{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Sample Representation" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import torch\n", "from pyrad.cameras import cameras\n", "from pyrad.utils import plotly as vis\n", "import plotly.graph_objects as go\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A core component of volumetric rendering is computing samples along a ray. The representation of these samples is important. We use conical frustums to represent samples. The conical frustums are defined via the following parameters:\n", "\n", "\"Frustums" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "teal", "width": 1 }, "mode": "lines", "name": "Ray Bundle", "type": "scatter3d", "x": [ 0, -0.4402044117450714, 0, -0.1481594443321228, 0, 0.1481594443321228, 0, 0.4402044117450714, 0, -0.4444783329963684, 0, -0.14962640404701233, 0, 0.14962640404701233, 0, 0.4444783329963684, 0, -0.4444783329963684, 0, -0.14962640404701233, 0, 0.14962640404701233, 0, 0.4444783329963684, 0, -0.4402044117450714, 0, -0.1481594443321228, 0, 0.1481594443321228, 0, 0.4402044117450714 ], "y": [ 0, 0.4402044117450714, 0, 0.4444783329963684, 0, 0.4444783329963684, 0, 0.4402044117450714, 0, 0.1481594443321228, 0, 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"Frustums" } } }, "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cx = 2\n", "cy = 2\n", "fx = 10\n", "fy = 10\n", "\n", "num_samples = 3\n", "near_plane = 1\n", "far_plane = 3\n", "\n", "camera = cameras.PinholeCamera(cx, cy, fx, fy)\n", "ray_bundle = camera.get_camera_ray_bundle()\n", "\n", "bins = torch.linspace(near_plane, far_plane, num_samples + 1)[..., None]\n", "ray_samples = ray_bundle.get_ray_samples(bin_starts=bins[:-1, :], bin_ends=bins[1:, :])\n", "\n", "vis_rays = vis.get_ray_bundle_lines(ray_bundle, color=\"teal\", length=far_plane)\n", "\n", "fig = go.Figure(\n", " data=[vis_rays] + vis.get_frustums_mesh_list(ray_samples.frustums),\n", " layout=go.Layout(scene_camera=dict(up=dict(x=0, y=1, z=0)), title=\"Frustums\"),\n", ")\n", "fig.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These frustums can be converted into point samples using `frustum.get_positions()`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = go.Figure(\n", " data=[vis_rays, vis.get_frustum_points(ray_samples.frustums)],\n", " layout=go.Layout(scene_camera=dict(up=dict(x=0, y=1, z=0)), title=\"Frustums as Points\"),\n", ")\n", "fig.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also appoximate the frustums using Gaussians with `frustum.get_gaussian_blob()`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "teal", "width": 1 }, "mode": "lines", "name": "Ray Bundle", "type": "scatter3d", "x": [ 0, -0.4402044117450714, 0, -0.1481594443321228, 0, 0.1481594443321228, 0, 0.4402044117450714, 0, -0.4444783329963684, 0, -0.14962640404701233, 0, 0.14962640404701233, 0, 0.4444783329963684, 0, -0.4444783329963684, 0, -0.14962640404701233, 0, 0.14962640404701233, 0, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = go.Figure(\n", " data=[vis_rays] + vis.get_frustums_gaussian_list(ray_samples.frustums),\n", " layout=go.Layout(scene_camera=dict(up=dict(x=0, y=1, z=0)), title=\"Frustums as Gaussians\"),\n", ")\n", "fig.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.8.12 ('pyrad')", "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": "3.8.12" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "41f62990c6e03ccb48eec29860b83c64e20fcd45204ae5014afab6809cd6f1f1" } } }, "nbformat": 4, "nbformat_minor": 2 }