English

Visibility in Proximal Delaunay Meshes

Metric Geometry 2015-01-13 v1 Computational Geometry

Abstract

This paper introduces a visibility relation vv (and the strong visibility relation v\doublewedge\mathop{v}\limits^{\doublewedge}) on proximal Delaunay meshes. A main result in this paper is that the visibility relation vv is equivalent to Wallman proximity. In addition, a Delaunay triangulation region endowed with the visibility relation vv has a local Leader uniform topology.

Cite

@article{arxiv.1501.02357,
  title  = {Visibility in Proximal Delaunay Meshes},
  author = {James F. Peters},
  journal= {arXiv preprint arXiv:1501.02357},
  year   = {2015}
}

Comments

6 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1411.6260

R2 v1 2026-06-22T07:57:12.544Z