{ "metadata": { "name": "", "signature": "sha256:b4c50f99d6d069d9cb816b45f7675506b98a1a1c4ffdc68d099ebfc4d617d8f1" }, "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": [ "## Applying a deformation field" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We should have already calculated the deformation field for the image `ds107_sub012_highres.nii`.\n", "\n", "We did this using the SPM12 `Normalise: Estimate` option from the GUI.\n", "\n", "This should have left an image called `y_ds107_sub012_highres.nii` in the directory containing this notebook.\n", "\n", "If not:\n", "\n", "1) Ask for help;\n", "2) If you get stuck, you can download the image from https://nipy.bic.berkeley.edu/pna/results/y_ds107_sub012_highres.nii" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We make an image object for this deformations image by loading with nibabel." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - Load y_ds107_sub012_highres.nii with nibabel\n", "# Get the image array data\n", "import nibabel as nib\n", "deformations_img = nib.load('y_ds107_sub012_highres.nii')\n", "deformations_data = deformations_img.get_data()\n", "deformations_data.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "(121, 145, 121, 1, 3)" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are going to work out how to apply this *deformations* image to reslice our original image `ds107_sub012_highres.nii`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oddly - this is a 5 dimensional image, where the 4th dimension is length 1.\n", "\n", "The length-1 4th dimension is an artefact of the NIfTI image format - so let's get rid of this dimension with `np.squeeze`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - Remove length-1 4th dimension from deformation data\n", "deformations_data = np.squeeze(deformations_data)\n", "deformations_data.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "(121, 145, 121, 3)" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data is now a 4-dimensional image, containing 3 volumes. These volumes are:\n", "\n", "* x coordinates;\n", "* y coordinates;\n", "* z coordinates\n", "\n", "respectively." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Put another way, the vector `deformations_data[i, j, k, :]` gives the (x, y, z) coordinates for the voxel `[i, j, k]`. More on this later." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you were looking carefully on the SPM interface, SPM has calculated the distortions necessary to go from a template of *tissue probability maps* (called `TPM.nii`) to the `ds107_sub012_highres.nii` image." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can get the original 3D shape and affine of `TPM.nii` because SPM stored them in `y_ds107_sub012_highres.nii`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - get original TPM.nii 3D shape and affine\n", "tpm_shape = deformations_data.shape[:3]\n", "tpm_affine = deformations_img.affine\n", "tpm_affine" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "array([[ -1.5, 0. , 0. , 90. ],\n", " [ 0. , 1.5, 0. , -126. ],\n", " [ 0. , 0. , 1.5, -72. ],\n", " [ 0. , 0. , 0. , 1. ]])" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we look at the images before the normalization has been applied.\n", "\n", "To do that, we will make a new copy of the MNI template, with the same shape as the TPM image.\n", "\n", "The MNI template image we will use is `mni_icbm152_t1_tal_nlin_asym_09a.nii`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - load the template image we will resample from\n", "template_img = nib.load('mni_icbm152_t1_tal_nlin_asym_09a.nii')\n", "template_data = template_img.get_data()\n", "template_data.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "(197, 233, 189)" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To do this, we need the mapping from voxels in `TPM.nii` to voxels in `mni_icbm152_t1_tal_nlin_asym_09a.nii`.\n", "\n", "We can break this down into two transforms:\n", "\n", "* from voxels in `TPM.nii` to mm;\n", "* from mm to voxels in `mni_icbm152_t1_tal_nlin_asym_09a.nii`.\n", "\n", "We have these already. So the full transform is:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - voxels in TPM.nii to voxels in mni_icbm152_t1_tal_nlin_asym_09a.nii\n", "# Matrix multiplication is right to left\n", "vox2vox = npl.inv(template_img.affine).dot(tpm_affine)\n", "vox2vox" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "array([[ -1.5, 0. , 0. , 188. ],\n", " [ 0. , 1.5, 0. , 8. ],\n", " [ 0. , 0. , 1.5, 0. ],\n", " [ 0. , 0. , 0. , 1. ]])" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We break this down into 3x3 `mat` and length 3 `vec` components:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - to mat and vec\n", "mat, vec = nib.affines.to_matvec(vox2vox)\n", "mat, vec" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "(array([[-1.5, 0. , 0. ],\n", " [ 0. , 1.5, 0. ],\n", " [ 0. , 0. , 1.5]]), array([ 188., 8., 0.]))" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we resample from the MNI template, into the voxel grid of the `TPM.nii`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - resample MNI template onto TPM grid\n", "from scipy.ndimage import affine_transform\n", "template_into_tpm = affine_transform(template_data, mat, vec, output_shape=tpm_shape)\n", "template_into_tpm.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "(121, 145, 121)" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the new version of the template image:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - plot the template image resampled onto the TPM grid\n", "plt.imshow(template_into_tpm[:, :, 60])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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WzIv7EsfJ96UdWJRX9Y6g/yipWQL6GjO7+rTEqxV1sYTSMc68mNqOjo62mFeJ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\n5tP95uy+3c/tLMEtVjMzM1myuy4FHQu6sIMHD2ZmAPPxNMBI3K6Uvh4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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, what do with with the SPM distortion field in `deformations_data`?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By checking in the SPM source code, it is possible work out that `deformations_data` contains, for every voxel in TPM, the corresponding mm coordinate in the mm space of the subject image.\n", "\n", "That is, `deformations_data[i, j, k]` is a length 3 vector `[x, y, z]` where `[x, y, z]` are the mm coordinates of voxel `[i, j, k]` when mapped into millimeters for the subject image.\n", "\n", "Here is the subject data, and the image, which contains the affine:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - load the subject data that we will resample from\n", "subject_img = nib.load('ds107_sub012_highres.nii')\n", "subject_data = subject_img.get_data()\n", "subject_data.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "(256, 208, 192)" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this information, and with the `scipy.ndimage.map_coordinates` function, you should be able to:\n", "\n", "* get the mapping from voxels in TPM to voxels in the subject image and\n", "* resample the subject image into the grid of the TPM image using this mapping.\n", "\n", "Hint: remember that `map_coordinates` expects the 3-length coordinate dimension to be first, but `deformations_data` - at the moment - has the 3-length coordinate dimension last." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# * get the mapping from voxels in TPM to voxels in the subject image and\n", "# * resample the subject image into the grid of the TPM image using this mapping.\n", "from scipy.ndimage import map_coordinates\n", "vox2vox_mapping = nib.affines.apply_affine(npl.inv(subject_img.affine), deformations_data)\n", "for_map_coords = vox2vox_mapping.transpose(3, 0, 1, 2)\n", "subject_into_tpm = map_coordinates(subject_data, for_map_coords)\n", "subject_into_tpm.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "(121, 145, 121)" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Show an example slice from the template resampled into TPM and the subject resampled into TPM" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - show an example slice from the resampled template and resampled subject\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 5))\n", "axes[0].imshow(template_into_tpm[:, :, 60])\n", "axes[1].imshow(subject_into_tpm[:, :, 60])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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wlIq6KUZ/4NdDjKxTZSux1Io6+d/0/KLSMt1QJKhsayMFoAHgf87z/P4sy0YA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\nX1NL204rlJ/Ly8v2HGJuPLoivYuiXq8H9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