• DOI:10.1007/BF01261607
Corpus ID: 119482349

A fast transform for spherical harmonics

@article{Mohlenkamp1997AFT,
  title={A fast transform for spherical harmonics},
  author={Martin J. Mohlenkamp},
  journal={Journal of Fourier Analysis and Applications},
  year={1997},
  volume={5},
  pages={159-184}
}

Martin J. Mohlenkamp

Published 1997

Mathematics

Journal of Fourier Analysis and Applications

AbstractSpherical harmonics arise on the sphere S2 in the same way that the (Fourier) exponential functions {eikθ}k∈ℤ arise on the circle. Spherical harmonic series have many of the same wonderful properties as Fourier series, but have lacked one important thing: a numerically stable fast transform analogous to the Fast Fourier Transform (FFT). Without a fast transform, evaluating (or expanding in) spherical harmonic series on the computer is slow—for large computations probibitively slow. This… CONTINUE READING

View on Springer

Save to Library

Create Alert

Cite

Launch Research Feed