Nonnegative volume matching by cubic C1 splines on Clough-Tocher splits

被引：1

作者：

Schmidt, JW ^{[1
]}

Bastian, M ^{[1
]}

Mulansky, B ^{[1
]}

机构：

[1] Tech Univ, Inst Numer Math, D-01062 Dresden, Germany

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2001年 / 39卷 / 02期

关键词：

scattered data; cubic C-1 splines on triangulations; double Clough-Tocher splits; nonnegativity preserving volume matching; minimizing a fairing functional;

D O I：

10.1137/S003614299936617X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a numerical method to construct volume matching C-1 splines satisfying the frequently occurring requirement of nonnegativity. The approximated histogram is assumed to be defined on a partition of a polygonal domain into polygonal subdomains. Our idea consists of applying cubic C-1 splines on Clough Tocher refinements of a triangulation that is compatible with the given partition. The proposed algorithm always works successfully for nonnegative histograms.

引用

页码：566 / 586

页数：21

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