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.

翻译：均值坐标可用于将一个多边形映射至另一个多边形，在计算机图形学及曲线曲面建模中具有重要应用。本文证明：若多边形均为四边形，且目标四边形为凸四边形，则该映射为单射。