From 06e2be50c8b115a38344d21c7501f68c5dff390f Mon Sep 17 00:00:00 2001 From: Philipp Holl Date: Thu, 23 Nov 2023 20:59:22 +0100 Subject: [PATCH] [doc] Add Heightmaps.ipynb --- docs/Heightmaps.ipynb | 427 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 427 insertions(+) create mode 100644 docs/Heightmaps.ipynb diff --git a/docs/Heightmaps.ipynb b/docs/Heightmaps.ipynb new file mode 100644 index 000000000..7a07270a6 --- /dev/null +++ b/docs/Heightmaps.ipynb @@ -0,0 +1,427 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Heightmaps\n", + "\n", + "This notebook introduces surfaces parameterized by heightmaps." + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 1, + "outputs": [], + "source": [ + "# !pip install git+https://github.com/tum-pbs/PhiFlow@3.0\n", + "from phi.flow import *" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "Heightmaps can be used in 2D or 3D. They encode a grid surface made up of lines or planes, respectively.\n", + "The grid vertices are equally spaced and the displacement (height) of each point is specified via a 1D or 2D tensor.\n", + "\n", + "The following code creates a heightmap in 2D from a list of height values." + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 2, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\PhD\\phiflow2\\PhiML\\phiml\\backend\\_backend.py:1582: RuntimeWarning: divide by zero encountered in divide\n", + " return numerator / denominator\n", + "C:\\PhD\\phiflow2\\PhiML\\phiml\\backend\\_backend.py:1578: RuntimeWarning: invalid value encountered in multiply\n", + " return a * b\n", + "C:\\PhD\\phiflow2\\PhiML\\phiml\\backend\\_backend.py:1582: RuntimeWarning: invalid value encountered in divide\n", + " return numerator / denominator\n", + "C:\\PhD\\phiflow2\\PhiML\\phiml\\backend\\_backend.py:1574: RuntimeWarning: invalid value encountered in subtract\n", + " return a - b\n" + ] + }, + { + "data": { + "text/plain": "
" + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": "
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NBQ2AEim0JxIR6yStqzh2xbjtvZLem3ddAGrXut/wASAXhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhYSI7SNt32n7l9mfR0wwbsT2w9mjJ+86AUytqJnIZZLujogTJd2d7VezJyLenD3Oy688ALUqKkRWSlqbba+V9M6C6gCQqKgQOSoitmXbz0k6aoJx82z32n7A9jsnejLbq7NxvQMDA/WuFcAkOhr1xLbvknR0lVOXj9+JiLAdEzzNsRGx1fbxku6x/VhEPFM5KCLWSFojSd3d3RM9F4AGaFiIRMSZE52z/VvbiyJim+1FkrZP8Bxbsz832b5P0qmSDggRAMUp6namR9KF2faFkr5fOcD2EbbnZttdkk6X9ERuFQKoSVEhcpWks2z/UtKZ2b5sd9v+cjbmDZJ6bT8i6V5JV0UEIQKUTMNuZyYTETskvaPK8V5Jl2TbP5X0ppxLAzBNfMUqgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIWEiO332t5oe9R29yTjzrb9lO0+25flWSOA2hQ1E3lc0rsl3T/RANuzJX1R0jmSTpJ0ge2T8ikPQK06irhoRDwpSbYnG7ZCUl9EbMrG3ixppaQnGl4ggJqVuSeyWNKWcfv92TEAJdKwmYjtuyQdXeXU5RHx/Tpfa7Wk1ZK0dOnSej41gCk0LEQi4szEp9gqacm4/WOyY9WutUbSGknq7u6OxOsCmIYy385skHSi7eNsz5G0SlJPwTUBqFDUEu+7bPdLepukH9q+Izv+OtvrJCkihiVdKukOSU9K+mZEbCyiXgATK2p15ruSvlvl+G8knTtuf52kdTmWBmCaynw7A6AJECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSECIAkhAiAJIQIgCSOKK1foaP7QFJv054ii5Jz9epnDw1Y93NWLPUnnUfGxELq51ouRBJZbs3Iib8NRZl1Yx1N2PNEnVX4nYGQBJCBEASQuRAa4ouYIaase5mrFmi7v+HngiAJMxEACQhRAAkadsQsX227ads99m+rMr5ubZvyc6vt72sgDIPUEPdF9kesP1w9rikiDorarrR9nbbj09w3ravzf5Nj9penneNVWqaquYzbO8a9zpfkXeNVWpaYvte20/Y3mj7Y1XG1P+1joi2e0iaLekZScdLmiPpEUknVYz5G0k3ZNurJN3SJHVfJOm6omutqOlPJS2X9PgE58+V9CNJlvRWSeuboOYzJP2g6DoralokaXm2faikp6t8fNT9tW7XmcgKSX0RsSkiBiXdLGllxZiVktZm27dKeodt51hjNbXUXToRcb+knZMMWSnpphjzgKTDbS/Kp7rqaqi5dCJiW0Q8lG2/pLFf+ra4YljdX+t2DZHFkraM2+/XgS/278fE2G/j2yVpQS7VTayWuiXpPdlU9VbbS6qcL5ta/11l8zbbj9j+ke03Fl3MeNnt96mS1lecqvtr3a4h0spuk7QsIk6WdKdenU2hvh7S2PeTnCLpC5K+V2w5r7I9X9K3JX08Il5s9PXaNUS2Shr/GfqY7FjVMbY7JB0maUcu1U1syrojYkdE7Mt2vyzpLTnVlqKW96NUIuLFiHg5214nqdN2V8FlyXanxgLk6xHxnSpD6v5at2uIbJB0ou3jbM/RWOO0p2JMj6QLs+3zJd0TWWeqQFPWXXF/e57G7ovLrkfSB7KVg7dK2hUR24ouajK2j97fI7O9QmP/lwr9JJPV8xVJT0bENRMMq/trXcgv9C5aRAzbvlTSHRpb8bgxIjbavlJSb0T0aOzN+JrtPo012FYVV/GYGuv+qO3zJA1rrO6LCis4Y/sbGlvN6LLdL+lTkjolKSJu0NgvbT9XUp+kVyR9sJhKX1VDzedL+rDtYUl7JK0qwSeZ0yW9X9Jjth/Ojn1S0lKpca81X/YOIEm73s4AqBNCBEASQgRAEkIEQBJCBEASQgS5yr7T9Fe2j8z2j8j2lxVcGmaIEEGuImKLpOslXZUdukrSmoh4trCikISvE0Husi/NflDSjZI+JOnNETFUbFWYqbb8ilUUKyKGbP+jpNsl/TkB0ty4nUFRzpG0TdIfFl0I0hAiyJ3tN0s6S2M/Wetvi/4BREhDiCBX2XeaXq+xn3WxWdLnJV1dbFVIQYggbx+StDki7sz2vyTpDbbfXmBNSMDqDIAkzEQAJCFEACQhRAAkIUQAJCFEACQhRAAkIUQAJPk/wuXd7JqeRM8AAAAASUVORK5CYII=\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "height = wrap([.1, .02, 0, 0, 1, .95, .8, .5, 0], spatial('x'))\n", + "bounds = Box(x=2, y=1)\n", + "heightmap = geom.Heightmap(height, bounds, max_dist=.1)\n", + "plot(heightmap)" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "The heightmap surface separates the inside from the outside.\n", + "Whether the inside is below or above the height values can be set in the `Heightmap` constructor." + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 3, + "outputs": [ + { + "data": { + "text/plain": "
" + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "is_inside = CenteredGrid(lambda loc: heightmap.lies_inside(loc), x=100, y=100, bounds=Box(x=2, y=2))\n", + "plot(is_inside)" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "While the inside check is always exact, the distance from the surface is an approximation.\n", + "For small distances, the face directly underneath a point will usually be closest but for farther points this is not always true.\n", + "To account for this, each face links to one other face that will be queried for larger distances.\n", + "Finding these secondary faces is performed during heightmap construction where the parameter `max_dist` influences which other faces are the most important to link.\n", + "\n", + "Above, we set `max_dist=0.1`. In the following cell, we visualize the distance from the surface." + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 4, + "outputs": [ + { + "data": { + "text/plain": "
" + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "distance = CenteredGrid(lambda loc: heightmap.approximate_signed_distance(loc), x=100, y=100, bounds=Box(x=2, y=2))\n", + "plot(distance, heightmap, overlay='args')" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "markdown", + "source": [], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "With `max_dist=0.1`, the values further than 0.1 away from the cliff get inaccurate distances.\n", + "Let's increase `max_dist´ to see the difference." + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 5, + "outputs": [ + { + "data": { + "text/plain": "
" + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "heightmap = geom.Heightmap(height, bounds, max_dist=1)\n", + "distance = CenteredGrid(lambda loc: heightmap.approximate_signed_distance(loc), x=100, y=100, bounds=Box(x=2, y=2))\n", + "plot(distance, heightmap, overlay='args')" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "Now larger distances are covered as well.\n", + "This runs with the same number of computations but trades off accuracy closer to the surface." + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "We can additionally query the direction to the closest surface point as well as the corresponding normal vector." + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 6, + "outputs": [ + { + "data": { + "text/plain": "
" + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "points = Box(x=2, y=2).sample_uniform(instance(points=200))\n", + "points = points.points[~heightmap.lies_inside(points)]\n", + "delta, normal, _, face_index = heightmap.approximate_closest_surface(points)\n", + "plot({'closest': [heightmap, PointCloud(points, .1 * math.vec_normalize(delta))],\n", + " 'normal': [heightmap, PointCloud(points, -.1 * normal)]}, overlay='list', color=[0, 1])" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "## Vertical Heightmaps\n", + "\n", + "The grid orientation is determined by which spatial dimension is not part of the grid.\n", + "E.g. to create a vertical heightmap, the displacement values should be listed along the *y* direction." + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 7, + "outputs": [ + { + "data": { + "text/plain": "
" + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "height = wrap([.1, .02, 0, 0, 1, .95, .8, .5, 0], spatial('y'))\n", + "bounds = Box(x=1, y=2)\n", + "plot(geom.Heightmap(height, bounds, max_dist=.1))" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2D Heightmaps" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 9, + "outputs": [ + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "bounds = Box(x=2, y=2, z=1)\n", + "height = CenteredGrid(lambda pos: -math.exp(-math.vec_squared(pos-1) * 3), 0, bounds['x,y'], x=10, y=10).values\n", + "heightmap = geom.Heightmap(height, bounds, max_dist=.1)\n", + "show(heightmap)" + ], + "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