Mean value coordinates in 3D

被引：207

作者：

Floater, MS

Kós, G

Reimers, M

机构：

[1] Univ Oslo, IFI, CMA, N-0316 Oslo, Norway

[2] Comp & Automat Res Inst, H-1111 Budapest, Hungary

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 2005年 / 22卷 / 07期

关键词：

barycentric coordinates; parameterization; mean value theorem;

D O I：

10.1016/j.cagd.2005.06.004

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Barycentric coordinates can be used both to express a point inside a tetrahedron as a convex combination of the four vertices and to linearly interpolate data given at the vertices. In this paper we generalize these coordinates to convex polyhedra and the kernels of star-shaped polyhedra. These coordinates generalize in a natural way a recently constructed set of coordinates for planar polygons, called mean value coordinates. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：623 / 631

页数：9

共 8 条

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Floater, MS
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