+ "prompt_number": 47
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "options[\"built\"] = [\"single\", \"double\", \"cumul-single\", \"cumul-double\", \"path-single\", \"path-double\", \"path-rat\"] # Hack for now, these were manually compiled"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 91
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Accuracy of Rendering VS Scaling"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "scaling_data = {}\n",
+ "for b in options[\"built\"]:\n",
+ " scaling_data[b] = scaling.FixedScales(\"./\"+b, fps=100, xz=0.5, yz=0.5)\n",
+ " "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 92
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<table>\n",
+ " <tr><td><b>Original</b></td><td><b>Scaled</b></td></tr>\n",
+ " <tr><td><img src=\"original.bmp\" width=\"50%\"/></td><td><img src=\"final.bmp\" width=\"50%\"/></td></tr>\n",
+ "</table>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "fig = figure(figsize=(6,4))\n",
+ "for b in scaling_data:\n",
+ " plot(1.0/scaling_data[b][\"accuracy\"][:,2], scaling_data[b][\"accuracy\"][:,5])\n",
+ "xscale(\"log\")\n",
+ "legend(scaling_data.keys(), loc=\"best\")\n",
+ "title(\"Loss of Precision for a 1x1 pixel grid\\nView Top Left: (0.5,0.5)\")\n",
+ "xlabel(\"Magnification (1/width)\")\n",
+ "ylabel(\"Representable Lines\")\n",
+ "\n",
+ "fig.savefig('../../sam/figures/loss_of_precision_grid_0.5.pdf', format='PDF')"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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NJYgRI0bA2NhY4djo0aMhFNZW+Y9//AOZmbU7ep08eRI+Pj7Q0dGBXC6Hg4MD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\n",
+ "text": [
+ "<matplotlib.figure.Figure at 0x7f305427d810>"
+ ]
+ }
+ ],
+ "prompt_number": 97
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "fig = figure(figsize=(6,4))\n",
+ "for b in scaling_data:\n",
+ " plot(1.0/scaling_data[b][\"accuracy\"][:,2], scaling_data[b][\"performance\"][:,3])\n",
+ "xscale(\"log\")\n",
+ "legend(scaling_data.keys())\n",
+ "xlabel(\"Magnification\")\n",
+ "ylabel(\"Average FPS (100 frames)\")"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 98,
+ "text": [
+ "<matplotlib.text.Text at 0x7f3053e62150>"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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slliytLQkm1WbyOVrP7p0UZkC++4mUYWIduzYQb16W9DpDe/RvA/TSWFrOO09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\n",
+ "text": [
+ "<matplotlib.figure.Figure at 0x7f3053fc1b90>"
+ ]
+ }
+ ],
+ "prompt_number": 98
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Invariance after scaling"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "invariance_data = {}\n",
+ "for b in options[\"built\"]:\n",
+ " invariance_data[b] = scaling.TestInvariance(\"./\"+b, fps=100, x0 = 0.5, y0 = 0.5, w0 = 1e-6, h0 = 1e-6, xz=400, yz=300)\n",
+ " "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 191
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "invariance_data.keys()"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 187,
+ "text": [
+ "['path-single', 'double', 'single', 'cumul-double', 'cumul-single']"
+ ]
+ }
+ ],
+ "prompt_number": 187
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "fig = figure(figsize=(6,4))\n",
+ "for b in invariance_data.keys():\n",
+ " plot(invariance_data[b][\"accuracy\"][:,2], invariance_data[b][\"accuracy\"][:,4])\n",
+ "xscale(\"log\")\n",
+ "yscale(\"log\")\n",
+ "legend(scaling_data.keys(), loc=\"best\")\n",
+ "xlabel(\"Total scaling factor\")\n",
+ "ylabel(\"Accumulated Error\")\n",
+ "fig.savefig(\"../../sam/figures/cumulative_error_grid.pdf\", format=\"PDF\")"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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NIZCeeoABG5qe2mEI00O60eBQVynlln640/7RFNX62FlsJHvS6qlU09QbHOLj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\negN9oYteX9eon93w63SXz1705apNn3NYsWIFq1atwmQyMXH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+ "text": [
+ "<matplotlib.figure.Figure at 0x7f3051f4b3d0>"
+ ]
+ }
+ ],
+ "prompt_number": 195