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arxiv: 1302.5727 · v1 · pith:V4DLA2ZKnew · submitted 2013-02-22 · 🧮 math.CV

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

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keywords jordanmappingproblemsheil-smallsolutionclippingcomputationaldescribe
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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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