广义质心坐标及其应用*

IF 16.3 1区数学 Q1 MATHEMATICS

Acta Numerica Pub Date : 2015-04-27 DOI:10.1017/S0962492914000129

M. Floater

引用次数: 176

摘要

本文综述了多边形和多面体上广义质心坐标的构造、性质及其应用。应用包括:几何建模中的曲面网格参数化;计算机图形学中的图像、曲线和曲面变形;以及多边形和多面体有限元方法。

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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Generalized barycentric coordinates and applications *

This paper surveys the construction, properties, and applications of generalized barycentric coordinates on polygons and polyhedra. Applications include: surface mesh parametrization in geometric modelling; image, curve, and surface deformation in computer graphics; and polygonal and polyhedral finite element methods.

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来源期刊

Acta Numerica MATHEMATICS-

CiteScore

26.00

自引率

0.70%

发文量

期刊介绍： Acta Numerica stands as the preeminent mathematics journal, ranking highest in both Impact Factor and MCQ metrics. This annual journal features a collection of review articles that showcase survey papers authored by prominent researchers in numerical analysis, scientific computing, and computational mathematics. These papers deliver comprehensive overviews of recent advances, offering state-of-the-art techniques and analyses. Encompassing the entirety of numerical analysis, the articles are crafted in an accessible style, catering to researchers at all levels and serving as valuable teaching aids for advanced instruction. The broad subject areas covered include computational methods in linear algebra, optimization, ordinary and partial differential equations, approximation theory, stochastic analysis, nonlinear dynamical systems, as well as the application of computational techniques in science and engineering. Acta Numerica also delves into the mathematical theory underpinning numerical methods, making it a versatile and authoritative resource in the field of mathematics.