arXiv Open Access 2019

Existence of a Convex Polyhedron with Respect to the Given Radii

Supanut Chaidee Kokichi Sugihara

Lihat Sumber

Abstrak

Given a set of radii measured from a fixed point, the existence of a convex configuration with respect to the set of distinct radii in the two-dimensional case is proved when radii are distinct or repeated at most four points. However, we proved that there always exists a convex configuration in the three-dimensional case. In the application, we can imply the existence of the non-empty spherical Laguerre Voronoi diagram.

Topik & Kata Kunci

cs.CG

Penulis (2)

Supanut Chaidee

Kokichi Sugihara

Format Sitasi

APA MLA BibTeX

Chaidee, S., Sugihara, K. (2019). Existence of a Convex Polyhedron with Respect to the Given Radii. https://arxiv.org/abs/1906.07919

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓