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arXiv · 2407.00422

On the injectivity of mean value mappings between quadrilaterals

Michael S. Floater·Georg Muntingh
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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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Michael S. Floater, Georg Muntingh. 2025-06-22. On the injectivity of mean value mappings between quadrilaterals. https://arxiv.org/abs/2407.00422

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