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<p>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.</p>

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On the injectivity of mean value mappings between quadrilaterals

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月10日

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  • Michael S. Floater,
  • Georg Muntingh

摘要

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.