{ "metadata": { "name": "", "signature": "sha256:05ac2ebfbf58a94842a2a06672a81e83dd521e7cbbfc6dec81e218668af6bca0" }, "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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L1WoVg8EAwWAQhUJBmIfHH39cMDlhxOLiIq5du4aFhQWkUimsrKwIBNqpcU/0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\nvi6bW9CzkSWgZydU0GXjOt2scTm9pS7p5jWSwtLQQd8XekZ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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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"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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N5HI55HK5DXNBNBpFq9UyRJzJZPCb3/wGjUYDS0tLHrLlGBi60MoIzW/Qc2MOgRItr73K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\nE5q00+rSpWHt/iXBdTgOfAvY3Ga7YW0Kf0KwktqWD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