537919 \n",
            "\n",
            "Dice coeffecient value is 0.8361652809271857 \n",
            "\n",
            "Dice coeffecient value is 0.8371932476694381 \n",
            "\n",
            "Dice coeffecient value is 0.838289241622575 \n",
            "\n",
            "Dice coeffecient value is 0.8389997480473671 \n",
            "\n",
            "Dice coeffecient value is 0.8399395313681028 \n",
            "\n",
            "Dice coeffecient value is 0.8407231040564374 \n",
            "\n",
            "Dice coeffecient value is 0.8413177122700932 \n",
            "\n",
            "Dice coeffecient value is 0.8413832199546485 \n",
            "\n",
            "Dice coeffecient value is 0.8419450743260267 \n",
            "\n",
            "Dice coeffecient value is 0.8424918115394305 \n",
            "\n",
            "Dice coeffecient value is 0.8417057193247669 \n",
            "\n",
            "Dice coeffecient value is 0.842461577223482 \n",
            "\n",
            "Dice coeffecient value is 0.8430788611740992 \n",
            "\n",
            "Dice coeffecient value is 0.8435953640715546 \n",
            "\n",
            "Dice coeffecient value is 0.8444066515495087 \n",
            "\n",
            "Dice coeffecient value is 0.8451070798689846 \n",
            "\n",
            "Dice coeffecient value is 0.845878054925674 \n",
            "\n",
            "Dice coeffecient value is 0.8465432098765432 \n",
            "\n",
            "Dice coeffecient value is 0.8473670949861426 \n",
            "\n",
            "Dice coeffecient value is 0.8481481481481481 \n",
            "\n",
            "Dice coeffecient value is 0.8490753338372385 \n",
            "\n",
            "Dice coeffecient value is 0.8499647266313933 \n",
            "\n",
            "Dice coeffecient value is 0.8507482993197278 \n",
            "\n",
            "Dice coeffecient value is 0.8516679264298312 \n",
            "\n",
            "Dice coeffecient value is 0.8526480221718317 \n",
            "\n",
            "Dice coeffecient value is 0.8536986646510456 \n",
            "\n",
            "Dice coeffecient value is 0.8548551272360796 \n",
            "\n",
            "Dice coeffecient value is 0.8559234063995969 \n",
            "\n",
            "Dice coeffecient value is 0.85718820861678 \n",
            "\n",
            "Dice coeffecient value is 0.8583975812547241 \n",
            "\n",
            "Dice coeffecient value is 0.8596422272612749 \n",
            "\n",
            "Dice coeffecient value is 0.8608238851095994 \n",
            "\n",
            "Dice coeffecient value is 0.8621214411690602 \n",
            "\n",
            "Dice coeffecient value is 0.8633308138070043 \n",
            "\n",
            "Dice coeffecient value is 0.864527588813303 \n",
            "\n",
            "Dice coeffecient value is 0.865928445452255 \n",
            "\n",
            "Dice coeffecient value is 0.8671680524061477 \n",
            "\n",
            "Dice coeffecient value is 0.8685991433610482 \n",
            "\n",
            "Dice coeffecient value is 0.8698841017888637 \n",
            "\n",
            "Dice coeffecient value is 0.8711866969009826 \n",
            "\n",
            "Dice coeffecient value is 0.872559838750315 \n",
            "\n",
            "Dice coeffecient value is 0.8740010078105316 \n",
            "\n",
            "Dice coeffecient value is 0.8754950869236584 \n",
            "\n",
            "Dice coeffecient value is 0.8768858654572941 \n",
            "\n",
            "Dice coeffecient value is 0.8784353741496599 \n",
            "\n",
            "Dice coeffecient value is 0.8798941798941798 \n",
            "\n",
            "Dice coeffecient value is 0.8814008566389518 \n",
            "\n",
            "Dice coeffecient value is 0.8829201310153691 \n",
            "\n",
            "Dice coeffecient value is 0.8843487024439406 \n",
            "\n",
            "Dice coeffecient value is 0.8857369614512471 \n",
            "\n",
            "Dice coeffecient value is 0.8872159234063995 \n",
            "\n",
            "Dice coeffecient value is 0.8886218190980095 \n",
            "\n",
            "Dice coeffecient value is 0.8899244142101285 \n",
            "\n",
            "Dice coeffecient value is 0.8913303099017384 \n",
            "\n",
            "Dice coeffecient value is 0.8928395061728395 \n",
            "\n",
            "Dice coeffecient value is 0.8942151675485008 \n",
            "\n",
            "Dice coeffecient value is 0.8957369614512471 \n",
            "\n",
            "Dice coeffecient value is 0.8971630133534896 \n",
            "\n",
            "Dice coeffecient value is 0.8987654320987655 \n",
            "\n",
            "Dice coeffecient value is 0.9002040816326531 \n",
            "\n",
            "Dice coeffecient value is 0.9017813051146385 \n",
            "\n",
            "Dice coeffecient value is 0.9033610481229529 \n",
            "\n",
            "Dice coeffecient value is 0.9050466112370874 \n",
            "\n",
            "Dice coeffecient value is 0.9068757873519778 \n",
            "\n",
            "Dice coeffecient value is 0.9086268581506677 \n",
            "\n",
            "Dice coeffecient value is 0.9104207608969513 \n",
            "\n",
            "Dice coeffecient value is 0.9122373393801966 \n",
            "\n",
            "Dice coeffecient value is 0.9139833711262283 \n",
            "\n",
            "Dice coeffecient value is 0.9158856135046611 \n",
            "\n",
            "Dice coeffecient value is 0.9177525825144873 \n",
            "\n",
            "Dice coeffecient value is 0.9197178130511464 \n",
            "\n",
            "Dice coeffecient value is 0.9215847820609725 \n",
            "\n",
            "Dice coeffecient value is 0.9235978835978836 \n",
            "\n",
            "Dice coeffecient value is 0.9255127236079617 \n",
            "\n",
            "Dice coeffecient value is 0.9276442428823382 \n",
            "\n",
            "Dice coeffecient value is 0.929700176366843 \n",
            "\n",
            "Dice coeffecient value is 0.9317258755353993 \n",
            "\n",
            "Dice coeffecient value is 0.9336230788611741 \n",
            "\n",
            "Dice coeffecient value is 0.9355580750818846 \n",
            "\n",
            "Dice coeffecient value is 0.9374200050390527 \n",
            "\n",
            "Dice coeffecient value is 0.9392290249433106 \n",
            "\n",
            "Dice coeffecient value is 0.9410682791635172 \n",
            "\n",
            "Dice coeffecient value is 0.9427311665406903 \n",
            "\n",
            "Dice coeffecient value is 0.9444142101284958 \n",
            "\n",
            "Dice coeffecient value is 0.9459662383471907 \n",
            "\n",
            "Dice coeffecient value is 0.9475056689342404 \n",
            "\n",
            "Dice coeffecient value is 0.9490148652053414 \n",
            "\n",
            "Dice coeffecient value is 0.950403124212648 \n",
            "\n",
            "Dice coeffecient value is 0.951708238851096 \n",
            "\n",
            "Dice coeffecient value is 0.9531594860166289 \n",
            "\n",
            "Dice coeffecient value is 0.9545326278659612 \n",
            "\n",
            "Dice coeffecient value is 0.9559183673469388 \n",
            "\n",
            "Dice coeffecient value is 0.9571932476694381 \n",
            "\n",
            "Dice coeffecient value is 0.9585311161501637 \n",
            "\n",
            "Dice coeffecient value is 0.9598740236835475 \n",
            "\n",
            "Dice coeffecient value is 0.961209372637944 \n",
            "\n",
            "Dice coeffecient value is 0.9624363819601914 \n",
            "\n",
            "Dice coeffecient value is 0.9637540942302847 \n",
            "\n",
            "Dice coeffecient value is 0.9650491307634165 \n",
            "\n",
            "Dice coeffecient value is 0.9663592844545226 \n",
            "\n",
            "Dice coeffecient value is 0.9677727387251197 \n",
            "\n",
            "Dice coeffecient value is 0.9690199042579994 \n",
            "\n",
            "Dice coeffecient value is 0.9702317964222726 \n",
            "\n",
            "Dice coeffecient value is 0.9714739229024943 \n",
            "\n",
            "Dice coeffecient value is 0.9727941546989166 \n",
            "\n",
            "Dice coeffecient value is 0.9740665154950869 \n",
            "\n",
            "Dice coeffecient value is 0.9754421768707483 \n",
            "\n",
            "Dice coeffecient value is 0.9766792642983119 \n",
            "\n",
            "Dice coeffecient value is 0.9780171327790376 \n",
            "\n",
            "Dice coeffecient value is 0.9792894935752079 \n",
            "\n",
            "Dice coeffecient value is 0.9807079868984631 \n",
            "\n",
            "Dice coeffecient value is 0.982113882590073 \n",
            "\n",
            "Dice coeffecient value is 0.9834845049130764 \n",
            "\n",
            "Dice coeffecient value is 0.9847795414462082 \n",
            "\n",
            "Dice coeffecient value is 0.9862358276643991 \n",
            "\n",
            "Dice coeffecient value is 0.9873645754598136 \n",
            "\n",
            "Dice coeffecient value is 0.9886898463088939 \n",
            "\n",
            "Dice coeffecient value is 0.9899118165784833 \n",
            "\n",
            "Dice coeffecient value is 0.9912446460065508 \n",
            "\n",
            "Dice coeffecient value is 0.9925799949609473 \n",
            "\n",
            "Dice coeffecient value is 0.9937843285462333 \n",
            "\n",
            "Dice coeffecient value is 0.9950390526581003 \n",
            "\n",
            "Dice coeffecient value is 0.9959863945578231 \n",
            "\n",
            "Dice coeffecient value is 0.9969035021415974 \n",
            "\n",
            "Dice coeffecient value is 0.9977928949357521 \n",
            "\n",
            "Dice coeffecient value is 0.9983371126228269 \n",
            "\n",
            "Dice coeffecient value is 0.9985285966238348 \n",
            "\n",
            "Dice coeffecient value is 0.9985764676240867 \n",
            "\n",
            "Dice coeffecient value is 0.9985840262030738 \n",
            "\n",
            "Dice coeffecient value is 0.9985638699924414 \n",
            "\n",
            "Dice coeffecient value is 0.9985638699924414 \n",
            "\n",
            "Dice coeffecient value is 0.9985487528344671 \n",
            "\n",
            "Dice coeffecient value is 0.9985361552028219 \n",
            "\n",
            "Dice coeffecient value is 0.9984832451499118 \n",
            "\n",
            "Dice coeffecient value is 0.9984756865709247 \n",
            "\n",
            "Dice coeffecient value is 0.998490803728899 \n",
            "\n",
            "Dice coeffecient value is 0.9984504913076342 \n",
            "\n",
            "Dice coeffecient value is 0.9984227765180146 \n",
            "\n",
            "Dice coeffecient value is 0.9984328546233309 \n",
            "\n",
            "Dice coeffecient value is 0.9984303350970017 \n",
            "\n",
            "Dice coeffecient value is 0.9984303350970017 \n",
            "\n",
            "Dice coeffecient value is 0.9984101788863694 \n",
            "\n",
            "Dice coeffecient value is 0.998392542202066 \n",
            "\n",
            "Dice coeffecient value is 0.9983824640967498 \n",
            "\n",
            "Dice coeffecient value is 0.9983698664651045 \n",
            "\n",
            "Dice coeffecient value is 0.998342151675485 \n",
            "\n",
            "Dice coeffecient value is 0.9983043587805492 \n",
            "\n",
            "Dice coeffecient value is 0.9982867220962459 \n",
            "\n",
            "Dice coeffecient value is 0.9982791635172588 \n",
            "\n",
            "Dice coeffecient value is 0.9982489292013101 \n",
            "\n",
            "Dice coeffecient value is 0.994771982867221 \n",
            "\n",
            "Dice coeffecient value is 0.9944998740236836 \n",
            "\n",
            "Dice coeffecient value is 0.9899244142101284 \n",
            "\n",
            "Dice coeffecient value is 0.987790375409423 \n",
            "\n",
            "Dice coeffecient value is 0.9833030990173848 \n",
            "\n",
            "Dice coeffecient value is 0.978087679516251 \n",
            "\n",
            "Dice coeffecient value is 0.9681683043587805 \n",
            "\n",
            "Dice coeffecient value is 0.9526203073822122 \n",
            "\n",
            "Dice coeffecient value is 0.9325497606449987 \n",
            "\n",
            "Dice coeffecient value is 0.8909901738473167 \n",
            "\n",
            "Dice coeffecient value is 0.8548173343411438 \n",
            "\n",
            "Dice coeffecient value is 0.8195893172083648 \n",
            "\n",
            "Dice coeffecient value is 0.810604686318972 \n",
            "\n",
            "Dice coeffecient value is 0.792965482489292 \n",
            "\n",
            "Dice coeffecient value is 0.7744293272864702 \n",
            "\n",
            "Dice coeffecient value is 0.7619475938523558 \n",
            "\n",
            "Dice coeffecient value is 0.7512496850592089 \n",
            "\n",
            "Dice coeffecient value is 0.7605416981607458 \n",
            "\n",
            "Dice coeffecient value is 0.7604409171075838 \n",
            "\n",
            "Dice coeffecient value is 0.7610153691106072 \n",
            "\n",
            "Dice coeffecient value is 0.766883345930965 \n",
            "\n",
            "Dice coeffecient value is 0.7702292768959436 \n",
            "\n",
            "Dice coeffecient value is 0.7724892920131016 \n",
            "\n",
            "Dice coeffecient value is 0.7750970017636685 \n",
            "\n",
            "Dice coeffecient value is 0.7797304106827916 \n",
            "\n",
            "Dice coeffecient value is 0.78533131771227 \n",
            "\n",
            "Dice coeffecient value is 0.7900327538422777 \n",
            "\n",
            "Dice coeffecient value is 0.7982111363063744 \n",
            "\n",
            "Dice coeffecient value is 0.8110380448475687 \n",
            "\n",
            "Dice coeffecient value is 0.8268707482993197 \n",
            "\n",
            "Dice coeffecient value is 0.8490627362055934 \n",
            "\n",
            "Dice coeffecient value is 0.8790501385739481 \n",
            "\n",
            "Dice coeffecient value is 0.9045804988662132 \n",
            "\n",
            "Dice coeffecient value is 0.9330763416477702 \n",
            "\n",
            "Dice coeffecient value is 0.9643487024439406 \n",
            "\n",
            "Dice coeffecient value is 0.9895641219450744 \n",
            "\n",
            "Dice coeffecient value is 0.99763920382968 \n",
            "\n",
            "Dice coeffecient value is 0.9976694381456286 \n",
            "\n",
            "Dice coeffecient value is 0.9977828168304359 \n",
            "\n",
            "Dice coeffecient value is 0.9998034769463341 \n",
            "\n",
            "Dice coeffecient value is 0.9986495338876291 \n",
            "\n",
            "Dice coeffecient value is 0.9976140085663895 \n",
            "\n",
            "Dice coeffecient value is 0.9976719576719577 \n",
            "\n",
            "Dice coeffecient value is 0.9979516250944822 \n",
            "\n",
            "Dice coeffecient value is 0.9963844797178131 \n",
            "\n",
            "Dice coeffecient value is 0.9952632905013857 \n",
            "\n",
            "Dice coeffecient value is 0.9946107331821618 \n",
            "\n",
            "Dice coeffecient value is 0.9910934744268077 \n",
            "\n",
            "Dice coeffecient value is 0.9860141093474427 \n",
            "\n",
            "Dice coeffecient value is 0.9765910808767951 \n",
            "\n",
            "Dice coeffecient value is 0.9580574452003023 \n",
            "\n",
            "Dice coeffecient value is 0.9435222978080121 \n",
            "\n",
            "Dice coeffecient value is 0.9244948349710255 \n",
            "\n",
            "Dice coeffecient value is 0.9046056941295036 \n",
            "\n",
            "Dice coeffecient value is 0.8550592088687327 \n",
            "\n",
            "Dice coeffecient value is 0.8358931720836483 \n",
            "\n",
            "Dice coeffecient value is 0.8162937767699673 \n",
            "\n",
            "Dice coeffecient value is 0.7967069790879314 \n",
            "\n",
            "Dice coeffecient value is 0.7981985386747291 \n",
            "\n",
            "Dice coeffecient value is 0.7995918367346939 \n",
            "\n",
            "Dice coeffecient value is 0.8021793902746284 \n",
            "\n",
            "Dice coeffecient value is 0.8007785336356765 \n",
            "\n",
            "Dice coeffecient value is 0.797737465356513 \n",
            "\n",
            "Dice coeffecient value is 0.7979465860418241 \n",
            "\n",
            "Dice coeffecient value is 0.7994583018392543 \n",
            "\n",
            "Dice coeffecient value is 0.8000428319475938 \n",
            "\n",
            "Dice coeffecient value is 0.7991030486268581 \n",
            "\n",
            "Dice coeffecient value is 0.8004837490551776 \n",
            "\n",
            "Dice coeffecient value is 0.8007457797933989 \n",
            "\n",
            "Dice coeffecient value is 0.7995943562610229 \n",
            "\n",
            "Dice coeffecient value is 0.7985235575711767 \n",
            "\n",
            "Dice coeffecient value is 0.798944318468128 \n",
            "\n",
            "Dice coeffecient value is 0.8014285714285714 \n",
            "\n",
            "Dice coeffecient value is 0.8050491307634164 \n",
            "\n",
            "Dice coeffecient value is 0.807936507936508 \n",
            "\n",
            "Dice coeffecient value is 0.8089594356261023 \n",
            "\n",
            "Dice coeffecient value is 0.8103376165280927 \n",
            "\n",
            "Dice coeffecient value is 0.8138145628621819 \n",
            "\n",
            "Dice coeffecient value is 0.8163391282438901 \n",
            "\n",
            "Dice coeffecient value is 0.8197203325774755 \n",
            "\n",
            "Dice coeffecient value is 0.8244671201814059 \n",
            "\n",
            "Dice coeffecient value is 0.8308465608465608 \n",
            "\n",
            "Dice coeffecient value is 0.8372486772486772 \n",
            "\n",
            "Dice coeffecient value is 0.8444595616024188 \n",
            "\n",
            "Dice coeffecient value is 0.8525598387503149 \n",
            "\n",
            "Dice coeffecient value is 0.8607936507936508 \n",
            "\n",
            "Dice coeffecient value is 0.870652557319224 \n",
            "\n",
            "Dice coeffecient value is 0.8785285966238348 \n",
            "\n",
            "Dice coeffecient value is 0.8861148904006046 \n",
            "\n",
            "Dice coeffecient value is 0.8937087427563618 \n",
            "\n",
            "Dice coeffecient value is 0.9030410682791635 \n",
            "\n",
            "Dice coeffecient value is 0.9138624338624338 \n",
            "\n",
            "Dice coeffecient value is 0.9234920634920635 \n",
            "\n",
            "Dice coeffecient value is 0.9329805996472663 \n",
            "\n",
            "Dice coeffecient value is 0.9428042328042328 \n",
            "\n",
            "Dice coeffecient value is 0.9529327286470144 \n",
            "\n",
            "Dice coeffecient value is 0.9627261274880322 \n",
            "\n",
            "Dice coeffecient value is 0.9740161249685059 \n",
            "\n",
            "Dice coeffecient value is 0.985175107079869 \n",
            "\n",
            "Dice coeffecient value is 0.9973418997228521 \n",
            "\n",
            "Dice coeffecient value is 0.9978256487780297 \n",
            "\n",
            "Dice coeffecient value is 0.998087679516251 \n",
            "\n",
            "Dice coeffecient value is 0.9984580498866213 \n",
            "\n",
            "Dice coeffecient value is 0.9990123456790123 \n",
            "\n",
            "Dice coeffecient value is 0.9983245149911817 \n",
            "\n",
            "Dice coeffecient value is 0.9891660367850844 \n",
            "\n",
            "Dice coeffecient value is 0.9893726379440665 \n",
            "\n",
            "Dice coeffecient value is 0.9925447215923406 \n",
            "\n",
            "Dice coeffecient value is 0.9969312169312169 \n",
            "\n",
            "Dice coeffecient value is 0.9943386243386243 \n",
            "\n",
            "Dice coeffecient value is 0.9931317712270094 \n",
            "\n",
            "Dice coeffecient value is 0.9928420256991686 \n",
            "\n",
            "Dice coeffecient value is 0.9921945074326026 \n",
            "\n",
            "Dice coeffecient value is 0.9928369866465104 \n",
            "\n",
            "Dice coeffecient value is 0.993567649281935 \n",
            "\n",
            "Dice coeffecient value is 0.9942655580750819 \n",
            "\n",
            "Dice coeffecient value is 0.9878281683043588 \n",
            "\n",
            "Dice coeffecient value is 0.9726581002771479 \n",
            "\n",
            "Dice coeffecient value is 0.9535273368606701 \n",
            "\n",
            "Dice coeffecient value is 0.9369387755102041 \n",
            "\n",
            "Dice coeffecient value is 0.9085462333081381 \n",
            "\n",
            "Dice coeffecient value is 0.8789871504157218 \n",
            "\n",
            "Dice coeffecient value is 0.8487805492567397 \n",
            "\n",
            "Dice coeffecient value is 0.8426177878558831 \n",
            "\n",
            "Dice coeffecient value is 0.8363945578231292 \n",
            "\n",
            "Dice coeffecient value is 0.8307684555303603 \n",
            "\n",
            "Dice coeffecient value is 0.8347165532879819 \n",
            "\n",
            "Dice coeffecient value is 0.832363315696649 \n",
            "\n",
            "Dice coeffecient value is 0.8299244142101285 \n",
            "\n",
            "Dice coeffecient value is 0.8352355757117662 \n",
            "\n",
            "Dice coeffecient value is 0.841108591584782 \n",
            "\n",
            "Dice coeffecient value is 0.8440992693373646 \n",
            "\n",
            "Dice coeffecient value is 0.8565129755605946 \n",
            "\n",
            "Dice coeffecient value is 0.8625069286974049 \n",
            "\n",
            "Dice coeffecient value is 0.872615268329554 \n",
            "\n",
            "Dice coeffecient value is 0.8849911816578483 \n",
            "\n",
            "Dice coeffecient value is 0.899392794154699 \n",
            "\n",
            "Dice coeffecient value is 0.9135953640715545 \n",
            "\n",
            "Dice coeffecient value is 0.9306424792139077 \n",
            "\n",
            "Dice coeffecient value is 0.9461652809271857 \n",
            "\n",
            "Dice coeffecient value is 0.9599924414210128 \n",
            "\n",
            "Dice coeffecient value is 0.9742605190224238 \n",
            "\n",
            "Dice coeffecient value is 0.985429579239103 \n",
            "\n",
            "Dice coeffecient value is 0.9937037037037038 \n",
            "\n",
            "Dice coeffecient value is 0.9977072310405644 \n",
            "\n",
            "Dice coeffecient value is 0.9984958427815571 \n",
            "\n",
            "Dice coeffecient value is 0.9986016628873772 \n",
            "\n",
            "Dice coeffecient value is 0.9976492819349962 \n",
            "\n",
            "Dice coeffecient value is 0.9970319979843789 \n",
            "\n",
            "Dice coeffecient value is 0.9922171831695641 \n",
            "\n",
            "Dice coeffecient value is 0.9833534895439657 \n",
            "\n",
            "Dice coeffecient value is 0.9702443940539178 \n",
            "\n",
            "Dice coeffecient value is 0.9567724867724867 \n",
            "\n",
            "Dice coeffecient value is 0.9384026203073822 \n",
            "\n",
            "Dice coeffecient value is 0.9205870496346686 \n",
            "\n",
            "Dice coeffecient value is 0.9002368354749307 \n",
            "\n",
            "Dice coeffecient value is 0.8838473167044596 \n",
            "\n",
            "Dice coeffecient value is 0.8602922650541698 \n",
            "\n",
            "Dice coeffecient value is 0.8327991937515747 \n",
            "\n",
            "Dice coeffecient value is 0.7998160745779793 \n",
            "\n",
            "Dice coeffecient value is 0.7868253968253969 \n",
            "\n",
            "Dice coeffecient value is 0.7760267069790879 \n",
            "\n",
            "Dice coeffecient value is 0.7854875283446712 \n",
            "\n",
            "Dice coeffecient value is 0.7904862685815067 \n",
            "\n",
            "Dice coeffecient value is 0.7933434114386495 \n",
            "\n",
            "Dice coeffecient value is 0.7967447719828672 \n",
            "\n",
            "Dice coeffecient value is 0.796031746031746 \n",
            "\n",
            "Dice coeffecient value is 0.7937414965986395 \n",
            "\n",
            "Dice coeffecient value is 0.7929050138573948 \n",
            "\n",
            "Dice coeffecient value is 0.7924187452758882 \n",
            "\n",
            "Dice coeffecient value is 0.7954547745023935 \n",
            "\n",
            "Dice coeffecient value is 0.7990073066263542 \n",
            "\n",
            "Dice coeffecient value is 0.802564877802973 \n",
            "\n",
            "Dice coeffecient value is 0.8053162005542958 \n",
            "\n",
            "Dice coeffecient value is 0.8106122448979591 \n",
            "\n",
            "Dice coeffecient value is 0.8157369614512472 \n",
            "\n",
            "Dice coeffecient value is 0.8243663391282439 \n",
            "\n",
            "Dice coeffecient value is 0.8313731418493323 \n",
            "\n",
            "Dice coeffecient value is 0.8379264298311917 \n",
            "\n",
            "Dice coeffecient value is 0.8553741496598639 \n",
            "\n",
            "Dice coeffecient value is 0.8761148904006046 \n",
            "\n",
            "Dice coeffecient value is 0.9032300327538423 \n",
            "\n",
            "Dice coeffecient value is 0.9268531116150164 \n",
            "\n",
            "Dice coeffecient value is 0.9470597127739985 \n",
            "\n",
            "Dice coeffecient value is 0.9653010833963215 \n",
            "\n",
            "Dice coeffecient value is 0.9824817334341144 \n",
            "\n",
            "Dice coeffecient value is 0.9941143864953389 \n",
            "\n",
            "Dice coeffecient value is 0.9979994960947342 \n",
            "\n",
            "Dice coeffecient value is 0.9982136558327035 \n",
            "\n",
            "Dice coeffecient value is 0.9117636684303351 \n",
            "\n",
            "Dice coeffecient value is 0.8906752330561855 \n",
            "\n",
            "Dice coeffecient value is 0.8654824892920131 \n",
            "\n",
            "Dice coeffecient value is 0.8500151171579743 \n",
            "\n",
            "Dice coeffecient value is 0.8383144368858655 \n",
            "\n",
            "Dice coeffecient value is 0.8273066263542455 \n",
            "\n",
            "Dice coeffecient value is 0.8147518266565885 \n",
            "\n",
            "Dice coeffecient value is 0.8171428571428572 \n",
            "\n",
            "Dice coeffecient value is 0.8203628117913833 \n",
            "\n",
            "Dice coeffecient value is 0.8236911060720584 \n",
            "\n",
            "Dice coeffecient value is 0.827888636936256 \n",
            "\n",
            "Dice coeffecient value is 0.8299697656840515 \n",
            "\n",
            "Dice coeffecient value is 0.8311992945326279 \n",
            "\n",
            "Dice coeffecient value is 0.8331519274376418 \n",
            "\n",
            "Dice coeffecient value is 0.8350491307634165 \n",
            "\n",
            "Dice coeffecient value is 0.8386293776769967 \n",
            "\n",
            "Dice coeffecient value is 0.8404509952129 \n",
            "\n",
            "Dice coeffecient value is 0.8409901738473167 \n",
            "\n",
            "Dice coeffecient value is 0.8423381204333585 \n",
            "\n",
            "Dice coeffecient value is 0.8428395061728395 \n",
            "\n",
            "Dice coeffecient value is 0.8429957168052407 \n",
            "\n",
            "Dice coeffecient value is 0.8433182161753591 \n",
            "\n",
            "Dice coeffecient value is 0.844925673973293 \n",
            "\n",
            "Dice coeffecient value is 0.8471529352481734 \n",
            "\n",
            "Dice coeffecient value is 0.8484202569916856 \n",
            "\n",
            "Dice coeffecient value is 0.8509019904258 \n",
            "\n",
            "Dice coeffecient value is 0.8545074326026707 \n",
            "\n",
            "Dice coeffecient value is 0.8575762156714538 \n",
            "\n",
            "Dice coeffecient value is 0.860702947845805 \n",
            "\n",
            "Dice coeffecient value is 0.8643512219702696 \n",
            "\n",
            "Dice coeffecient value is 0.8674577979339884 \n",
            "\n",
            "Dice coeffecient value is 0.8705744520030234 \n",
            "\n",
            "Dice coeffecient value is 0.8741219450743261 \n",
            "\n",
            "Dice coeffecient value is 0.877843285462333 \n",
            "\n",
            "Dice coeffecient value is 0.8823507180650038 \n",
            "\n",
            "Dice coeffecient value is 0.8878105316200554 \n",
            "\n",
            "Dice coeffecient value is 0.8915822625346435 \n",
            "\n",
            "Dice coeffecient value is 0.8986344167296548 \n",
            "\n",
            "Dice coeffecient value is 0.9065482489292013 \n",
            "\n",
            "Dice coeffecient value is 0.9140262030738221 \n",
            "\n",
            "Dice coeffecient value is 0.9207457797933989 \n",
            "\n",
            "Dice coeffecient value is 0.9278835978835979 \n",
            "\n",
            "Dice coeffecient value is 0.9360922146636432 \n",
            "\n",
            "Dice coeffecient value is 0.9449710254472159 \n",
            "\n",
            "Dice coeffecient value is 0.9540463592844545 \n",
            "\n",
            "Dice coeffecient value is 0.9991534391534391 \n",
            "\n",
            "Dice coeffecient value is 0.9993751574703955 \n",
            "\n",
            "Dice coeffecient value is 0.9994053917863441 \n",
            "\n",
            "Dice coeffecient value is 0.9994104308390023 \n",
            "\n",
            "Dice coeffecient value is 0.999344923154447 \n",
            "\n",
            "Dice coeffecient value is 0.9991358024691358 \n",
            "\n",
            "Dice coeffecient value is 0.9992038296800202 \n",
            "\n",
            "Dice coeffecient value is 0.9993398841017889 \n",
            "\n",
            "Dice coeffecient value is 0.9992542202066012 \n",
            "\n",
            "Dice coeffecient value is 0.998193499622071 \n",
            "\n",
            "Dice coeffecient value is 0.9974149659863946 \n",
            "\n",
            "Dice coeffecient value is 0.9963567649281935 \n",
            "\n",
            "Dice coeffecient value is 0.9946989166036785 \n",
            "\n",
            "Dice coeffecient value is 0.9929327286470143 \n",
            "\n",
            "Dice coeffecient value is 0.9905442176870748 \n",
            "\n",
            "Dice coeffecient value is 0.9882237339380197 \n",
            "\n",
            "Dice coeffecient value is 0.9852380952380952 \n",
            "\n",
            "Dice coeffecient value is 0.9820937263794407 \n",
            "\n",
            "Dice coeffecient value is 0.9788284202569917 \n",
            "\n",
            "Dice coeffecient value is 0.9735374149659864 \n",
            "\n",
            "Dice coeffecient value is 0.9665583270345175 \n",
            "\n",
            "Dice coeffecient value is 0.9584782060972538 \n",
            "\n",
            "Dice coeffecient value is 0.9502569916855631 \n",
            "\n",
            "Dice coeffecient value is 0.9416250944822373 \n",
            "\n",
            "Dice coeffecient value is 0.9315217939027463 \n",
            "\n",
            "Dice coeffecient value is 0.9201234567901234 \n",
            "\n",
            "Dice coeffecient value is 0.9078735197782817 \n",
            "\n",
            "Dice coeffecient value is 0.8882186948853615 \n",
            "\n",
            "Dice coeffecient value is 0.8721541950113378 \n",
            "\n",
            "Dice coeffecient value is 0.8692239858906525 \n",
            "\n",
            "Dice coeffecient value is 0.8708465608465609 \n",
            "\n",
            "Dice coeffecient value is 0.8727714789619552 \n",
            "\n",
            "Dice coeffecient value is 0.8736583522297808 \n",
            "\n",
            "Dice coeffecient value is 0.8748551272360796 \n",
            "\n",
            "Dice coeffecient value is 0.8752708490803729 \n",
            "\n",
            "Dice coeffecient value is 0.8776417233560091 \n",
            "\n",
            "Dice coeffecient value is 0.8805769715293524 \n",
            "\n",
            "Dice coeffecient value is 0.8816376921138825 \n",
            "\n",
            "Dice coeffecient value is 0.8812446460065507 \n",
            "\n",
            "Dice coeffecient value is 0.8818720080624842 \n",
            "\n",
            "Dice coeffecient value is 0.8820055429579239 \n",
            "\n",
            "Dice coeffecient value is 0.8812118921642731 \n",
            "\n",
            "Dice coeffecient value is 0.8797556059460822 \n",
            "\n",
            "Dice coeffecient value is 0.8774779541446208 \n",
            "\n",
            "Dice coeffecient value is 0.8760090702947846 \n",
            "\n",
            "Dice coeffecient value is 0.8743134290753338 \n",
            "\n",
            "Dice coeffecient value is 0.8716024187452759 \n",
            "\n",
            "Dice coeffecient value is 0.8694028722600151 \n",
            "\n",
            "Dice coeffecient value is 0.8671378180901991 \n",
            "\n",
            "Dice coeffecient value is 0.8673973293020912 \n",
            "\n",
            "Dice coeffecient value is 0.8662585034013606 \n",
            "\n",
            "Dice coeffecient value is 0.8656412194507432 \n",
            "\n",
            "Dice coeffecient value is 0.864671201814059 \n",
            "\n",
            "Dice coeffecient value is 0.8661929957168052 \n",
            "\n",
            "Dice coeffecient value is 0.8661274880322499 \n",
            "\n",
            "Dice coeffecient value is 0.8646611237087427 \n",
            "\n",
            "Dice coeffecient value is 0.865026455026455 \n",
            "\n",
            "Dice coeffecient value is 0.868442932728647 \n",
            "\n",
            "Dice coeffecient value is 0.8721768707482993 \n",
            "\n",
            "Dice coeffecient value is 0.8750289745527841 \n",
            "\n",
            "Dice coeffecient value is 0.8765356512975561 \n",
            "\n",
            "Dice coeffecient value is 0.8761602418745276 \n",
            "\n",
            "Dice coeffecient value is 0.8787200806248425 \n",
            "\n",
            "Dice coeffecient value is 0.8802191987906274 \n",
            "\n",
            "Dice coeffecient value is 0.8820534139581758 \n",
            "\n",
            "Dice coeffecient value is 0.8838725119677501 \n",
            "\n",
            "Dice coeffecient value is 0.8876694381456286 \n",
            "\n",
            "Dice coeffecient value is 0.8908893927941547 \n",
            "\n",
            "Dice coeffecient value is 0.8950037792894936 \n",
            "\n",
            "Dice coeffecient value is 0.8994053917863442 \n",
            "\n",
            "Dice coeffecient value is 0.9037314184933233 \n",
            "\n",
            "Dice coeffecient value is 0.9085764676240867 \n",
            "\n",
            "Dice coeffecient value is 0.9142252456538171 \n",
            "\n",
            "Dice coeffecient value is 0.9203804484756866 \n",
            "\n",
            "Dice coeffecient value is 0.9274452003023431 \n",
            "\n",
            "Dice coeffecient value is 0.9347543461829176 \n",
            "\n",
            "Dice coeffecient value is 0.9420332577475434 \n",
            "\n",
            "Dice coeffecient value is 0.9487251196775006 \n",
            "\n",
            "Dice coeffecient value is 0.9558856135046612 \n",
            "\n",
            "Dice coeffecient value is 0.9627941546989166 \n",
            "\n",
            "Dice coeffecient value is 0.9699269337364576 \n",
            "\n",
            "Dice coeffecient value is 0.9774048878810784 \n",
            "\n",
            "Dice coeffecient value is 0.983917863441673 \n",
            "\n",
            "Dice coeffecient value is 0.9905114638447972 \n",
            "\n",
            "Dice coeffecient value is 0.996981607457798 \n",
            "\n",
            "Dice coeffecient value is 0.9984026203073822 \n",
            "\n",
            "Dice coeffecient value is 0.9984051398337113 \n",
            "\n",
            "Dice coeffecient value is 0.9985008818342151 \n",
            "\n",
            "Dice coeffecient value is 0.9984807256235828 \n",
            "\n",
            "Dice coeffecient value is 0.9983723859914336 \n",
            "\n",
            "Dice coeffecient value is 0.9984101788863694 \n",
            "\n",
            "Dice coeffecient value is 0.9983219954648526 \n",
            "\n",
            "Dice coeffecient value is 0.9966137566137566 \n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "dicee = np.array(dicee)\n",
        "\n",
        "len = len(dicee)\n",
        "print(\"Number of Values is\", len)\n",
        "\n",
        "# Taking average of dice values\n",
        "av=np.mean(dicee)\n",
        "print (\"average dice values is\", av)\n",
        "\n",
        "# Taking maximuim and minimuim of dice values\n",
        "mx=np.max(dicee)\n",
        "print (\"maximuim dice values is\", mx)\n",
        "\n",
        "mn=np.min(dicee)\n",
        "print (\"minimuim dice values is\", mn)"
      ],
      "metadata": {
        "id": "sxJk4DC5568k",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "87d11019-f8f0-43be-be04-13fe42ea0240"
      },
      "execution_count": 40,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Number of Values is 829\n",
            "average dice values is 0.8938017889548706\n",
            "maximuim dice values is 0.9998034769463341\n",
            "minimuim dice values is 0.7512496850592089\n"
          ]
        }
      ]
    }
  ]
}