An SVD in Spherical Surface Wave Tomography

  title={An SVD in Spherical Surface Wave Tomography},
  author={Ralf Hielscher and Daniel Potts and Michael Quellmalz},
In spherical surface wave tomography, one measures the integrals of a function defined on the sphere along great circle arcs. This forms a generalization of the Funk–Radon transform, which assigns to a function its integrals along full great circles. We show a singular value decomposition (SVD) for the surface wave tomography provided we have full data. Since the inversion problem is overdetermined, we consider some special cases in which we only know the integrals along certain arcs. For the… CONTINUE READING


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