Local Inversion of the Sonar Transform Regularized by the Approximate Inverse

Quinto, Eric Todd
Rieder, Andreas
Schuster, Thomas
2011

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 x... read more

This object is in collection:
Tufts Published Scholarship
Subjects
Tomography.
Permanent URL
http://hdl.handle.net/10427/009676
Original publication
Inverse Problems. 27(2011) 035006 (18 pages)
ID: tufts:sd.0000500
To Cite: DCA Citation Guide
Usage: Detailed Rights