English

On reconstruction formulas and algorithms for the thermoacoustic tomography

Analysis of PDEs 2009-02-02 v2 Numerical Analysis

Abstract

The paper surveys recent progress in establishing uniqueness and developing inversion formulas and algorithms for the thermoacoustic tomography. In mathematical terms, one deals with a rather special inverse problem for the wave equation. In the case of constant sound speed, it can also be interpreted as a problem concerning the spherical mean transform.

Keywords

Cite

@article{arxiv.0706.1303,
  title  = {On reconstruction formulas and algorithms for the thermoacoustic tomography},
  author = {M. Agranovsky and P. Kuchment and L. Kunyansky},
  journal= {arXiv preprint arXiv:0706.1303},
  year   = {2009}
}
R2 v1 2026-06-21T08:36:50.712Z