20170513_Autostereograms.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# References "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "http://www.cs.waikato.ac.nz/~ihw/papers/94-HWT-SI-IHW-SIRDS-paper.pdf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Figure 1: checkerboard "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def make_checkerboard(horizontal_pattern=20, vertical_pattern=20, repetitions=(10, 10)):\n",
    "    \"\"\"Makes a checkerboard autostereogram.\n",
    "    Repetitions = (reps_horizontal, reps_vertical)\n",
    "    \"\"\"\n",
    "    checkerboard = np.zeros((horizontal_pattern * repetitions[0], vertical_pattern * repetitions[1]))\n",
    "    for i in range(checkerboard.shape[0]):\n",
    "        if (i // vertical_pattern) % 2 == 0: \n",
    "            checkerboard[i, :] = make_line(horizontal_pattern, repetitions[0])\n",
    "        else:\n",
    "            checkerboard[i, :] = make_line(horizontal_pattern, repetitions[0], with_dot=False)\n",
    "    return checkerboard"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def make_line(pattern_size, repetitions, with_dot=True):\n",
    "    \"\"\"Makes a horizontal line.\"\"\"\n",
    "    pattern = np.random.binomial(1, p=0.5, size=pattern_size)\n",
    "    line = np.concatenate([pattern for _ in range(repetitions)]) \n",
    "    if with_dot:\n",
    "        for j in range(repetitions-1):\n",
    "            line[(j+1) * pattern_size] = np.random.binomial(1, p=0.5, size=1)\n",
    "    return line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "pattern_size = 90\n",
    "repetitions = 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "line = make_line(pattern_size, repetitions, with_dot=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(270,)"
      ]
     },
     "execution_count": 120,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "line.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1071972b0>]"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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0hWOycbSg/ySNIuKavGO6OhusHdW1pVYMx6rych4HXgNrY6r2ec55LEnXRir1V+fNGlcs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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107688240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(line)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "checkerboard = make_checkerboard()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 199.5, 199.5, -0.5)"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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92I1/+zPsth/Rh14banHNp+Wxwr/Nu/ErfIbb/x0j2qjwGSr0YTf+7c9gfvmd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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d08db00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "plt.imshow(checkerboard, cmap='gray')\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Second try "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def make_alternating_line():\n",
    "    \"Makes an alternating line.\"\n",
    "    pattern = np.random.binomial(1, p=0.5, size=20)\n",
    "    line = np.empty([])\n",
    "    for block in range(10):\n",
    "        if block % 2 == 0: \n",
    "            line = np.append(line, pattern)\n",
    "        else:\n",
    "            line = np.append(line, np.r_[pattern, np.random.randint(2)])\n",
    "    return line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "line = make_alternating_line()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10b9501d0>]"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7RZAzNzKLDonAMryeJU361sFz3zKtnvsFHi1j42W+1XUwQkQ7gH+gLqez0jU8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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108903320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(line)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(206,)"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "line.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "line_shape = line.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "checkerboard = np.c_[[make_alternating_line() for _ in range(206)]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 205.5, 205.5, -0.5)"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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t0XzQ6rmzK2W3196d+c3u68tZ7om0L7tjT9bi6lmu/D2+O7vZaz86ZXnmeGUtyi5mZn9f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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1070b08d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "plt.imshow(checkerboard, cmap='gray')\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Third try "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def make_line():\n",
    "    pattern = np.random.binomial(1, p=0.5, size=40)\n",
    "    depth_map = (np.arange(200) / 20).astype(np.int) % 2\n",
    "    line = np.empty(depth_map.size)\n",
    "    for j in range(depth_map.size):\n",
    "        if j < pattern.size:\n",
    "            line[j] = pattern[j]\n",
    "        else:\n",
    "            lag = 80 + depth_map[j] * 20\n",
    "            line[j] = line[j - lag]\n",
    "    return line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "checkerboard = np.c_[[make_line() for _ in range(200)]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 199.5, 199.5, -0.5)"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AZAsAACCByRYAAECCknu2ntZ17lj3ObqOc/S3/Hd8htU+ja5dHf2MEXshotvMOP+sWh4j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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10709c630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "plt.imshow(checkerboard, cmap='gray')\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fourth try "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The initial pattern needs to be large!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's just make a far plane background image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pattern_size = 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "img_shape = (200, 200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def make_pattern(pattern_size):\n",
    "    \"Returns random dot pattern.\"\n",
    "    return np.random.binomial(1, 0.5, size=pattern_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "lag = 72\n",
    "far_plane = np.empty(img_shape)\n",
    "for row in range(img_shape[0]):\n",
    "    pattern = make_pattern(pattern_size)\n",
    "    line = np.empty((img_shape[1]))\n",
    "    for c in np.arange(line.size):\n",
    "        if c < pattern_size:\n",
    "            line[c] = pattern[c]\n",
    "        else:\n",
    "            line[c] = line[c - lag]\n",
    "    far_plane[row, :] = line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 199.5, 199.5, -0.5)"
      ]
     },
     "execution_count": 167,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3VeQkn86BT5yz7oa/N+Z6j4zW3NG0ON3Acff1K81zZ+esjkunY9KTORMx4fa4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\nCwAAIECyBQAAEPAHIwJagaFRXTQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1070a66a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "plt.imshow(far_plane, cmap='gray')\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ok, this works. Let's now try the checkerboard."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "far_lag = 80\n",
    "near_lag = 70\n",
    "n_squares = 6\n",
    "dist = img_shape[0] // 10\n",
    "\n",
    "checkerboard = np.empty(img_shape)\n",
    "for row in range(img_shape[0]):\n",
    "    pattern = make_pattern(pattern_size)\n",
    "    line = np.empty((img_shape[1]))\n",
    "    for c in np.arange(line.size):\n",
    "            if c // dist % 2 == row // dist % 2:\n",
    "                lag = far_lag\n",
    "            else:\n",
    "                lag = near_lag\n",
    "            if c - lag < 0:\n",
    "                line[c] = pattern[(c - lag) % pattern_size]\n",
    "            else:\n",
    "                line[c] = line[c - lag]\n",
    "    checkerboard[row, :] = line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 199.5, 199.5, -0.5)"
      ]
     },
     "execution_count": 179,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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zOl/PHKf7Bq0ef3dMdi3C6l7viH41q3vud/Rnir6eo+vQIu6F7Ht6NS/2xNCS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\n2QIAAAiQbAEAAAT8AW3woUgKO4XzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108601e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "plt.imshow(checkerboard, cmap='gray')\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "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"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}