Surface parameterization: a tutorial and survey

被引:581
作者
Floater, MS [1 ]
Hormann, K [1 ]
机构
[1] Univ Oslo, Dept Comp Sci, Oslo, Norway
来源
ADVANCES IN MULTIRESOLUTION FOR GEOMETRIC MODELLING | 2005年
关键词
D O I
10.1007/3-540-26808-1_9
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper provides a tutorial and survey of methods for parameterizing surfaces with a view to applications in geometric modelling and computer graphics. We gather various concepts from differential geometry which are relevant to surface mapping and use them to understand the strengths and weaknesses of the many methods for parameterizing piecewise linear surfaces and their relationship to one another.
引用
收藏
页码:157 / 186
页数:30
相关论文
共 94 条
[21]   Meshless parameterization and surface reconstruction [J].
Floater, MS ;
Reimers, M .
COMPUTER AIDED GEOMETRIC DESIGN, 2001, 18 (02) :77-92
[22]   Parametrization and smooth approximation of surface triangulations [J].
Floater, MS .
COMPUTER AIDED GEOMETRIC DESIGN, 1997, 14 (03) :231-250
[23]   Mean value coordinates [J].
Floater, MS .
COMPUTER AIDED GEOMETRIC DESIGN, 2003, 20 (01) :19-27
[24]  
Floater MS, 2003, MATH COMPUT, V72, P685, DOI 10.1090/S0025-5718-02-01466-7
[25]  
Floater MS, 2000, MATHEMATICS OF SURFACES IX, P1
[26]  
Floater MS, 2002, APPROXIMATION THEORY, P197
[27]   Maximum norm optimization of quasi-isometric mappings [J].
Garanzha, VA .
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2002, 9 (6-7) :493-510
[28]  
Gauss C. F., 1827, COMMENTATIONES SOC R, V6, P99
[29]   Fundamentals of spherical parameterization for 3D meshes [J].
Gotsman, C ;
Gu, XF ;
Sheffer, A .
ACM TRANSACTIONS ON GRAPHICS, 2003, 22 (03) :358-363
[30]  
GREINER G, 1994, COMPUT GRAPH FORUM, V13, pC143, DOI 10.1111/1467-8659.1330143