{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Working with Grids\n", "\n", "Grids are the foundation of iso-surface extraction. They define **where** in 3D space we sample scalar values, and **store** those values for the extraction algorithms.\n", "\n", "`isoext` provides two grid types:\n", "- **UniformGrid** — Dense regular lattice, simple and fast\n", "- **SparseGrid** — Only stores active cells, memory-efficient for large sparse domains\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import torch\n", "import isoext\n", "from _viz import show_mesh\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## UniformGrid\n", "\n", "A `UniformGrid` divides a 3D bounding box into a regular lattice of cells.\n", "\n", "### Creating a Grid\n", "\n", "```python\n", "UniformGrid(shape, aabb_min=[-1,-1,-1], aabb_max=[1,1,1])\n", "```\n", "\n", "- `shape`: Number of cells in each dimension `[nx, ny, nz]`\n", "- `aabb_min` / `aabb_max`: Axis-aligned bounding box corners\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cells: 250,047\n", "Points: 262,144\n" ] } ], "source": [ "# Create a 64³ grid spanning [-1, 1]³ (default bounds)\n", "grid = isoext.UniformGrid([64, 64, 64])\n", "\n", "print(f\"Cells: {grid.get_num_cells():,}\")\n", "print(f\"Points: {grid.get_num_points():,}\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Getting Point Positions\n", "\n", "`get_points()` returns the 3D coordinates of all grid points as a PyTorch tensor. This is essential for computing your scalar field values.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape: torch.Size([64, 64, 64, 3])\n", "Device: cuda:0\n", "Dtype: torch.float32\n", "\n", "Min corner: tensor([-1., -1., -1.], device='cuda:0')\n", "Max corner: tensor([1., 1., 1.], device='cuda:0')\n" ] } ], "source": [ "points = grid.get_points()\n", "\n", "print(f\"Shape: {points.shape}\") # (nx, ny, nz, 3)\n", "print(f\"Device: {points.device}\")\n", "print(f\"Dtype: {points.dtype}\")\n", "\n", "# Points range from aabb_min to aabb_max\n", "print(f\"\\nMin corner: {points[0, 0, 0]}\")\n", "print(f\"Max corner: {points[-1, -1, -1]}\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting Values\n", "\n", "`set_values()` stores your scalar field on the grid. The values can come from **anywhere** — you're not limited to the built-in SDF utilities.\n", "\n", "The iso-surface is extracted where values equal zero:\n", "- **Negative** values → inside the surface\n", "- **Positive** values → outside the surface\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sphere: 9,168 vertices\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0m\u001b[33m2025-12-30 01:16:08.799 ( 0.585s) [ 78D204087740]vtkXOpenGLRenderWindow.:1458 WARN| bad X server connection. DISPLAY=\u001b[0m\n" ] }, { "data": { "image/jpeg": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example 1: Simple sphere using raw PyTorch\n", "# No SDF classes needed — just compute distance from origin minus radius\n", "points = grid.get_points()\n", "radius = 0.7\n", "values = points.norm(dim=-1) - radius # Signed distance to sphere\n", "\n", "grid.set_values(values)\n", "v, f = isoext.marching_cubes(grid)\n", "print(f\"Sphere: {v.shape[0]:,} vertices\")\n", "show_mesh(v, f)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gyroid: 38,760 vertices\n" ] }, { "data": { "image/jpeg": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example 2: Gyroid — a triply periodic minimal surface\n", "points = grid.get_points()\n", "x, y, z = points[..., 0], points[..., 1], points[..., 2]\n", "scale = 6.0\n", "\n", "gyroid = (\n", " torch.sin(scale * x) * torch.cos(scale * y) +\n", " torch.sin(scale * y) * torch.cos(scale * z) +\n", " torch.sin(scale * z) * torch.cos(scale * x)\n", ")\n", "\n", "grid.set_values(gyroid)\n", "v, f = isoext.marching_cubes(grid)\n", "print(f\"Gyroid: {v.shape[0]:,} vertices\")\n", "show_mesh(v, f, color=\"gold\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using Neural Networks\n", "\n", "Since `get_points()` returns a standard PyTorch tensor on CUDA, you can feed it directly to a neural network:\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Pseudocode for neural SDF extraction:\n", "#\n", "# grid = isoext.UniformGrid([128, 128, 128])\n", "# points = grid.get_points() # (128, 128, 128, 3)\n", "#\n", "# # Reshape for batch processing\n", "# points_flat = points.reshape(-1, 3) # (N, 3)\n", "#\n", "# # Query your neural network\n", "# with torch.no_grad():\n", "# values_flat = model(points_flat) # (N, 1) or (N,)\n", "#\n", "# # Reshape back and set on grid\n", "# values = values_flat.reshape(points.shape[:-1])\n", "# grid.set_values(values)\n", "#\n", "# vertices, faces = isoext.marching_cubes(grid)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SparseGrid\n", "\n", "For large domains where the surface occupies only a small region, `SparseGrid` saves memory by only storing active cells.\n", "\n", "This is useful for:\n", "- High-resolution extraction in large scenes\n", "- Adaptive refinement workflows\n", "- Memory-constrained applications\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initially: 0 active cells\n", "After adding: 1000 active cells\n" ] } ], "source": [ "# Create a sparse grid with the same logical resolution\n", "sparse_grid = isoext.SparseGrid([64, 64, 64])\n", "\n", "print(f\"Initially: {sparse_grid.get_num_cells()} active cells\")\n", "\n", "# Add cells near the surface we want to extract\n", "# Cell indices are linearized: idx = x + y*nx + z*nx*ny\n", "cell_indices = torch.arange(0, 1000, device=\"cuda\", dtype=torch.int32)\n", "sparse_grid.add_cells(cell_indices)\n", "\n", "print(f\"After adding: {sparse_grid.get_num_cells()} active cells\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SparseGrid Workflow\n", "\n", "With `SparseGrid`, you work with cells explicitly:\n", "\n", "1. **Add cells** where you expect the surface\n", "2. **Get points** for those cells\n", "3. **Compute and set values**\n", "4. **Optionally filter** to cells that actually cross the surface\n", "5. **Extract** the mesh\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Processing 10738 chunks\n", "Active cells: 2416778\n", "Extracted: 2,416,776 vertices\n" ] }, { "data": { "image/jpeg": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Complete SparseGrid example\n", "sparse_grid = isoext.SparseGrid([1024, 1024, 1024])\n", "\n", "# For this demo, we'll use get_potential_cell_indices to get all possible cells in chunks\n", "# In practice, you'd use spatial hashing or other methods to find relevant cells\n", "# If you know the active indices, just set them using sparse_grid.add_cells(active)\n", "chunks = sparse_grid.get_potential_cell_indices(100000)\n", "print(f\"Processing {len(chunks)} chunks\")\n", "\n", "for chunk in chunks:\n", " # Get corner positions for these cells\n", " points = sparse_grid.get_points_by_cell_indices(chunk) # (N, 8, 3)\n", " \n", " # Compute values at corners (sphere SDF)\n", " values = points.norm(dim=-1) - 0.7 # (N, 8)\n", " \n", " # Filter to cells that cross the surface (have both + and - values)\n", " active = sparse_grid.filter_cell_indices(chunk, values, level=0.0)\n", " \n", " if active is not None and active.numel() > 0:\n", " sparse_grid.add_cells(active)\n", "\n", "print(f\"Active cells: {sparse_grid.get_num_cells()}\")\n", "\n", "# Recompute values for the cells we're keeping\n", "points = sparse_grid.get_points()\n", "values = points.norm(dim=-1) - 0.7\n", "# Note: set_values expects (num_cells, 8) tensor\n", "# We set values for all currently active cells\n", "sparse_grid.set_values(values)\n", "\n", "v, f = isoext.marching_cubes(sparse_grid)\n", "print(f\"Extracted: {v.shape[0]:,} vertices\")\n", "show_mesh(v, f, color=\"steelblue\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "\n", "**Key points:**\n", "- Use `get_points()` to get coordinates for computing your scalar field\n", "- Values can come from anywhere: math formulas, SDFs, neural networks, simulations\n", "- Negative values = inside, positive = outside, zero = surface\n", "- Use `UniformGrid` for most cases, `SparseGrid` for large sparse domains\n", "\n", "**Next:** [Marching Cubes](marching_cubes.ipynb) or [Dual Contouring](dual_contouring.ipynb)\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 }