{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Working with Occupancy Grids\n",
    "\n",
    "While isoext is designed for signed distance fields (SDFs), you can also extract surfaces from **binary occupancy grids**—voxel grids where each cell is either occupied (1) or empty (0).\n",
    "\n",
    "This is useful when:\n",
    "- You have voxelized data from 3D scanning or segmentation\n",
    "- Your data comes from a boolean CSG operation\n",
    "- You want to convert a mesh to voxels and back\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running cmake --build & --install in /home/gcnick/Documents/code/isoext/build/cp312-abi3-linux_x86_64\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "import isoext\n",
    "from isoext.sdf import SphereSDF\n",
    "from _viz import show_mesh\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Creating an Occupancy Grid\n",
    "\n",
    "Let's create a binary occupancy grid from a sphere SDF. Values > 0 are outside, so we threshold to get a binary mask:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Occupancy values: [0.0, 1.0]\n"
     ]
    }
   ],
   "source": [
    "# Create a grid and compute sphere SDF\n",
    "grid = isoext.UniformGrid([64, 64, 64])\n",
    "sdf_values = SphereSDF(radius=0.7)(grid.get_points())\n",
    "\n",
    "# Convert to binary occupancy: 0 = outside, 1 = inside\n",
    "occupancy = (sdf_values < 0.0).float()\n",
    "\n",
    "print(f\"Occupancy values: {occupancy.unique().tolist()}\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Direct Extraction (Jagged Result)\n",
    "\n",
    "You can run marching cubes directly on the binary grid using `level=0.5` (the boundary between 0 and 1). However, the result will be **jagged** because there's no gradient information—every surface point lands exactly on a voxel face:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Jagged mesh: 9168 vertices, 18332 faces\n"
     ]
    },
    {
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",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=600x400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "grid.set_values(occupancy)\n",
    "v_jagged, f_jagged = isoext.marching_cubes(grid, level=0.5)\n",
    "\n",
    "print(f\"Jagged mesh: {v_jagged.shape[0]} vertices, {f_jagged.shape[0]} faces\")\n",
    "show_mesh(v_jagged, f_jagged, smooth_shading=False)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Smoothed Extraction\n",
    "\n",
    "To get a smoother result, apply **Gaussian smoothing** before extraction. This blurs the sharp 0/1 transitions into gradual gradients, allowing marching cubes to interpolate vertex positions:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Smooth mesh: 8232 vertices, 16460 faces\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=600x400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Smooth the occupancy grid\n",
    "smoothed = isoext.gaussian_smooth(occupancy, sigma=5.0)\n",
    "grid.set_values(smoothed)\n",
    "v_smooth, f_smooth = isoext.marching_cubes(grid, level=0.5)\n",
    "\n",
    "print(f\"Smooth mesh: {v_smooth.shape[0]} vertices, {f_smooth.shape[0]} faces\")\n",
    "show_mesh(v_smooth, f_smooth)\n"
   ]
  }
 ],
 "metadata": {
  "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": "3.12.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}