{ "id": "0706.1303", "version": "v2", "published": "2007-06-09T11:45:34.000Z", "updated": "2007-10-21T18:11:54.000Z", "title": "On reconstruction formulas and algorithms for the thermoacoustic tomography", "authors": [ "M. Agranovsky", "P. Kuchment", "L. Kunyansky" ], "journal": "Ch. 8 in L. H. Wang (Editor) \"Photoacoustic imaging and spectroscopy,\" CRC Press 2009, pp. 89-101.", "categories": [ "math.AP", "math.NA" ], "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.", "revisions": [ { "version": "v2", "updated": "2007-10-21T18:11:54.000Z" } ], "analyses": { "subjects": [ "35L05", "92C55", "65R32", "44A12" ], "keywords": [ "thermoacoustic tomography", "reconstruction formulas", "algorithms", "special inverse problem", "paper surveys" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0706.1303A" } } }