An efficient spherical mapping algorithm and its application on spherical harmonics

被引:0
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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
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关键词
spherical parametrization; hierarchical optimization; spherical harmonics;
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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
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