{ "cells": [ { "cell_type": "markdown", "id": "f53b58d7-4a4c-41cd-b689-c42462d7c464", "metadata": {}, "source": [ "# Volumetric inverse rendering" ] }, { "cell_type": "markdown", "id": "2c00d2cc-3e22-464c-bf13-cf703e29cf23", "metadata": {}, "source": [ "## Overview\n", "\n", "In this tutorial, we use Mitsuba's differentiable volumetric path tracer to optimize a scattering volume to match a set of (synthetic) reference images. We will optimize a 3D volume density that's stored on a regular grid. The optimization will account for both direct and indirect illumination by using [path replay backpropagation][1] to compute derivatives of delta tracking and volumetric multiple scattering. The reconstructed volume parameters can then for example be re-rendered using novel illumination conditions.\n", "\n", "\n", "
\n", "\n", "🚀 **You will learn how to:**\n", " \n", "\n", " \n", "
\n", "\n", "[1]: https://rgl.epfl.ch/publications/Vicini2021PathReplay" ] }, { "cell_type": "markdown", "id": "644bbd28-7d4b-4494-8926-d8a1e892d69d", "metadata": {}, "source": [ "## Setup\n", "\n", "As always, we start with the usual imports and set a variant that supports automatic differentation." ] }, { "cell_type": "code", "execution_count": 1, "id": "83ec80cc-d2a5-46da-83bd-cd66f8947a23", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt \n", "\n", "import drjit as dr\n", "import mitsuba as mi\n", "\n", "mi.set_variant('cuda_ad_rgb', 'llvm_ad_rgb')" ] }, { "cell_type": "markdown", "id": "fbd1cb4f-c4e5-4bf7-9b24-417c4ee080a9", "metadata": {}, "source": [ "## Creating multiple sensors\n", "\n", "We cannot hope to obtain a robust volumetric reconstruction using only a single reference image. Multiple viewpoints are needed to sufficiently constrain the reconstructed volume density. Using a multi-view optimization we can recover volume parameters that generalize to novel views (and illumination conditions).\n", "\n", "In this tutorial, we use 5 sensors placed on a half circle around the origin. For the simple optimization in this tutorial this is sufficient, but more complex scenes may require using significantly more views (e.g., using 50-100 sensors is not unreasonable)." ] }, { "cell_type": "code", "execution_count": 2, "id": "10333b5e-eb4a-4b97-bb97-7895f2d8cd0d", "metadata": {}, "outputs": [], "source": [ "from mitsuba import ScalarTransform4f as T\n", "\n", "sensor_count = 5\n", "sensors = []\n", "\n", "for i in range(sensor_count):\n", " angle = 180.0 / sensor_count * i - 90.0\n", " sensor_rotation = T().rotate([0, 1, 0], angle)\n", " sensor_to_world = T().look_at(target=[0, 0, 0], origin=[0, 0, 4], up=[0, 1, 0])\n", " sensors.append(mi.load_dict({\n", " 'type': 'perspective',\n", " 'fov': 45,\n", " 'to_world': sensor_rotation @ sensor_to_world,\n", " 'film': {\n", " 'type': 'hdrfilm',\n", " 'width': 64, 'height': 64,\n", " 'filter': {'type': 'tent'}\n", " }\n", " }))\n" ] }, { "cell_type": "markdown", "id": "bddf2808-6b4f-49a8-b3c2-3d390c17e406", "metadata": {}, "source": [ "## Rendering synthetic reference images\n", "\n", "We will now setup a simple scene with a constant environment illumination and a reference volume placed at the origin. The heterogenous volume is instantiated inside of a cube. We assign the `null` BSDF to the cube's surface, since we do not want the cube's surface to interact with light in any way (i.e., the surface should be invisible). To learn more about volume rendering in Mitsuba, please refer to the [plugin documentation][1].\n", "\n", "We then render this scene using the previously created sensors and store the resulting images in a list for later use.\n", "\n", "\n", "[1]: https://mitsuba.readthedocs.io/en/latest/src/generated/plugins_media.html#heterogeneous-medium-heterogeneous" ] }, { "cell_type": "code", "execution_count": 3, "id": "021d2244-3224-4da5-a453-328920b8c550", "metadata": {}, "outputs": [], "source": [ "scene_dict = {\n", " 'type': 'scene',\n", " 'integrator': {'type': 'prbvolpath'},\n", " 'object': {\n", " 'type': 'cube',\n", " 'bsdf': {'type': 'null'},\n", " 'interior': {\n", " 'type': 'heterogeneous',\n", " 'sigma_t': {\n", " 'type': 'gridvolume',\n", " 'filename': '../scenes/volume.vol',\n", " 'to_world': T().rotate([1, 0, 0], -90).scale(2).translate(-0.5)\n", " },\n", " 'scale': 40\n", " }\n", " },\n", " 'emitter': {'type': 'constant'}\n", "}\n", "\n", "scene_ref = mi.load_dict(scene_dict)\n", "\n", "# Number of samples per pixel for reference images\n", "ref_spp = 512" ] }, { "cell_type": "code", "execution_count": 4, "id": "ffd5b53a-5c17-437a-83d2-6712bbfe1d86", "metadata": { "nbsphinx": "hidden", "tags": [] }, "outputs": [], "source": [ "# IGNORE THIS: When running under pytest, adjust parameters to reduce computation time\n", "import os\n", "if 'PYTEST_CURRENT_TEST' in os.environ:\n", " ref_spp = 2" ] }, { "cell_type": "code", "execution_count": 5, "id": "16008559-86a3-4b9f-80e2-c28ccb5aac37", "metadata": {}, "outputs": [], "source": [ "ref_images = [mi.render(scene_ref, sensor=sensors[i], spp=ref_spp) for i in range(sensor_count)]" ] }, { "cell_type": "code", "execution_count": 6, "id": "142d1dd5-6693-4030-a942-35ff70b7b826", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, sensor_count, figsize=(14, 4))\n", "for i in range(sensor_count):\n", " axs[i].imshow(mi.util.convert_to_bitmap(ref_images[i]))\n", " axs[i].axis('off')" ] }, { "cell_type": "markdown", "id": "825f10c4-265e-4f53-9515-7688b142c2db", "metadata": {}, "source": [ "## Setting up the optimization scene\n", "Our goal is now to optimize a 3D volume density (also called extinction) to match the previously generated reference images. For this we create a second scene, where we replace the reference volume by a simple uniform initialization. \n", "\n", "To initialize a volume grid from Python, we use the [VolumeGrid][2] object in conjunction with [TensorXf][3]. The `VolumeGrid` class is responsible for loading and writing volumes from disk, similar to the `Bitmap` class for images. Using the `grid` property of the [gridvolume][4] plugin, it is possible to pass it directly to the plugin constructor in Python.\n", "\n", "We initialize the extinction `sigma_t` to a low constant value, (e.g. `0.002`). This tends to help the optimization process, as it seems to be easier for the optimizer to increase the volume density rather than remove parts of a very dense volume. \n", "\n", "Note that we use a fairly small initial volume resolution here. This is done on purpose since we will upsample the volume grid during the actual optimization process. As explained later, this typically improves the convexity of the volume optimization problem.\n", "\n", "[1]: https://mitsuba.readthedocs.io/en/latest/src/generated/plugins_media.html#heterogeneous-medium-heterogeneous\n", "[2]: https://mitsuba.readthedocs.io/en/latest/src/api_reference.html#mitsuba.VolumeGrid\n", "[3]: https://mitsuba.readthedocs.io/en/latest/src/api_reference.html#mitsuba.TensorXf\n", "[4]: https://mitsuba.readthedocs.io/en/latest/src/generated/plugins_media.html#grid-based-volume-data-source-gridvolume" ] }, { "cell_type": "code", "execution_count": 7, "id": "82313a97-a314-43a3-8a4b-f4e32305f1a2", "metadata": {}, "outputs": [], "source": [ "v_res = 16\n", "\n", "# Modify the scene dictionary\n", "scene_dict['object'] = {\n", " 'type': 'cube',\n", " 'interior': {\n", " 'type': 'heterogeneous',\n", " 'sigma_t': {\n", " 'type': 'gridvolume',\n", " 'grid': mi.VolumeGrid(dr.full(mi.TensorXf, 0.002, (v_res, v_res, v_res, 1))),\n", " 'to_world': T().translate(-1).scale(2.0)\n", " },\n", " 'scale': 40.0,\n", " },\n", " 'bsdf': {'type': 'null'}\n", "}\n", "\n", "scene = mi.load_dict(scene_dict)" ] }, { "cell_type": "markdown", "id": "5890a714-a81c-4f37-bc9f-7ec2e4335a6a", "metadata": {}, "source": [ "We load the modified scene and render it for all view angles. Those are going to be our initial image in the optimization process." ] }, { "cell_type": "code", "execution_count": 8, "id": "91050ab4-91ac-413b-89c0-959d024498e0", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "init_images = [mi.render(scene, sensor=sensors[i], spp=ref_spp) for i in range(sensor_count)]\n", "\n", "fig, axs = plt.subplots(1, sensor_count, figsize=(14, 4))\n", "for i in range(sensor_count):\n", " axs[i].imshow(mi.util.convert_to_bitmap(init_images[i]))\n", " axs[i].axis('off')" ] }, { "cell_type": "markdown", "id": "3a1cf830-9ad3-4bd7-98ca-3840e3179378", "metadata": {}, "source": [ "## Optimization\n", "\n", "We instantiate an `Adam` optimizer and load the `sigma_t` grid data as parameter to be optimized." ] }, { "cell_type": "code", "execution_count": 9, "id": "41f4e964-c5f9-4d7d-81d3-e8669bf153c0", "metadata": {}, "outputs": [], "source": [ "params = mi.traverse(scene)\n", "\n", "key = 'object.interior_medium.sigma_t.data'\n", "\n", "opt = mi.ad.Adam(lr=0.02)\n", "opt[key] = params[key]\n", "params.update(opt);\n", "\n", "iteration_count = 20\n", "spp = 8" ] }, { "cell_type": "code", "execution_count": 10, "id": "963d312f-e883-4e37-ad42-b93c360e51fd", "metadata": { "nbsphinx": "hidden", "tags": [] }, "outputs": [], "source": [ "# IGNORE THIS: When running under pytest, adjust parameters to reduce computation time\n", "import os\n", "if 'PYTEST_CURRENT_TEST' in os.environ:\n", " iteration_count = 2\n", " spp = 1" ] }, { "cell_type": "markdown", "id": "210af9ef-b720-4d60-842a-88daa316db9f", "metadata": {}, "source": [ "We then run the optimization loop for a few iterations, similar to the other tutorials." ] }, { "cell_type": "code", "execution_count": 11, "id": "4af17b50-c809-472e-a55d-4b1589a5e84a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 19: error=0.0446167\r" ] } ], "source": [ "for it in range(iteration_count):\n", " total_loss = 0.0\n", " for sensor_idx in range(sensor_count):\n", " # Perform the differentiable light transport simulation\n", " img = mi.render(scene, params, sensor=sensors[sensor_idx], spp=spp, seed=it)\n", " \n", " # L2 loss function\n", " loss = dr.mean(dr.square(img - ref_images[sensor_idx]))\n", " \n", " # Backpropagate gradients\n", " dr.backward(loss)\n", "\n", " # Take a gradient step\n", " opt.step()\n", " \n", " # Clamp the optimized density values. Since we used the `scale` parameter \n", " # when instantiating the volume, we are in fact optimizing extinction \n", " # in a range from [1e-6 * scale, scale].\n", " opt[key] = dr.clip(opt[key], 1e-6, 1.0)\n", " \n", " # Propagate changes to the scene\n", " params.update(opt)\n", " \n", " total_loss += loss\n", " print(f\"Iteration {it:02d}: error={total_loss}\", end='\\r')" ] }, { "cell_type": "markdown", "id": "f046cdc9-572e-43a1-b281-3ae65a29097e", "metadata": {}, "source": [ "## Intermediate results\n", "\n", "We have only performed a few iterations so far and can take a look at the current results." ] }, { "cell_type": "code", "execution_count": 12, "id": "74c3bf2f-21f7-4635-8fce-261a70cd5062", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "intermediate_images = [mi.render(scene, sensor=sensors[i], spp=ref_spp) for i in range(sensor_count)]\n", "\n", "fig, axs = plt.subplots(1, sensor_count, figsize=(14, 4))\n", "for i in range(sensor_count):\n", " axs[i].imshow(mi.util.convert_to_bitmap(intermediate_images[i]))\n", " axs[i].axis('off')" ] }, { "cell_type": "markdown", "id": "c597b6e9-ca45-441b-ab6d-9bea4f35d329", "metadata": {}, "source": [ "## Volume upsampling\n", "\n", "The results above don't look great. One reason is the low resolution of the optimized volume grid. Let's try to increase the resolution of the current grid and continue the optimization for a few more iterations. In practice it is almost always beneficial to leverage such a \"multi-resolution\" approach. At low resolution, the optimization will recover the overall shape, exploring a much simpler solution landscape. Moving on to a volume with a higher resolution allows recovering additional detail, while using the coarser solution as a starting point.\n", "\n", "Luckily Dr.Jit provides [dr.upsample()][1], a functions for up-sampling tensor and texture data. We can easily create a higher resolution volume by passing the current optimzed tensor and specifying the desired shape (must be powers of two when upsampling `TensorXf`).\n", "\n", "[1]: https://drjit.readthedocs.io/en/latest/reference.html#drjit.upsample" ] }, { "cell_type": "code", "execution_count": 13, "id": "bbdfe9de-d1b2-4d06-89ed-ce2d93d1c383", "metadata": {}, "outputs": [], "source": [ "opt[key] = dr.upsample(opt[key], shape=(64, 64, 64))\n", "params.update(opt);" ] }, { "cell_type": "markdown", "id": "068b99e7-fb72-4b3f-b166-2d7930daf86d", "metadata": {}, "source": [ "Rendering the new, upsampled volume we can already notice a slight difference in the apparent sharpness. This is due to the *trilinear* interpolation of density values that is used by the volumetric path tracer." ] }, { "cell_type": "code", "execution_count": 14, "id": "352c5176-ded0-4d13-8996-5d4dbe006c3b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "upscale_images = [mi.render(scene, sensor=sensors[i], spp=ref_spp) for i in range(sensor_count)]\n", "\n", "fig, axs = plt.subplots(1, sensor_count, figsize=(14, 4))\n", "for i in range(sensor_count):\n", " axs[i].imshow(mi.util.convert_to_bitmap(upscale_images[i]))\n", " axs[i].axis('off')" ] }, { "cell_type": "markdown", "id": "a86592e8-a87c-497f-8c94-297cfbe06ad5", "metadata": {}, "source": [ "## Continuing the optimization\n", "\n", "Let's now run our optimization loop for a few more iterations with the upscaled volume grid.\n", "\n", "
\n", "\n", "🗒 **Note**\n", " \n", "The optimizer automatically resets the internal state (e.g., momentum) associated to the optimized variable when it detects a size change.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 15, "id": "7c8b4e1b-a280-4178-8935-dd5c636aa846", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 19: error=0.01756774\r" ] } ], "source": [ "for it in range(iteration_count):\n", " total_loss = 0.0\n", " for sensor_idx in range(sensor_count):\n", " img = mi.render(scene, params, sensor=sensors[sensor_idx], spp=8*spp, seed=it)\n", " loss = dr.mean(dr.square(img - ref_images[sensor_idx]))\n", " dr.backward(loss)\n", " opt.step()\n", " opt[key] = dr.clip(opt[key], 1e-6, 1.0)\n", " params.update(opt)\n", " total_loss += loss\n", " print(f\"Iteration {it:02d}: error={total_loss}\", end='\\r')" ] }, { "cell_type": "markdown", "id": "725e9980-f9c5-416a-a1f1-896e5942716d", "metadata": {}, "source": [ "## Final results\n", "\n", "Finally we can render the final volume from the different view points and compare the images to the reference images." ] }, { "cell_type": "code", "execution_count": 16, "id": "57383d4d-780f-4824-a679-5021ca6d6a19", "metadata": { "nbsphinx-thumbnail": {}, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "final_images = [mi.render(scene, sensor=sensors[i], spp=ref_spp) for i in range(sensor_count)]\n", "\n", "fig, axs = plt.subplots(2, sensor_count, figsize=(14, 6))\n", "for i in range(sensor_count):\n", " axs[0][i].imshow(mi.util.convert_to_bitmap(ref_images[i]))\n", " axs[0][i].axis('off')\n", " axs[1][i].imshow(mi.util.convert_to_bitmap(final_images[i]))\n", " axs[1][i].axis('off')" ] }, { "cell_type": "markdown", "id": "c34cf18c-75c6-4280-a69d-6467023e8cac", "metadata": {}, "source": [ "Of course the results could be further improved by taking more iterations or adopting other advanced optimization schemes, such as multi-resolution rendering where the rendering resolution is increased throughout the optimization process. Additionally, it can sometimes be beneficial to add a sparsity (e.g., an $L_1$ loss on the density values) or smoothness prior (e.g., a total variation regularizer penalizing differences between neighboring voxels).\n", "\n" ] }, { "cell_type": "markdown", "id": "f4473987-40c1-4d8a-b133-fc8d7e319420", "metadata": {}, "source": [ "## See also\n", "\n", "- [prbvolpath plugin](https://mitsuba.readthedocs.io/en/latest/src/generated/plugins_integrators.html#path-replay-backpropagation-volumetric-integrator-prbvolpath)\n", "- [heterogeneous plugin](https://mitsuba.readthedocs.io/en/latest/src/generated/plugins_media.html#heterogeneous-medium-heterogeneous)\n", "- [gridvolume plugin](https://mitsuba.readthedocs.io/en/latest/src/generated/plugins_media.html#grid-based-volume-data-source-gridvolume)\n", "- [mitsuba.VolumeGrid](https://mitsuba.readthedocs.io/en/latest/src/api_reference.html#mitsuba.VolumeGrid)\n", "- [mitsuba.TensorXf](https://mitsuba.readthedocs.io/en/latest/src/api_reference.html#mitsuba.TensorXf)\n", "- [dr.upsample](https://drjit.readthedocs.io/en/latest/reference.html#drjit.upsample)" ] } ], "metadata": { "interpreter": { "hash": "afd680236861e4ad68138f9ddf1f8bff806918beb77b7f0c16179efa24869fce" }, "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": "3.10.4" } }, "nbformat": 4, "nbformat_minor": 5 }