关于四边形间均值映射的注入性

IF 2.1 3区数学 Q2 MATHEMATICS, APPLIED

Advances in Computational Mathematics Pub Date : 2025-07-10 DOI:10.1007/s10444-025-10246-8

Michael S. Floater, Georg Muntingh

引用次数: 0

摘要

均值坐标可用于将一个多边形映射到另一个多边形，并应用于计算机图形学、曲线和曲面建模。在本文中，我们证明了如果多边形是四边形，并且目标四边形是凸的，那么映射是内射的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the injectivity of mean value mappings between quadrilaterals

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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来源期刊

Advances in Computational Mathematics 数学-应用数学

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

3 months

期刊介绍： Advances in Computational Mathematics publishes high quality, accessible and original articles at the forefront of computational and applied mathematics, with a clear potential for impact across the sciences. The journal emphasizes three core areas: approximation theory and computational geometry; numerical analysis, modelling and simulation; imaging, signal processing and data analysis. This journal welcomes papers that are accessible to a broad audience in the mathematical sciences and that show either an advance in computational methodology or a novel scientific application area, or both. Methods papers should rely on rigorous analysis and/or convincing numerical studies.