Abstract There are many good reasons to make a tiling around some discrete set of points. For example, maybe you need to know what regions are served by some set of post offices or cell phone ...

The Voronoi diagram, or Thiessen Polygon maps, or Dirichlet tessellation, is formed when a plane is partitioned into polygons, and each polygon encompasses one generating point. In other words, in a ...

Given a set of N distinct points (generators) in a domain (a bounded subset of Euclidean space or a compact Riemannian manifold), a Voronoi tessellation is a partition of the domain into N regions ...

A 3D Voronoi tessellation is the initial step in developing a finite element model, a computational framework that enables mechanical property testing and analysis for further fungi research.

We define a class of tessellation models based on perturbing or deforming standard tessellations such as the Voronoi tessellation. We show how distributions over this class of 'deformed' tessellations ...