Title
An efficient spherical mapping algorithm and its application on spherical harmonics
Document Type
Article
Publication Date
9-1-2013
Abstract
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. © 2013 Science China Press and Springer-Verlag Berlin Heidelberg.
Publication Source (Journal or Book title)
Science China Information Sciences
First Page
1
Last Page
10
Recommended Citation
Wan, S., Ye, T., Li, M., Zhang, H., & Li, X. (2013). An efficient spherical mapping algorithm and its application on spherical harmonics. Science China Information Sciences, 56 (9), 1-10. https://doi.org/10.1007/s11432-013-4992-5