Sparse recovery for spherical harmonic expansions

Details Sparse recovery for spherical harmonic expansions Sparse recovery for spherical harmonic expansions

2011-02-20

arxiv.org/abs/1102.4097v1

Mathematics

Numerical Analysis

7 pages, one figure

Scientific paper

We show that sparse spherical harmonic expansions can be efficiently
recovered from a small number of randomly chosen samples on the sphere. To
establish the main result, we verify the restricted isometry property of an
associated preconditioned random measurement matrix using recent estimates on
the uniform growth of Jacobi polynomials.

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