Local Inversion of the Sonar Transform Regularized by the Approximate Inverse

Quinto, Eric Todd.

Rieder, Andreas.

Schuster, Thomas.


  • A new reconstruction method is given for the spherical mean transform withcenters on a plane in R3 which is also called the sonar transform. Standardinversion formulas require data over all spheres, but typically, the data arelimited in the sense that the centers and radii are in a compact set. Ourreconstruction operator is local because, to reconstruct at x, one needs onlyspheres that pass near ... read more
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  • Inverse Problems. 27(2011) 035006 (18 pages)
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