next up previous contents
Next: Spherical coordinates Up: Generalisations and inversion Previous: FPT - fast polynomial   Contents


NFSFT - nonequispaced fast spherical Fourier transform

Fourier analysis on the sphere has, despite other fields, practical relevance in tomography, geophysics, seismology, meteorology and crystallography. In analogy to the complex exponentials $ \mathrm{e}^{\mathrm{i} k x}$ on the torus, the spherical harmonics form the orthogonal Fourier basis with respect to the usual inner product on the sphere.



Subsections

Jens Keiner 2006-11-20