An efficient spherical mapping algorithm and its application on spherical harmonics

被引:0
作者
ShengHua Wan
TengFei Ye
MaoQing Li
HongChao Zhang
Xin Li
机构
[1] Louisiana State University (LSU),School of Electrical Engineering and Computer Science
[2] Xiamen University,Department of Automation
[3] LSU,Department of Mathematics
来源
Science China Information Sciences | 2013年 / 56卷
关键词
spherical parametrization; hierarchical optimization; spherical harmonics;
D O I
暂无
中图分类号
学科分类号
摘要
The sphere is a natural and seamless parametric domain for closed genus-0 surfaces. We introduce an efficient hierarchical optimization approach for the computation of spherical parametrization for closed genus-0 surfaces by minimizing a nonlinear energy balancing angle and area distortions. The mapping results are bijective and lowly distorted. Our algorithm converges efficiently and is suitable to manipulate large-scale geometric models. We demonstrate and analyze the effectiveness of our mapping in spherical harmonics decomposition.
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页码:1 / 10
页数:9
相关论文
共 22 条
[1]  
Yang Y L(2008)Optimal surface parameterization using inverse curvature map IEEE Trans Visual Comput Graph 14 1054-1066
[2]  
Kim J(2008)Globally optimal surface mapping for surfaces with arbitrary topology IEEE Trans Visual Comput Graph 14 805-819
[3]  
Luo F(2003)Spherical parametrization and remeshing ACM Trans Graph 22 340-349
[4]  
Li X(1979)An optimal algorithm for finding the kernel of a polygon J ACM 26 415-421
[5]  
Bao Y F(2012)Spherical DCB-spline surfaces with hierarchical and adaptive knot insertion IEEE Trans Visual Comput Graph 18 1290-1303
[6]  
Guo X H e al(2011)A topology-preserving optimization algorithm for polycube mapping Comput Graph 35 639-649
[7]  
Praun E(2009)Meshless harmonic volumetric mapping using fundamental solution methods IEEE Trans Autom Sci Eng 6 409-422
[8]  
Hoppe H(2010)Feature-aligned harmonic volumetric mapping using MFS Comput Graph 34 242-251
[9]  
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