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Delaunay and Voronoï tessellations with R, with emphasis on the 3D case.

Home Page: https://stla.github.io/tessellation/

C 78.93% C++ 2.79% R 18.22% CSS 0.07%
r delaunay-triangulation voronoi-tessellation c

tessellation's Introduction

tessellation

R-CMD-check

To install the development version, run:

remotes::install_github("stla/tessellation", dependencies = TRUE)

I did a vignette but it was too big for the CRAN submission. So I used pkgdown, and you can find the vignette here.

Delaunay and Voronoï tessellations.

The Voronoï cell of a point inside the Utah teapot:

The Voronoï diagram (restricted to its bounded cells) of a cube surrounded by three perpendicular circles:

The Voronoï diagram (restricted to its bounded cells) of a dodecahedron surrounded by three perpendicular circles:

A strange Voronoï cell:

The Voronoï diagram of some points along a Fermat spiral:

The Voronoï diagram of an enclosed septuaginta:

An elevated Delaunay tessellation:

tessellation's People

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tessellation's Issues

Request for area and volume calculations

It is possible to include an output for the surface area and volume of the convex 3D hull of a Voronoi cell? That could be very useful, for example, in astronomy, where the inverse of the Voronoi cell volume is a proxy for the local density.

Thanks.

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