Approximation of Polyhedral Surface Uniformization
Computational Geometry
2013-01-29 v1 Graphics
Numerical Analysis
Numerical Analysis
Abstract
We present a constructive approach for approximating the conformal map (uniformization) of a polyhedral surface to a canonical domain in the plane. The main tool is a characterization of convex spaces of quasiconformal simplicial maps and their approximation properties. As far as we are aware, this is the first algorithm proved to approximate the uniformization of general polyhedral surfaces.
Cite
@article{arxiv.1301.6336,
title = {Approximation of Polyhedral Surface Uniformization},
author = {Yaron Lipman},
journal= {arXiv preprint arXiv:1301.6336},
year = {2013}
}