{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Offscreen Rasterization Basics\n", "Menpo3D wraps a subproject called [cyrasterize](https://github.com/menpo/cyrasterize) which allows for simple rasterization of 3D meshes. At the moment, only basic rendering is support, with no lighting. However, in the near future many more features will be added.\n", "\n", "To begin, we need to import a mesh." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import menpo3d.io as mio\n", "\n", "mesh = mio.import_builtin_asset('james.obj')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As with all core Menpo objects, it is very simple to visualize what the textured mesh looks like. An external window will be created which shows the mesh that we just loaded (the lovely [James Booth](http://www.menpo.io/team.html#james)). This window is fully interactive and contains a number of features provided by the underlying window manager, [Mayavi](http://code.enthought.com/projects/mayavi/).\n", "\n", "Leave this window open so that we can try and replicate it using the rasterizer!\n", "\n", "#### Note: You must call `%matplotlib qt` before rendering any 3D meshes to prevent the notebook from crashing" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:traits.has_traits:DEPRECATED: traits.has_traits.wrapped_class, 'the 'implements' class advisor has been deprecated. Use the 'provides' class decorator.\n" ] } ], "source": [ "%matplotlib qt\n", "viewer = mesh.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fetching the viewer state\n", "Oncr you've moved James around in to an interesting pose, you might want to take snapshot of this pose using the rasterizer! We allow you to easily access this state via a property on the viewer.\n", "\n", "#### NOTE: You must leave the visualisation window open in order to be able to access these settings" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "viewer_settings = viewer.renderer_settings" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see from the output below, the `renderer_settings` property provides all the necessary state to control the camera for rasterization." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "projection_matrix: \n", "[[ 2.9 0. 0. 0. ]\n", " [ 0. 3.7 0. 0. ]\n", " [ 0. 0. -1.8 -1417.3]\n", " [ 0. 0. -1. 0. ]]\n", "width: \n", "400\n", "model_matrix: \n", "[[ 1. 0. 0. 0.]\n", " [ 0. 1. 0. 0.]\n", " [ 0. 0. 1. 0.]\n", " [ 0. 0. 0. 1.]]\n", "view_matrix: \n", "[[ -0.7 0.7 0. -23.8]\n", " [ -0.4 -0.4 0.8 37.2]\n", " [ 0.6 0.6 0.6 -954. ]\n", " [ 0. 0. 0. 1. ]]\n", "height: \n", "315\n" ] } ], "source": [ "# Let's print the current state so that we can see it!\n", "np.set_printoptions(linewidth=500, precision=1, suppress=True)\n", "for k, v in viewer_settings.iteritems():\n", " print(\"{}: \".format(k))\n", " print(v)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Building a GLRasterizer\n", "Now that we have all the necessary state, we a able to initialize our rasterizer and produce output images. We begin by initialising a `GLRasterizer` which the necessary camera/rendering canvas state." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from menpo3d.rasterize import GLRasterizer\n", "\n", "# Build a rasterizer configured from the current view\n", "r = GLRasterizer(**viewer_settings)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then rasterize our mesh of James, given then camera parameters that we just initialised our rasterizer with. This will produce a single output image that should be identical (bar the background colour or any lighting settings) to the view shown in the visualisation window." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Rasterize to produce an RGB image\n", "rgb_img = r.rasterize_mesh(mesh)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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adZqpWim1LgMRVz2h07val4Cy7MUyoNUK2rDSqLlRWiFIQHWZ0NxSIKaeoVux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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "rgb_img.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All rasterized images have their mask set to show what the rasterizer actually processed. Any black pixels were not processed by the shader." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rgb_img.mask.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rasterisation of arbitrary floating \n", "`GLRasterizer` gives us the ability to rasterize arbitrary floating point information. For instance, we can render out a `XYZ` floating point shape image. This is particularly useful for simulating depth cameras such as the Microsoft Kinect. Note, however, that the depth (`z`) values returned are in world coordinates, and do not represent true distances from the 'camera'." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# The first output is the RGB image as before, the second is the XYZ information\n", "rgb_img, shape_img = r.rasterize_mesh_with_shape_image(mesh)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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A0QHJa9dppUc/jh0g9MHPVke8IBDm9/T0tK6yHDsIlEql1lggbx26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\n8x75oz/6o8xtnk3NZrN1xll4bXNzc62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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The last channel is the z information in model space coordinates\n", "# Note that this is NOT camera depth\n", "shape_img.view(channels=2)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }