Discrete channel surfaces
Differential Geometry
2019-09-20 v1
Abstract
We present a definition of discrete channel surfaces in Lie sphere geometry, which reflects several properties for smooth channel surfaces. Various sets of data, defined at vertices, on edges or on faces, are associated with a discrete channel surface that may be used to reconstruct the underlying particular discrete Legendre map. As an application we investigate isothermic discrete channel surfaces and prove a discrete version of Vessiot's Theorem.
Keywords
Cite
@article{arxiv.1809.01750,
title = {Discrete channel surfaces},
author = {Udo Hertrich-Jeromin and Wayne Rossman and Gudrun Szewieczek},
journal= {arXiv preprint arXiv:1809.01750},
year = {2019}
}
Comments
21 pages