Visibility in Proximal Delaunay Meshes

Abstract

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

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

References in corpus (1)

• Proximal Voronoï Regions

Cited by in corpus (2)

• Strongly Hit and Far Miss Hypertopology and Hit and Strongly Far Miss Hypertopology
• Strongly near proximity \& hyperspace topology