A solution to Sheil-Small's harmonic mapping problem for Jordan polygons
Complex Variables
2013-02-26 v1
Abstract
The problem of mapping the interior of a Jordan polygon univalently by the Poisson integral of a step function was posed by T. Sheil-Small (1989). We describe a simple solution using "ear clipping" from computational geometry.
Cite
@article{arxiv.1302.5727,
title = {A solution to Sheil-Small's harmonic mapping problem for Jordan polygons},
author = {Daoud Bshouty and Erik Lundberg and Allen Weitsman},
journal= {arXiv preprint arXiv:1302.5727},
year = {2013}
}
Comments
8 pages, 2 figures