Spherical harmonic decomposition for surfaces of arbitrary topology
Document Type
Conference Proceeding
Publication Date
12-1-2010
Abstract
Spherical harmonics have many valuable theoretic and practical applications in data and signal processing and modeling. It decomposes a given function defined on a sphere into a set orthogonal spherical harmonics. However, the given signal/function needs to be defined on a sphere domain. This paper studies the spherical harmonic decomposition for functions defined on general 2-dimensional manifold surfaces. We parameterize a surface with non-trivial topology onto a sphere domain, upon which the spherical harmonic idecomposition can be conducted effectively. We demonstrate the effectiveness of our framework via progressive surface reconstruction. ©2010 IEEE.
Publication Source (Journal or Book title)
ICCSE 2010 - 5th International Conference on Computer Science and Education, Final Program and Book of Abstracts
First Page
215
Last Page
220
Recommended Citation
Yu, W., Ye, T., Li, M., & Li, X. (2010). Spherical harmonic decomposition for surfaces of arbitrary topology. ICCSE 2010 - 5th International Conference on Computer Science and Education, Final Program and Book of Abstracts, 215-220. https://doi.org/10.1109/ICCSE.2010.5593652
