English

Orphan-Free Anisotropic Voronoi Diagrams

Computational Geometry 2011-02-18 v1

Abstract

We describe conditions under which an appropriately-defined anisotropic Voronoi diagram of a set of sites in Euclidean space is guaranteed to be composed of connected cells in any number of dimensions. These conditions are natural for problems in optimization and approximation, and algorithms already exist to produce sets of sites that satisfy them.

Keywords

Cite

@article{arxiv.1102.3670,
  title  = {Orphan-Free Anisotropic Voronoi Diagrams},
  author = {Guillermo D. Canas and Steven J. Gortler},
  journal= {arXiv preprint arXiv:1102.3670},
  year   = {2011}
}

Comments

17 pages, 6 figures

R2 v1 2026-06-21T17:28:04.895Z