diff --git a/README.md b/README.md index 04cd1fe..75a8874 100644 --- a/README.md +++ b/README.md @@ -25,59 +25,7 @@ pip install ./torch-interpol ## Usage -The most useful function is `grid_pull`, which samples an image at a given -set of coordinates according to some spline order. Here's a small example -that show how to reslice an image to a different image space: -```python -# we are going to rotate and resample a 32x32 pixels square -import torch, math -import matplotlib.pyplot as plt -from interpol import grid_pull, affine_grid - -# generate a "square" phantom image -x = torch.zeros([64, 64]) -x[16:48, 16:48] = 1 - -# build rotation matrix -rot = [[math.cos(math.pi/4), -math.sin(math.pi/4), 0], - [math.sin(math.pi/4), math.cos(math.pi/4), 0], - [0, 0, 1]] -center = [[1, 0, -32], - [0, 1, -32], - [0, 0, 1]] -rot = torch.as_tensor(rot, dtype=torch.float) -center = torch.as_tensor(center, dtype=torch.float) -full_affine = center.inverse() @ rot @ center - -# build dense field of sampling coordinates -grid = affine_grid(full_affine, [64, 64]) - -# resample -y1 = grid_pull(x, grid, bound='mirror', interpolation=1) -y3 = grid_pull(x, grid, bound='mirror', interpolation=3, prefilter=True) -y5 = grid_pull(x, grid, bound='mirror', interpolation=5, prefilter=True) - -# plot -plt.subplot(1, 4, 1) -plt.imshow(x, vmin=0, vmax=1) -plt.axis('off') -plt.title('original') -plt.subplot(1, 4, 2) -plt.imshow(y1, vmin=0, vmax=1) -plt.axis('off') -plt.title('1st order') -plt.subplot(1, 4, 3) -plt.imshow(y3, vmin=0, vmax=1) -plt.axis('off') -plt.title('3rd order') -plt.subplot(1, 4, 4) -plt.imshow(y5, vmin=0, vmax=1) -plt.axis('off') -plt.title('5th order') -plt.show() -``` - -**See also our [example notebooks](examples/)** +**See our [example notebooks](examples/)** ## Quick doc diff --git a/examples/resize.ipynb b/examples/resize.ipynb new file mode 100644 index 0000000..1e5ec82 --- /dev/null +++ b/examples/resize.ipynb @@ -0,0 +1,146 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "outputs": [], + "source": [ + "import torch\n", + "import interpol\n", + "import matplotlib.pyplot as plt" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 2, + "outputs": [ + { + "data": { + "text/plain": "
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\n" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Generate a random low-resolution image\n", + "cshape = [4, 4]\n", + "x = torch.rand(cshape)\n", + "\n", + "plt.imshow(x)\n", + "plt.colorbar()\n", + "plt.axis('off')\n", + "plt.show()" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 3, + "outputs": [], + "source": [ + "# Upsample using different spline orders\n", + "# resample\n", + "shape = [128, 128]\n", + "opt = dict(shape=shape, anchor='edge', bound='replicate')\n", + "y0 = interpol.resize(x, **opt, interpolation=0)\n", + "y1 = interpol.resize(x, **opt, interpolation=1)\n", + "y2 = interpol.resize(x, **opt, interpolation=2)\n", + "y3 = interpol.resize(x, **opt, interpolation=3)\n", + "y5 = interpol.resize(x, **opt, interpolation=5)" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 4, + "outputs": [ + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.subplot(3, 2, 1)\n", + "plt.imshow(x)\n", + "plt.colorbar()\n", + "plt.axis('off')\n", + "plt.title('original')\n", + "plt.subplot(3, 2, 2)\n", + "plt.imshow(y0)\n", + "plt.colorbar()\n", + "plt.axis('off')\n", + "plt.title('0th order')\n", + "plt.subplot(3, 2, 3)\n", + "plt.imshow(y1)\n", + "plt.colorbar()\n", + "plt.axis('off')\n", + "plt.title('1st order')\n", + "plt.subplot(3, 2, 4)\n", + "plt.imshow(y2)\n", + "plt.colorbar()\n", + "plt.axis('off')\n", + "plt.title('2nd order')\n", + "plt.subplot(3, 2, 5)\n", + "plt.imshow(y3)\n", + "plt.colorbar()\n", + "plt.axis('off')\n", + "plt.title('3rd order')\n", + "plt.subplot(3, 2, 6)\n", + "plt.imshow(y5)\n", + "plt.colorbar()\n", + "plt.axis('off')\n", + "plt.title('5th order')\n", + "plt.show()" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git a/examples/rotation.ipynb b/examples/rotation.ipynb new file mode 100644 index 0000000..6e5517a --- /dev/null +++ b/examples/rotation.ipynb @@ -0,0 +1,115 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true, + "pycharm": { + "name": "#%%\n" + } + }, + "outputs": [], + "source": [ + "import torch, math\n", + "import matplotlib.pyplot as plt\n", + "from interpol import grid_pull, affine_grid" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "outputs": [], + "source": [ + "# generate a \"square\" phantom image\n", + "x = torch.zeros([64, 64])\n", + "x[16:48, 16:48] = 1\n", + "\n", + "# build rotation matrix\n", + "rot = [[math.cos(math.pi/4), -math.sin(math.pi/4), 0],\n", + " [math.sin(math.pi/4), math.cos(math.pi/4), 0],\n", + " [0, 0, 1]]\n", + "center = [[1, 0, -32],\n", + " [0, 1, -32],\n", + " [0, 0, 1]]\n", + "rot = torch.as_tensor(rot, dtype=torch.float)\n", + "center = torch.as_tensor(center, dtype=torch.float)\n", + "full_affine = center.inverse() @ rot @ center\n", + "\n", + "# build dense field of sampling coordinates\n", + "grid = affine_grid(full_affine, [64, 64])\n", + "\n", + "# resample\n", + "y1 = grid_pull(x, grid, bound='mirror', interpolation=1)\n", + "y3 = grid_pull(x, grid, bound='mirror', interpolation=3, prefilter=True)\n", + "y5 = grid_pull(x, grid, bound='mirror', interpolation=5, prefilter=True)" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 3, + "outputs": [ + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.subplot(2, 2, 1)\n", + "plt.imshow(x, vmin=0, vmax=1)\n", + "plt.axis('off')\n", + "plt.title('original')\n", + "plt.subplot(2, 2, 2)\n", + "plt.imshow(y1, vmin=0, vmax=1)\n", + "plt.axis('off')\n", + "plt.title('1st order')\n", + "plt.subplot(2, 2, 3)\n", + "plt.imshow(y3, vmin=0, vmax=1)\n", + "plt.axis('off')\n", + "plt.title('3rd order')\n", + "plt.subplot(2, 2, 4)\n", + "plt.imshow(y5, vmin=0, vmax=1)\n", + "plt.axis('off')\n", + "plt.title('5th order')\n", + "plt.show()" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file