nol1fe / delaunator-sharp

Fast Delaunay triangulation of 2D points implemented in C#.
MIT License
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csharp delaunator delaunay-triangulation triangulation unity voronoi

Delaunator C

openupm

Fast Delaunay triangulation of 2D points implemented in C#.

This code was ported from Mapbox's Delaunator project (JavaScript).

Documentation

See https://mapbox.github.io/delaunator/ for more information about the Triangles and Halfedges data structures.

Unity Installation

Simply edit manifest.json file in your Unity Packages directory

{
  "dependencies": {
    "com.nol1fe.delaunator": "https://github.com/nol1fe/delaunator-sharp.git?path=DelaunatorSharp.Unity",
}

Unity Example

From UnityPackage Menager select Delaunator and press "Import into Project".

Burst Triangulator (optional)

For Unity developers seeking even greater performance and advanced triangulation capabilities, consider exploring BurstTriangulator.

Built with Unity's Burst compiler, it offers lightning-fast triangulation, making it ideal for large datasets and real-time applications.

WPF Example

There is available playground in DelaunatorSharp.WPF.Example project that shows examples of drawing Voronoi Diagram, Delaunay triangulation and Convex Hull

Points were generated with Poisson Disc Sampling implemented by UniformPoissonDiskSampler

Performance

BenchmarkDotNet=v0.12.1, OS=Windows 10.0.19043
11th Gen Intel Core i7-11800H 2.30GHz, 1 CPU, 16 logical and 8 physical cores .NET Core SDK=5.0.401
Method Count Type Mean Error StdDev
Delaunator 100000 Uniform 63.66 ms 21.68 ms 14.34 ms
Delaunator 100000 Gaussian 62.07 ms 21.60 ms 14.29 ms
Delaunator 100000 Grid 46.88 ms 18.53 ms 12.25 ms
Delaunator 1000000 Uniform 658.91 ms 41.11 ms 27.19 ms
Delaunator 1000000 Gaussian 680.02 ms 96.03 ms 63.52 ms
Delaunator 1000000 Grid 516.89 ms 60.64 ms 40.11 ms

NuGet

https://www.nuget.org/packages/Delaunator/