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This is a package for constructing Delaunay triangulations and Voronoi tessellations of planar point sets. Supports unconstrained and constrained triangulations, mesh refinement, Voronoi tessellations, and clipped and centroidal Voronoi tessellations. All geometric predicates are computed via [ExactPredicates.jl](https://github.com/lairez/ExactPredicates.jl). Many features are available, some of these being:
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-[Geometric predicates](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/predicates/) are implemented with [ExactPredicates.jl](https://github.com/lairez/ExactPredicates.jl), and many predicates have been extended from ExactPredicates.jl.
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-[Unconstrained](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/triangulations/unconstrained/) and [constrained](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/triangulations/constrained/) triangulations. Support is provided for many types of domains, as given in the docs.
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-[Computation of Voronoi tessellations](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/tessellations/voronoi/), including [clipping of polygons to the convex hull](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/tessellations/clipped/). I hope to get this working for constrained triangulations, but it's difficult.
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- Computation of [centroidal Voronoi tessellations](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/tessellations/lloyd/) using Lloyd's algorithm.
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-[Mesh refinement](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/triangulations/refinement/), with support for custom angle and area constraints.
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-[Geometric predicates](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/predicates/) are implemented with [ExactPredicates.jl](https://github.com/lairez/ExactPredicates.jl), and many predicates have been extended from ExactPredicates.jl.
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- Dynamic point insertion, point deletion, and segment insertion, amongst many other [operations](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/operations/).
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- Computation of convex hulls, either [from the triangulation itself](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/data_structures/convex_hull/) or using [the monotone chain algorithm](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/other_features/convex_hull/).
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-[Triangulation of convex polygons](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/tri_algs/convex/).
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-[Fully customisable interface](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/interface/interface/) for defining geometric primitives.
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-[Simple iteration over mesh elements, including points, edges, or triangles](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/data_structures/triangulation/).
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- Computation of [statistics](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/data_structures/statistics/) over individual triangular elements and over a complete triangulation.
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-[Computation of Voronoi tessellations](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/tessellations/voronoi/), including [clipping of polygons to the convex hull](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/tessellations/clipped/). I hope to get this working for constrained triangulations, but it's difficult.
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- Computation of [centroidal Voronoi tessellations](https://danielvandh.github.io/DelaunayTriangulation.jl/dev/tessellations/lloyd/) using Lloyd's algorithm.
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Much of the work in this package is derived from the book *Delaunay Mesh Generation* by Cheng, Dey, and Shewchuk (2013). Feel free to use the issues tab for any suggestions, feedback, or if you have any questions about using the package, internals, etc.
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