Efficient and accurate rotation of finite spherical harmonics expansions

@article{Lessig2012EfficientAA,
  title={Efficient and accurate rotation of finite spherical harmonics expansions},
  author={Christian Lessig and Tyler de Witt and Eugene Fiume},
  journal={J. Comput. Physics},
  year={2012},
  volume={231},
  pages={243-250}
}
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… CONTINUE READING