{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Forward inverse rendering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview\n", "\n", "The previous example demonstrated *reverse-mode differentiation* (a.k.a. backpropagation) where a desired small change to the output image was converted into a small change to the scene parameters. Mitsuba and Dr.Jit can also propagate derivatives in the other direction, i.e., from input parameters to the output image. This technique, known as *forward mode differentiation*, is typically less suitable for optimization, as the contribution from each parameter must be handled using a separate rendering pass. That said, this mode can be very educational since it enables visualizations of the effect of individual scene parameters on the rendered image.\n", "\n", "
\n", "\n", "🚀 **You will learn how to:**\n", " \n", "\n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "We start by setting an AD-compatible variant (here `llvm_ad_rgb`) and load the Cornell Box scene." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import drjit as dr\n", "import mitsuba as mi\n", "\n", "mi.set_variant('llvm_ad_rgb')\n", "\n", "scene = mi.load_file('../scenes/cbox.xml')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preparing the scene\n", "\n", "Forward mode differentiable rendering begins analogously to reverse mode, by marking the parameters of interest as differentiable (in this example, we do so manually instead of using an `Optimizer`). \n", "\n", "Our goal here is to visualize how changes of the green wall's color affect the final rendered image. Note that we are rendering this image using a physically-based *path tracer*, which means that it accounts for globlal illumination, reflection, refraction, and so on. Gradients computated from this simulation will also expose such effects." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "params = mi.traverse(scene)\n", "\n", "key = 'green.reflectance.value'\n", "\n", "# Mark the green wall color parameter as differentiable\n", "dr.enable_grad(params[key])\n", "\n", "# Propagate this change to the scene internal state\n", "params.update();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rendering\n", "\n", "We can then perform the simulation to be differentiated. In this case, we simply render an image using the `mi.render()` routine, which will in turn call the scene's path tracer integrator.\n", "\n", "As we have marked the wall color as *differentiable*, its role in the rendering process is recorded in the autodiff graph." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "image = mi.render(scene, params, spp=128)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [dr.forward()][1] function will assign a gradient value of `1.0` to the given variables and forward-propagate those gradients through the previously recorded computation graph. During this process, gradient will be accumulated in the output nodes of this graph (here, the rendered image).\n", "Finally, the gradients can be read using [dr.grad()][2].\n", "\n", "For more detailed information about differentiation with DrJit, please refer to the [documentation][3].\n", "\n", "[1]: https://drjit.readthedocs.io/en/latest/reference.html#drjit.forward\n", "[2]: https://drjit.readthedocs.io/en/latest/reference.html#drjit.grad\n", "[3]: https://drjit.readthedocs.io/en/latest" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Forward-propagate gradients through the computation graph\n", "dr.forward(params[key])\n", "\n", "# Fetch the image gradient values\n", "grad_image = dr.grad(image)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing the gradient image\n", "\n", "The gradient value of the `image` variable will share the same type (here `TensorXf`) hence it can easily be visualized as any other image.\n", "When displayin the gradient image below, we boost the gain a bit to better see the *global effect* of the wall color on the rest of the scene." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "nbsphinx-thumbnail": {} }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.imshow(grad_image * 2.0)\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note however that gradient values are not necessarily within the `[0, 1]` range, and so it makes more sense to use a color map and visualize each color channel of the gradient image individually." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Remapping colors within range: [-2.79, 2.79]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import matplotlib.cm as cm\n", "\n", "cmap = cm.coolwarm\n", "vlim = dr.max(dr.abs(grad_image))[0]\n", "print(f'Remapping colors within range: [{-vlim:.2f}, {vlim:.2f}]')\n", "\n", "fig, axx = plt.subplots(1, 3, figsize=(8, 3))\n", "for i, ax in enumerate(axx):\n", " ax.imshow(grad_image[..., i], cmap=cm.coolwarm, vmin=-vlim, vmax=vlim)\n", " ax.set_title('RGB'[i] + ' gradients')\n", " ax.axis('off')\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using latent variables (advanced)\n", "\n", "In more complex scenarios, scene parameters might themselves be the result of differentiable computations, then depending on other *latent variables*. For instance, the color of the CBox wall could be the result of the evalutation of a neural network, or some other procedural process.\n", "\n", "In this case, it is important for the gradients of those latent variables to be propagate to the scene parameters **before** calling `mi.render()`. This way, the computation happing inside the renderer (involving `dr.Loop`) will only be responsible for propagating the gradients further to the output image. Failing to do so will result in uncorrect gradient as the loop tracing will destroy the part of the computational graph that took place outside of the loop (e.g. here linking the latent variable to the scene parameters).\n", "\n", "In this example, we are simply going to parameterize the wall color using simple arithmetics and forward propagate the gradients properly." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Our latent variable\n", "theta = mi.Float(0.5)\n", "dr.enable_grad(theta)\n", "\n", "# The wall color now depends on `theta`\n", "params[key] = mi.Color3f(\n", " 0.2 * theta,\n", " 0.5 * theta,\n", " 0.8 * theta\n", ")\n", "\n", "# Propagate this change to the scene internal state\n", "params.update();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dr.Jit exposes various [dr.ADFlag][1] flags to control how the AD graph should be affected by the AD traversal. [dr.ADFlag.ClearEdges][2] specifies that gradient values should be kept in all variables during the traversal. This is to handle the case where a scene parameter depends on another scene parameter. Without this flag, the first scene parameter wouldn't be considered as a *leaf* node during the traversal and its gradient would be set to zero instead.\n", "\n", "The following line propagates gradients from `theta` to the 3 channels of the `green.reflectance.value` scene parameters.\n", "\n", "[1]: https://drjit.readthedocs.io/en/latest/reference.html#drjit.traverse\n", "[2]: https://drjit.readthedocs.io/en/latest/reference.html#drjit.traverse" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "dr.forward(theta, dr.ADFlag.ClearEdges)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As done before, we can now render the image and forward progate the gradients from the scene parameters to the output image.\n", "\n", "Unfortunately `dr.forward()` will overwrite the gradients of the provided variable, so it is necessary to use a different function in this situation. [dr.forward_to()][1] automatically propagates gradients to a specified variable after finding all possible sources by inspecting the AD graph. It does so without overwritting the gradient value in those which is what we need in this context.\n", "\n", "[1]: https://drjit.readthedocs.io/en/latest/reference.html#drjit.forward" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Bitmap[\n", " pixel_format = rgb,\n", " component_format = float32,\n", " size = [256, 256],\n", " srgb_gamma = 0,\n", " struct = Struct<12>[\n", " float32 R; // @0, premultiplied alpha\n", " float32 G; // @4, premultiplied alpha\n", " float32 B; // @8, premultiplied alpha\n", " ],\n", " data = [ 768 KiB of image data ]\n", "]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image = mi.render(scene, params, spp=128)\n", "\n", "# Forward-propagate the gradients to the image\n", "dr.forward_to(image)\n", "\n", "# Visualize the gradient image\n", "mi.Bitmap(dr.grad(image))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## See also\n", "\n", "- [mitsuba.ad.Optimizer](https://mitsuba.readthedocs.io/en/latest/src/api_reference.html#mitsuba.ad.Optimizer)\n", "- [prb plugin](https://mitsuba.readthedocs.io/en/latest/src/generated/plugins_integrators.html#path-replay-backpropagation-prb)\n", "- [drjit.forward()](https://drjit.readthedocs.io/en/latest/reference.html#drjit.forward)\n", "- [drjit.forward_to()](https://drjit.readthedocs.io/en/latest/reference.html#drjit.forward_to)" ] } ], "metadata": { "celltoolbar": "Edit Metadata", "interpreter": { "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 4 }