@thi.ng/geom-voronoi NPM

npm downloads

This project is part of the @thi.ng/umbrella monorepo.

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

Search or submit any issues for this package

Related packages

@thi.ng/quad-edge - Quadedge data structure after Guibas & Stolfi

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:

# with flag only for < v16
node --experimental-repl-await

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

Package sizes (gzipped, pre-treeshake): ESM: 1.41 KB

Dependencies

Usage examples

Several demos in this repo's /examples directory are using this package.

A selection:

Screenshot	Description	Live demo	Source
	Poisson-disk shape-aware sampling, Voronoi & Minimum Spanning Tree visualization	Demo	Source
	Animated Voronoi diagram, cubic splines & SVG download	Demo	Source

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

Karsten Schmidt

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

2d bbox clipping datastructure delaunay dual edges geometry graph incremental mesh quadedge typescript voronoi

@thi.ng/api @thi.ng/bitfield @thi.ng/checks @thi.ng/geom-clip-line @thi.ng/geom-clip-poly @thi.ng/geom-isec @thi.ng/geom-poly-utils @thi.ng/math @thi.ng/quad-edge @thi.ng/vectors

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