Spherical Harmonic Decomposition for Surfaces of Arbitrary Topology
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. Traditionally, the given function needs to be defined on a sphere domain. This paper studies the spherical harmonic decomposition for functions defined on a more general 2-dimensional manifold surface. Specifically, we focus on the fundamental problem of geometric surface mapping that can parameterize a general surface onto a sphere domain, upon which the spherical harmonic decomposition can be conducted effectively. We demonstrate the effectiveness of our framework via progressive surface reconstruction.
spherical harmonic decomposition:spherical parameterization
Wuyi Yu Tengfei Ye Maoqing Li Xin Li
Xiamen University Louisiana State University
国际会议
The 5th International Conference on Computer Science & Education(第五届国际计算机新技术与教育学术研讨会 ICCSE10)
合肥
英文
1904-1909
2010-08-24（万方平台首次上网日期，不代表论文的发表时间）