{ "metadata": { "name": "", "signature": "sha256:9495583fa8bbf14ae8251d46a924233b2007e6b5f7583de6bb85dd470efa2061" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "# - compatibility with Python 3\n", "from __future__ import print_function # print('me') instead of print 'me'\n", "from __future__ import division # 1/2 == 0.5, not 0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# - show figures inside the notebook\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# - import common modules\n", "import numpy as np # the Python array package\n", "import matplotlib.pyplot as plt # the Python plotting package" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# - set gray colormap and nearest neighbor interpolation by default\n", "plt.rcParams['image.cmap'] = 'gray'\n", "plt.rcParams['image.interpolation'] = 'nearest'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# - import numpy.linalg with a shorter name\n", "import numpy.linalg as npl" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# - make numpy print out values in less verbose form\n", "np.set_printoptions(suppress=True, precision=4)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reslicing between spaces using affines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the current directory, we have a BOLD (4D image) and a structural image for the same subject:\n", "\n", "* BOLD image : `ds114_sub009_t2r1.nii`;\n", "* structural image : `ds114_sub009_highres.nii`.\n", "\n", "They have different orientations and voxel sizes.\n", "\n", "Confirm this by loading each image, and showing the:\n", "\n", "* image shape\n", "* image affine from the header" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Load structural and BOLD image\n", "# Print image data shape\n", "# Print affine from header\n", "import nibabel as nib\n", "bold_img = nib.load('ds114_sub009_t2r1.nii')\n", "print('BOLD')\n", "print(bold_img.shape)\n", "print(bold_img.affine)\n", "structural_img = nib.load('ds114_sub009_highres.nii')\n", "print('Structural')\n", "print(structural_img.shape)\n", "structural_img.affine" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "BOLD\n", "(64, 64, 30, 173)\n", "[[ -4. 0. 0. 124.244 ]\n", " [ 0. 3.9345 0.7207 -103.4497]\n", " [ 0. -0.7207 3.9346 -33.4929]\n", " [ 0. 0. 0. 1. ]]\n", "Structural\n", "(256, 156, 256)\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "array([[ 0.9989, -0.0605, 0.0109, -129.8257],\n", " [ 0.0427, 1.263 , 0.2336, -119.0906],\n", " [ -0.0215, -0.3028, 0.9723, -143.4178],\n", " [ 0. , 0. , 0. , 1. ]])" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We know this BOLD image now. It has a bad first volume. Load the BOLD data, drop the first volume, and make a new volume that is the mean of the rest of the BOLD volumes across time. Plot an example slice from the mean volume." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Load BOLD image data. Drop first volume. Make mean volume\n", "# Plot an example slice from the mean volume\n", "bold_data = bold_img.get_data()\n", "mean_vol = bold_data[..., 1:].mean(axis=-1)\n", "plt.imshow(mean_vol[:, :, 14])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load the structural data, plot an example slice:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Load structural data, plot example slice\n", "structural_data = structural_img.get_data()\n", "plt.imshow(structural_data[:, :, 127])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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OS7JC+IfNgZ1ORyw4AIGiRtGKdrstVSpgK+nwer2SxRMSYqbO7lbCU6PJI0us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\nkUwmhyZ1cxgygCECC3kD+lo0RqzDLSqnDn+AQYFEW1yeOyt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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we are going to reslice the anatomical to match the mean functional volume.\n", "\n", "Remember pull resampling? We are going to need the transform that maps a coordinate in the mean functional volume, to the corresponding coordinate in the structural volume. \n", "\n", "In order to do this, we need:\n", "\n", "* The affine mapping from mean functional voxel coordinates to mm space (`mean_vox2mm`);\n", "* The affine mapping from mm space to structural voxel coordinates (`mm2struct_vox`).\n", "\n", "We combine these by matrix multiplication (*from right to left!*) to give `mean_vox2struct_vox`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Get `mean_vox2mm` mapping\n", "# Get `mm2struct_vox` mapping\n", "# Calculate `mean_vox2struct_vox`\n", "mean_vox2mm = bold_img.affine\n", "mm2struct_vox = npl.inv(structural_img.affine)\n", "mean_vox2struct_vox = mm2struct_vox.dot(mean_vox2mm)\n", "mean_vox2struct_vox" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "array([[ -3.9954, 0.1836, -0.0536, 252.0885],\n", " [ 0.1432, 3.0686, -0.1663, -17.1005],\n", " [ -0.0436, 0.2185, 3.9938, 113.2972],\n", " [ 0. , 0. , 0. , 1. ]])" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Split this affine matrix up into its component 3x3 `M` matrix and the 3 element translation vector:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Split `mean_vox2struct_vox` into 3x3 transformation, 3 element translation\n", "M = mean_vox2struct_vox[:3, :3]\n", "T = mean_vox2struct_vox[:3, 3]\n", "M, T" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "(array([[-3.9954, 0.1836, -0.0536],\n", " [ 0.1432, 3.0686, -0.1663],\n", " [-0.0436, 0.2185, 3.9938]]),\n", " array([ 252.0885, -17.1005, 113.2972]))" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use `affine_transform` to make a new copy of the structural image, resampled into the voxel coordinates of the mean functional image:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Use affine_transform and the tranformation components to resample structural to functional\n", "from scipy.ndimage import affine_transform\n", "struct_in_mean_space = affine_transform(structural_data, M, T, mean_vol.shape, order=1)\n", "struct_in_mean_space.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "(64, 64, 30)" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use `subplots` to display and example slice from the mean image and the resliced structural side by side:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Display example slice from mean vol and resliced structural side by side\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 5))\n", "axes[0].imshow(struct_in_mean_space[:, :, 14])\n", "axes[1].imshow(mean_vol[:, :, 14])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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vxeBfS/tX+v41c//x9W0csrYE/tjeOuCrX/2qWlh22zZlS/G+ZVG2tOFLIT6n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\nsa+rZvv7dM0wffnLX65q75X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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's go in the opposite direction.\n", "\n", "We are going to resample the mean functional volume into the voxel space of the structural volume.\n", "\n", "We now need the affine transformation from voxel coordinates in the structural to voxel coordinates in the mean functional volume - call this `struct_vox2mean_vox`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Get affine transformation `struct_vox2mean_vox`\n", "struct_vox2mean_vox = npl.inv(mean_vox2struct_vox)\n", "struct_vox2mean_vox" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "array([[ -0.2497, 0.0151, -0.0027, 63.5174],\n", " [ 0.0115, 0.3242, 0.0137, 1.1053],\n", " [ -0.0034, -0.0176, 0.2496, -27.7359],\n", " [ 0. , 0. , 0. , 1. ]])" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use the contents of `struct_vox2mean_vox` to reslice the mean functional to the structural voxel space:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Reslice mean functional to structural voxel space\n", "M, T = nib.affines.to_matvec(struct_vox2mean_vox)\n", "mean_in_struct_space = affine_transform(mean_vol, M, T, structural_data.shape, order=1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display example slice for resliced mean functional side by side with structural" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Display example slices for resliced mean and structural\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 5))\n", "axes[0].imshow(mean_in_struct_space[:, :, 127])\n", "axes[1].imshow(structural_data[:, :, 127])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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wMpkMKpUKLl++bEIFvO6dTgeLi4solUpoNpt47733jOPzsY99DPfddx/K5TIy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\n4+PjLC0tcffuXWZmZqhUKnFFQhtbodev5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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can you think of situations where you would prefer to use one direction (e.g. functional to anatomy) over the other?" ] } ], "metadata": {} } ] }