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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Spatial Distortions"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"nbsphinx": "hidden"
},
"outputs": [
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"data": {
"text/html": [
" \n",
" "
]
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"output_type": "display_data"
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"source": [
"from pyrad.cameras.rays import Frustums\n",
"from pyrad.fields.modules.spatial_distortions import SceneContraction\n",
"from pyrad.utils import plotly as vis\n",
"import torch\n",
"import plotly.graph_objects as go\n",
"from plotly.offline import iplot, init_notebook_mode\n",
"\n",
"init_notebook_mode()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Scene Contraction\n",
"\n",
"Contract unbounded space into a sphere of radius 2. This contraction was proposed in [MipNeRF-360](https://jonbarron.info/mipnerf360/).\n",
" \n",
"We use the following contraction equation:\n",
"\n",
"$$\n",
" f(x) = \\begin{cases}\n",
" x & ||x|| \\leq 1 \\\\\n",
" (2 - \\frac{1}{||x||})(\\frac{x}{||x||}) & ||x|| > 1\n",
" \\end{cases}\n",
"$$\n",
"\n",
"Below we visualize a ray before and after scene contraction. Visualized are 95% confidence intervals for the multivariate Gaussians for each sample location. We are also visualizing both a unit sphere and a radius 2 sphere."
]
},
{
"cell_type": "code",
"execution_count": 18,
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"gridcolor": "white",
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"ticks": "",
"title": {
"standoff": 15
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},
"title": {
"text": "Before Contraction"
}
}
},
"text/html": [
"