@thi.ng/geom-voronoi

@thi.ng/geom-voronoi

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[!NOTE] This is one of 190 standalone projects, maintained as part of the @thi.ng/umbrella monorepo and anti-framework.

🚀 Please help me to work full-time on these projects by sponsoring me on GitHub. Thank you! ❤️

About

Fast, incremental 2D Delaunay & Voronoi mesh implementation, based on the @thi.ng/quad-edge data structure after Guibas & Stolfi and partially ported from C++ versions by Dani Lischinski, Paul Heckbert et al:

References:

Construction speed: 20k random points (poisson disc samples, even distribution) in ~850ms (Chrome 72, MBP 2016)

Status

STABLE - used in production

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Related packages

Installation

yarn add @thi.ng/geom-voronoi

ES module import:

<script type="module" src="https://cdn.skypack.dev/@thi.ng/geom-voronoi"></script>

Skypack documentation

For Node.js REPL:

const geomVoronoi = await import("@thi.ng/geom-voronoi");

Package sizes (brotli'd, pre-treeshake): ESM: 1.45 KB

Dependencies

Usage examples

Several projects in this repo's /examples directory are using this package:

ScreenshotDescriptionLive demoSource
Poisson-disk shape-aware sampling, Voronoi & Minimum Spanning Tree visualizationDemoSource
Quasi-random lattice generatorDemoSource
Animated Voronoi diagram, cubic splines & SVG downloadDemoSource

API

Generated API docs

example screenshot

import * as g from "@thi.ng/geom";
import { DVMesh } from "@thi.ng/geom-voronoi";
import { repeatedly } from "@thi.ng/transducers";
import { randNorm2 } from "@thi.ng/vectors";

const pts = [...repeatedly(() => randNorm2([], Math.random() * 250), 1000)];

const mesh = new DVMesh(pts);

// raw polygons of primary or dual mesh
mesh.delaunay()
mesh.voronoi()

// ...or clipped & filtered polygons within convex polygon boundary
const bounds = g.vertices(g.center(g.rect(500)));
// [ [ -250, -250 ], [ 250, -250 ], [ 250, 250 ], [ -250, 250 ] ]

const cells = mesh.voronoi(bounds);

document.body.innerHtml = g.asSvg(
g.svgDoc({ fill: "none", "stroke-width": 0.25 },
g.group({ stroke: "blue" }, mesh.delaunay(bounds).map((p) => g.polygon(p))),
g.group({ stroke: "red" }, mesh.voronoi(bounds).map((p) => g.polygon(p)))
)
);

Authors

If this project contributes to an academic publication, please cite it as:

@misc{thing-geom-voronoi,
title = "@thi.ng/geom-voronoi",
author = "Karsten Schmidt",
note = "https://thi.ng/geom-voronoi",
year = 2016
}

License

© 2016 - 2024 Karsten Schmidt // Apache License 2.0

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