Efficient and accurate rotation of finite spherical harmonics expansions |
| |
Authors: | C Lessig T de Witt E Fiume |
| |
Institution: | Department of Computer Science, University of Toronto, Toronto M5S 2E4, ON, Canada |
| |
Abstract: | Spherical harmonics are employed in a wide range of applications in computational science and physics, and many of them require the rotation of functions. We present an efficient and accurate algorithm for the rotation of finite spherical harmonics expansions. Exploiting the pointwise action of the rotation group on functions on the sphere, we obtain the spherical harmonics expansion of a rotated signal from function values at rotated sampling points. The number of sampling points and their location permits one to balance performance and accuracy, making our technique well-suited for a wide range of applications. Numerical experiments comparing different sampling schemes and various techniques from the literature are presented, making this the first thorough evaluation of spherical harmonics rotation algorithms. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|