{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this blog post, we're going to examine how autostereograms work and how to build our own. Our plan of attack is as follows. First, we will explain how it is possible to give the illusion of depth using a single image and geometrical optics of the eye. This will be illustrated by the wallpaper effect. Then we will generalize this principle to any depth map using the algorithm explained by Thimbleby." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Eye physics " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When you look at an object, your eyes do two things: they align towards the object and they adjust the focus so to see that object sharply on your retina. Let's try to illustrate this:" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "from ipywidgets import interact, fixed" ] }, { "cell_type": "code", "execution_count": 106, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "33f7af8d8f1743b89a991a5653213f04" } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@interact\n", "def plot_eye_movement(x_pos=(-1, 1, 0.1), y_pos=(1, 4, 0.1), newfig=fixed(True), showfig=fixed(True)):\n", " \"Plots the eye movement relative to an object.\"\n", " if newfig:\n", " plt.figure(figsize=(5, 5))\n", " left_xy = (-1, 0)\n", " right_xy = (1, 0)\n", " ax = plt.gca()\n", " ax.add_artist(plt.Circle(left_xy, 0.1))\n", " ax.add_artist(plt.Circle(right_xy, 0.1))\n", " ax.add_artist(plt.Circle((x_pos, y_pos), 0.05))\n", " ax.set_xlim(-2.2, 2.2)\n", " ax.set_ylim(-0.2, 4.2)\n", " ax.plot((left_xy[0], x_pos), (left_xy[1], y_pos), color='orange')\n", " ax.plot((right_xy[0], x_pos), (right_xy[1], y_pos), color='orange')\n", " plt.axis('off')\n", " if showfig: plt.show()\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make a still drawing of several of these plots." ] }, { "cell_type": "code", "execution_count": 107, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 3))\n", "plt.subplot(1, 4, 1)\n", "plot_eye_movement(0, 1, False, False)\n", "plt.subplot(1, 4, 2)\n", "plot_eye_movement(0, 2, False, False)\n", "plt.subplot(1, 4, 3)\n", "plot_eye_movement(0, 3, False, False)\n", "plt.subplot(1, 4, 4)\n", "plot_eye_movement(0, 4, False, False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What one can see in the above figure is that " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Plan of attack " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "- demonstrate the wallpaper effect\n", "- explain the principle behind stereopsis (geometry, convergence and focusing)\n", "- explain the first algorithm (Tyler)\n", "- explain the second algorithm (Thimbleby)\n", "- do some case studies (explore different parameters of the algorithm, maps, charts, different wallpapers)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Thimbleby " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Let's implement the Thimbleby algorithm." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "First, we need a depth map." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "max_x = 300" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "depth_map = (np.cos((np.arange(max_x) - max_x/2) / max_x/2. * 4 * np.pi) + 1)/2" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XP5x/htVxVCN3jownuIM3j32zQy+NbGe03NVp+WJTHptzi7h/XBIdfe26sla1oaAO3kwZ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\nDWm5K6WUG9JyV0opN/T/AeLm+ZcIt8qRAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(depth_map)\n", "plt.title('depth')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Now we do the first pass: init the constraint vector." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "constraint = np.arange(depth_map.size)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(constraint)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Now we do the constraint loop." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "def compute_separation(depth, E, mu=1/3):\n", " \"Depth should be in 0-1 range.\"\n", " return (1 - mu * depth) / (2 - mu * depth) * E" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "E = 300" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "def compute_constraint(depth_map):\n", " constraint = np.arange(depth_map.size)\n", " for x in np.arange(depth_map.size):\n", " s = compute_separation(depth_map[x], E=E)\n", " left = int(x - s/2)\n", " right = left + s\n", " left_valid = left >= 0 and left < depth_map.size\n", " right_valid = right >= 0 and right < depth_map.size\n", " if left_valid and right_valid:\n", " if constraint[left] == left:\n", " constraint[left] = right\n", " else:\n", " k = left\n", " while not constraint[k] == k:\n", " k = constraint[k]\n", " if k < right:\n", " left = k\n", " else:\n", " left = right\n", " right = k\n", " constraint[left] = right\n", " return constraint" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "constraint = compute_constraint(depth_map)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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gxB8q9GGYv2k/oz9dyoa9R2lepyq/79OcBZsP4PEGF3OXS8j3GPJtQjcFg7E2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\nqSe7xgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(constraint)\n", "plt.plot(np.arange(constraint.size))" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HIKffR2nHoK6lSjmptDDwVQW1z8wzDMQZo3Qz6MzXgJxeL2G7yBiFi1Tl5Al+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\nrAJe2sl9u0XDLpAy+49mcLW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.arange(constraint.size) - constraint)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.57" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.unique(constraint).size / constraint.size" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can look at it interactively." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "00b789522bec438f8d19444431c63b64" } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@interact\n", "def plot_constraints(idx=(0, depth_map.size - 1)):\n", " \"Plots the decision process.\"\n", " s = compute_separation(depth_map[idx], E=E)\n", " left = int(idx - s/2)\n", " right = int(idx + s/2)\n", " plt.plot(depth_map)\n", " plt.plot(left, 1, 'o')\n", " plt.plot(right, 1, 'o')\n", " plt.title('separation={:.2f}'.format(s))\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The second loop is in decreasing order, from right to left." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "def fill_pixels(constraint):\n", " \"Fills pixels from constraint mappping.\"\n", " pixels = np.empty_like(constraint)\n", " for x in np.arange(constraint.size)[::-1]:\n", " if constraint[x] == x:\n", " pixels[x] = np.random.randint(2)\n", " else:\n", " pixels[x] = pixels[constraint[x]]\n", " return pixels" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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QrjUUS3PLhIWNcaDJH6IwKk1OnvSigXMbfK2TvU8ij49+hsRh8PUoHnyIpNj9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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pixels = fill_pixels(constraint)\n", "\n", "plt.plot(pixels)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Now all, we need to do is repeat that a hundred lines." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "autostereogram = np.r_[[fill_pixels(constraint) for _ in range(max_x)]]" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 15))\n", "plt.axis('off')\n", "plt.imshow(autostereogram, cmap='gray')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "# Applications" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "Math functions (complex math maybe)\n", "\n", "Wikipedia dolphin or shark\n", "\n", "Google maps\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.5.2" }, 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