A solution to Sheil-Small's harmonic mapping problem for Jordan polygons

2013/02/22 by Bshouty, Daoud, Lundberg, Erik, Weitsman, Allen · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1302.5727

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.

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