On the injectivity of mean value mappings between quadrilaterals

Published 29 Jun 2024 in math.NA and cs.NA | (2407.00422v2)

Abstract: Mean value coordinates can be used to map one polygon into another, with application to computer graphics and curve and surface modelling. In this paper we show that if the polygons are quadrilaterals, and if the target quadrilateral is convex, then the mapping is injective.

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