Add new file

3D plot tried.ipynb

+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import csv\n",
+    "import os\n",
+    "import sys\n",
+    "import numpy as np\n",
+    "import SimpleITK as sitk\n",
+    "from scipy.ndimage import zoom"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def readMhd(filename):\n",
+    "    print(filename)\n",
+    "    # read mhd/raw image\n",
+    "    itkimage = sitk.ReadImage(filename)\n",
+    "    scan = sitk.GetArrayFromImage(itkimage) #3D image\n",
+    "    spacing = itkimage.GetSpacing() #voxelsize\n",
+    "    origin = itkimage.GetOrigin() #world coordinates of origin\n",
+    "    transfmat = itkimage.GetDirection() #3D rotation matrix\n",
+    "    return scan,spacing,origin,transfmat"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "D:\\Lung cancer LNDb project\\dataset\\data\\LNDb-0001.mhd\n",
+      "D:\\Lung cancer LNDb project\\dataset\\masks\\LNDb-0001_rad1.mhd\n"
+     ]
+    }
+   ],
+   "source": [
+    "[scan,spacing,origin,transfmat] =  readMhd('D:\\Lung cancer LNDb project\\dataset\\data\\LNDb-0001.mhd')\n",
+    "[mask,spacing,origin,transfmat] =  readMhd('D:\\Lung cancer LNDb project\\dataset\\masks\\LNDb-0001_rad1.mhd')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def getImgWorldTransfMats(spacing,transfmat):\n",
+    "    # calc image to world to image transformation matrixes\n",
+    "    transfmat = np.array([transfmat[0:3],transfmat[3:6],transfmat[6:9]])\n",
+    "    for d in range(3):\n",
+    "        transfmat[0:3,d] = transfmat[0:3,d]*spacing[d]\n",
+    "    transfmat_toworld = transfmat #image to world coordinates conversion matrix\n",
+    "    transfmat_toimg = np.linalg.inv(transfmat) #world to image coordinates conversion matrix\n",
+    "    \n",
+    "    return transfmat_toimg,transfmat_toworld"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def convertToImgCoord(xyz,origin,transfmat_toimg):\n",
+    "    # convert world to image coordinates\n",
+    "    xyz = xyz - origin\n",
+    "    xyz = np.round(np.matmul(transfmat_toimg,xyz))    \n",
+    "    return xyz"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "transfmat_toimg,transfmat_toworld = getImgWorldTransfMats(spacing,transfmat)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([187., 313., 260.])"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "ctr = np.array([-44.60839844,-119.0732422,-37.5])\n",
+    "ctr = convertToImgCoord(ctr,origin,transfmat_toimg)\n",
+    "ctr"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "np.max(mask[0][0])==0"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
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178, 179, 180, 175, 176, 177, 178, 179, 175, 176, 177, 178, 179, 175, 176, 177, 178, 179, 175, 176, 177, 178, 179, 176, 177, 178]\n"
+     ]
+    }
+   ],
+   "source": [
+    "mx = []\n",
+    "my = []\n",
+    "mz = []\n",
+    "for x in range(328):\n",
+    "    if(np.max(mask[x])==0):\n",
+    "        continue\n",
+    "    for y in range(512):\n",
+    "        if(np.max(mask[x][y])==0):\n",
+    "            continue\n",
+    "        for z in range(512):\n",
+    "            if(mask[x][y][z]!=0):\n",
+    "                mx.append(x)\n",
+    "                my.append(y)\n",
+    "                mz.append(z)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "249 263 294 325 172 312\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(min(mx),max(mx),min(my),max(my),min(mz),max(mz))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 40,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "sagital_image = scan[256, :, :] # Axis 0\n",
+    "mask_sagital_image = mask[256,:,:]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 41,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "axial_image = scan[:, :, 242] # Axis 2\n",
+    "mask_axial_image = mask[:,:,242]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 42,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "coronal_image = scan[:, 310, :] # Axis 1\n",
+    "mask_coronal_image = mask[:,310,:]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 43,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from matplotlib import pyplot as plt"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 44,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 6 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig, axs = plt.subplots(3,2)\n",
+    "axs[0][0].imshow(sagital_image)\n",
+    "axs[0][1].imshow(mask_sagital_image)\n",
+    "axs[1][0].imshow(axial_image)\n",
+    "axs[1][1].imshow(mask_axial_image)\n",
+    "axs[2][0].imshow(coronal_image)\n",
+    "axs[2][1].imshow(mask_coronal_image)\n",
+    "plt.savefig()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "scan1 = 255*((scan - np.min(scan))/(np.max(scan)-np.min(scan)))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "sagital_image1 = scan1[0, :, :] # Axis 0"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "ename": "NameError",
+     "evalue": "name 'sagital_image' is not defined",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
+      "\u001b[1;32m<ipython-input-22-4e149890e5bd>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[0mfig\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0maxs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0maxs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msagital_image\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      3\u001b[0m \u001b[0maxs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msagital_image1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
+      "\u001b[1;31mNameError\u001b[0m: name 'sagital_image' is not defined"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig, axs = plt.subplots(1,2)\n",
+    "axs[0].imshow(sagital_image)\n",
+    "axs[1].imshow(sagital_image1)\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "x = []\n",
+    "y = []\n",
+    "z = []\n",
+    "color = []\n",
+    "for i in range(249,264):\n",
+    "    for j in range(294,326):\n",
+    "        for k in range(172,313):\n",
+    "            if(mask[i][j][k]>0):\n",
+    "                x.append(i)\n",
+    "                y.append(j)\n",
+    "                z.append(k)\n",
+    "                color.append(mask[i][j][k])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "1608"
+      ]
+     },
+     "execution_count": 33,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(x)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x18c82ab1c48>"
+      ]
+     },
+     "execution_count": 34,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "%matplotlib inline\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from mpl_toolkits import mplot3d\n",
+    "fig = plt.figure()\n",
+    "ax = plt.axes(projection='3d')\n",
+    "ax.scatter3D(x, y, z, c=color)"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.7.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}