{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# SDF Utilities\n", "\n", "`isoext.sdf` provides **optional** utilities for working with signed distance functions. These are convenient for testing and demos, but you can always compute values with your own code.\n", "\n", "**Note:** These utilities are not required — see [Working with Grids](grids.ipynb) for examples using raw PyTorch.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import isoext\n", "from isoext.sdf import *\n", "from _viz import show_mesh\n", "\n", "grid = isoext.UniformGrid([128, 128, 128])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Primitives\n", "\n", "### SphereSDF\n", "```python\n", "SphereSDF(radius: float)\n", "```\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0m\u001b[33m2025-12-30 01:10:13.373 ( 0.446s) [ 7676C8F11740]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": [ "sphere = SphereSDF(radius=0.7)\n", "grid.set_values(sphere(grid.get_points()))\n", "v, f = isoext.marching_cubes(grid)\n", "show_mesh(v, f)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TorusSDF\n", "```python\n", "TorusSDF(R: float, r: float) # R=major radius, r=tube radius\n", "```\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "torus = TorusSDF(R=0.6, r=0.2)\n", "grid.set_values(torus(grid.get_points()))\n", "v, f = isoext.marching_cubes(grid)\n", "show_mesh(v, f, color=\"gold\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### CuboidSDF\n", "```python\n", "CuboidSDF(size: list[float]) # Full size in [x, y, z]\n", "```\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cube = CuboidSDF(size=[1.0, 1.0, 1.0])\n", "grid.set_values(cube(grid.get_points()))\n", "v, f = isoext.marching_cubes(grid)\n", "show_mesh(v, f, color=\"salmon\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CSG Operations\n", "\n", "Combine shapes using Constructive Solid Geometry:\n", "\n", "| Operation | Description |\n", "|-----------|-------------|\n", "| `UnionOp([...])` | Combine shapes (min of SDFs) |\n", "| `IntersectionOp([...])` | Keep overlap (max of SDFs) |\n", "| `NegationOp(sdf)` | Invert inside/outside |\n", "| `SmoothUnionOp([...], k)` | Smooth blend with radius k |\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Sphere with a hole drilled through it\n", "sphere = SphereSDF(radius=0.7)\n", "hole = CuboidSDF(size=[0.3, 0.3, 2.0])\n", "drilled = IntersectionOp([sphere, NegationOp(hole)])\n", "\n", "grid.set_values(drilled(grid.get_points()))\n", "v, f = isoext.marching_cubes(grid)\n", "show_mesh(v, f, color=\"orchid\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transformations\n", "\n", "| Transform | Description |\n", "|-----------|-------------|\n", "| `TranslationOp(sdf, offset)` | Move by `[x, y, z]` |\n", "| `RotationOp(sdf, axis, angle)` | Rotate around axis (degrees by default) |\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Two spheres with smooth blending\n", "s1 = TranslationOp(SphereSDF(radius=0.4), offset=[-0.3, 0, 0])\n", "s2 = TranslationOp(SphereSDF(radius=0.4), offset=[0.3, 0, 0])\n", "blended = SmoothUnionOp([s1, s2], k=0.15)\n", "\n", "grid.set_values(blended(grid.get_points()))\n", "v, f = isoext.marching_cubes(grid)\n", "show_mesh(v, f, color=\"tomato\")\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 }