{ "cells": [ { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import io3d\n", "import pandas as pd\n", "import skimage\n", "import skimage.draw\n", "import matplotlib.pyplot as plt\n", "import skimage.io\n", "import scipy.ndimage\n", "import skimage.morphology\n", "import sklearn.decomposition" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "pth = io3d.joinp(\"downloads/imm403/\")\n", "if not pth.exists():\n", " pth.mkdir(parents=True, exists_ok=True)\n", " io3d.datasets.downzip('http://www2.imm.dtu.dk/pubdb/views/edoc_download.php/403/zip/imm403.zip',str(pth))" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv(pth / 'all/shapes/shapes.txt', delimiter=' ', header=None)\n" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "pths = list((pth / \"all/images\").glob(\"*.jpg\"))" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": [ "def get_hand(im):\n", " imhsv = skimage.color.rgb2hsv(im)\n", " im0 = imhsv[:,:,1]>.25\n", " im1 = skimage.morphology.remove_small_objects(im0)\n", " im2 = scipy.ndimage.binary_fill_holes(im1)\n", " return im2\n", "\n", "# plt.imshow(im2)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "im = skimage.io.imread(pths[10])\n", "imh = get_hand(im)\n", "plt.imshow(imh)" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def get_sdf(imh):\n", " return scipy.ndimage.distance_transform_edt(imh) - scipy.ndimage.distance_transform_edt(~imh)\n", "sdf = get_sdf(imh)\n", "plt.imshow(sdf, cmap='gray')\n", "plt.colorbar()\n", "plt.contour(imh)" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(600, 800)" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imh.shape" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [], "source": [ "data = np.zeros([len(pths), 600, 800])\n", "for i, pth in enumerate(pths):\n", " im = skimage.io.imread(pths[i])\n", " imh = get_hand(im)\n", " sdf = get_sdf(imh)\n", " data[i] = sdf\n", " " ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [], "source": [ "features = data.reshape([data.shape[0], np.prod(data.shape[1:])])" ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "imre = features[0].reshape([data.shape[1], data.shape[2]])\n", "plt.imshow(imre)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PCA" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(40, 40)" ] }, "execution_count": 102, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# cov_matrix = np.cov(features)\n", "# cov_matrix.shape" ] }, { "cell_type": "code", "execution_count": 177, "metadata": {}, "outputs": [], "source": [ "# values, vectors = np.linalg.eig(cov_matrix)" ] }, { "cell_type": "code", "execution_count": 179, "metadata": {}, "outputs": [], "source": [ "# vectors[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Mean shape" ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 110, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mnshape = np.mean(features, axis=0)\n", "plt.imshow(mnshape.reshape(data.shape[1:]) > 0)" ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [], "source": [ "S = np.mat((features - mnshape))" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(40, 40)" ] }, "execution_count": 121, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(S * S.T).shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# SVD" ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [], "source": [ "# np.linalg.svd(S) # Out of memory" ] }, { "cell_type": "code", "execution_count": 180, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "TruncatedSVD(algorithm='randomized', n_components=5, n_iter=5,\n", " random_state=None, tol=0.0)" ] }, "execution_count": 180, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Alternative SVD\n", "svd = sklearn.decomposition.TruncatedSVD(n_components=5)\n", "svd.fit(S)" ] }, { "cell_type": "code", "execution_count": 140, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(5, 480000)" ] }, "execution_count": 140, "metadata": {}, "output_type": "execute_result" } ], "source": [ "svd.components_.shape" ] }, { "cell_type": "code", "execution_count": 141, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([81367.50061176, 71948.07073008, 58269.14470085, 49182.7258405 ,\n", " 37169.15943113])" ] }, "execution_count": 141, "metadata": {}, "output_type": "execute_result" } ], "source": [ "svd.singular_values_" ] }, { "cell_type": "code", "execution_count": 154, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 155, "metadata": {}, "outputs": [], "source": [ "diffs = np.matmul(np.array(weights).reshape([1,-1]), svd.components_ )" ] }, { "cell_type": "code", "execution_count": 156, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-4.98635519e-05, -5.37970067e-05, -5.77492431e-05, -6.17203336e-05,\n", " -6.57071897e-05])" ] }, "execution_count": 156, "metadata": {}, "output_type": "execute_result" } ], "source": [ "diffs[0,:5]" ] }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-4.98635519e-05, -5.37970067e-05, -5.77492431e-05, -6.17203336e-05,\n", " -6.57071897e-05])" ] }, "execution_count": 158, "metadata": {}, "output_type": "execute_result" } ], "source": [ "svd.components_[0,:5]" ] }, { "cell_type": "code", "execution_count": 189, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 189, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "weights_std = [1, 2, 0, 0, 0] # multiplication of variances of components\n", "weights = weights_std*svd.explained_variance_**0.5\n", "def get_shape(weights):\n", " dfshape = np.matmul(np.array(weights).reshape([1,-1]), svd.components_ )\n", " new_sdf = (mnshape + dfshape).reshape(data.shape[1:])\n", " return (new_sdf > 0).reshape(data.shape[1:])\n", "\n", "im = get_shape(weights)\n", "plt.imshow(im)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Get new features\n" ] }, { "cell_type": "code", "execution_count": 190, "metadata": {}, "outputs": [], "source": [ "img_id = 0\n", "w = np.matmul(svd.components_, features[img_id] - mnshape)" ] }, { "cell_type": "code", "execution_count": 195, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 13860.15306442, -14985.48921603, -11290.0852806 , -5201.06397849,\n", " -1441.3619316 ])" ] }, "execution_count": 195, "metadata": {}, "output_type": "execute_result" } ], "source": [ "img_id = 0\n", "w = np.matmul(svd.components_, features[0] - mnshape)\n", "w" ] }, { "cell_type": "code", "execution_count": 191, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 191, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(get_shape(w))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Shape model as a class" ] }, { "cell_type": "code", "execution_count": 242, "metadata": {}, "outputs": [], "source": [ "class ShapeModel():\n", " def __init__(self,n_components=3):\n", " self.n_components = n_components\n", " self.mshape = None\n", " self.svd = None\n", " self.input_shape = None\n", " \n", " \n", " def fit(self, masks:np.ndarray):\n", " \"\"\"\n", " masks: shape=[number_of_images, image_shape_0, image_shape_1, ...]\n", " \"\"\"\n", " features = self._transform_and_make_sdf(masks)\n", " self.mnshape = np.mean(features, axis=0)\n", " \n", " # get the diffs from mean shape\n", " S = np.mat((features - mnshape))\n", " self.svd = sklearn.decomposition.TruncatedSVD(n_components=self.n_components)\n", " self.svd.fit(S)\n", " self.input_shape = masks.shape\n", " self.input_ndim = masks.ndim\n", " \n", " def _transform_and_make_sdf(self, masks):\n", " sdfs = np.empty(masks.shape, dtype=float)\n", " for i in range(masks.shape[0]):\n", " sdf = scipy.ndimage.distance_transform_edt(masks[i]>0) - scipy.ndimage.distance_transform_edt(~(masks[i]>0))\n", " sdfs[i]=sdf\n", " \n", " features = sdfs.reshape([sdfs.shape[0], np.prod(sdfs.shape[1:])])\n", " return features\n", " \n", " def transform(self, masks:np.ndarray):\n", " \"\"\"\n", " Get transformed features for unknow mask\n", " \"\"\"\n", " features = self._transform_and_make_sdf(masks)\n", " ws = []\n", " for img_id in range(masks.shape[0]):\n", " w = np.matmul(self.svd.components_, features[img_id] - self.mnshape)\n", " ws.append(w)\n", " return np.asarray(ws)\n", " \n", " def inverse_transform(self, weights):\n", " \n", " masks = []\n", " for i in range(weights.shape[0]):\n", " dfshape = np.matmul(np.array(weights[i]).reshape([1,-1]), self.svd.components_ )\n", " new_sdf = (self.mnshape + dfshape).reshape(self.input_shape[1:])\n", " masks.append((new_sdf > 0).reshape(self.input_shape[1:]))\n", " \n", " return np.asarray(masks)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: 5 components" ] }, { "cell_type": "code", "execution_count": 272, "metadata": {}, "outputs": [], "source": [ "\n", "n_components = 5" ] }, { "cell_type": "code", "execution_count": 261, "metadata": {}, "outputs": [], "source": [ "masks = np.asarray([get_hand(skimage.io.imread(pth)) for pth in pths])" ] }, { "cell_type": "code", "execution_count": 273, "metadata": {}, "outputs": [], "source": [ "shm = ShapeModel(n_components=n_components)\n", "shm.fit(masks)" ] }, { "cell_type": "code", "execution_count": 274, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 9936.90224212, -17273.16631213, -2334.27551235,\n", " 6294.41292899, -2281.16589094],\n", " [ 5212.05356929, -16402.54952238, 2348.34838469,\n", " 17478.02035677, 4124.04316436],\n", " [ 29661.7390039 , 38401.21817617, -11085.01843714,\n", " 13920.85796756, 9682.07237315]])" ] }, "execution_count": 274, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Get features of first two shapes\n", "test_masks = masks[4:7]\n", "fts = shm.transform(test_masks)\n", "fts" ] }, { "cell_type": "code", "execution_count": 275, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Reconstruct the shapes\n", "shps = shm.inverse_transform(fts)\n", "fig, axs = plt.subplots(1,shps.shape[0], figsize=(10,10))\n", "for i in range(len(axs)):\n", " axs[i].imshow(shps[i]>0, cmap='gray')\n", " axs[i].contour(test_masks[i])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Example: 30 components" ] }, { "cell_type": "code", "execution_count": 276, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 9936.90224212, -17273.16631213, -2334.27551246,\n", " 6294.41292847, -2281.16588581, 3442.51779158,\n", " 535.06119454, 3024.9159559 , -109.60510519,\n", " 1174.38621652, -1634.45533231, -616.18386744,\n", " -1969.0123249 , 2210.5396869 , -61.54201648,\n", " -454.14264968, 497.98745595, 50.43092168,\n", " -1707.44415332, -886.08323509],\n", " [ 5212.05356929, -16402.54952237, 2348.34838465,\n", " 17478.02035652, 4124.04318141, 5685.13978361,\n", " -3069.50877445, 1494.15215848, 4152.03446763,\n", " 2597.56343364, 3815.78219754, -2144.74967595,\n", " 2112.96253164, -778.04415972, 268.78741295,\n", " 1322.11079102, 1153.18869289, -168.17096296,\n", " 657.71713768, 920.84696234],\n", " [ 29661.7390039 , 38401.21817617, -11085.01843705,\n", " 13920.85796821, 9682.07234725, -2677.13332993,\n", " 941.60580709, -1897.71200598, 2405.44155327,\n", " -2137.39298301, -2662.45074091, 140.06206287,\n", " 1533.35846801, 2516.79421008, -496.35423097,\n", " -1638.74822207, -1239.66648201, -421.62937806,\n", " 307.19573043, -101.62126278]])" ] }, "execution_count": 276, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_components = 20\n", "shm = ShapeModel(n_components=n_components)\n", "shm.fit(masks)\n", "# Get features of first two shapes\n", "test_masks = masks[4:7]\n", "fts = shm.transform(test_masks)\n", "fts" ] }, { "cell_type": "code", "execution_count": 277, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Reconstruct the shapes\n", "shps = shm.inverse_transform(fts)\n", "fig, axs = plt.subplots(1,shps.shape[0], figsize=(10,10))\n", "for i in range(len(axs)):\n", " axs[i].imshow(shps[i]>0, cmap='gray')\n", " axs[i].contour(test_masks[i])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example - smoothing" ] }, { "cell_type": "code", "execution_count": 280, "metadata": {}, "outputs": [], "source": [ "test_masks[:, 400:420, 80:400] = 1" ] }, { "cell_type": "code", "execution_count": 281, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fts = shm.transform(test_masks)\n", "fts\n", "# Reconstruct the shapes\n", "shps = shm.inverse_transform(fts)\n", "fig, axs = plt.subplots(1,shps.shape[0], figsize=(10,10))\n", "for i in range(len(axs)):\n", " axs[i].imshow(shps[i]>0, cmap='gray')\n", " axs[i].contour(test_masks[i])" ] }, { "cell_type": "code", "execution_count": 291, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Show components\n", "import itertools\n", "first_n_components = 3\n", "\n", "fig, axs = plt.subplots(5, first_n_components, figsize=(20,20))\n", "for i,j in itertools.product(range(first_n_components), range(0,5)):\n", " w = np.zeros([1, n_components])\n", " w[0, i] = j - 2\n", " shps = shm.inverse_transform(w * shm.svd.explained_variance_**0.5)\n", " axs[j,i].imshow(shps[0] > 0)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "axs" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.7" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }