{ "id": "0902.2579", "version": "v2", "published": "2009-02-15T22:29:33.000Z", "updated": "2009-03-05T05:15:10.000Z", "title": "A family of inversion formulas in Thermoacoustic Tomography", "authors": [ "Linh V. Nguyen" ], "comment": "27 pages, no figure, thanks added", "categories": [ "math.AP" ], "abstract": "We present a family of closed form inversion formulas in thermoacoustic tomography in the case of a constant sound speed. The formulas are presented in both time-domain and frequency-domain versions. As special cases, they imply most of the previously known filtered backprojection type formulas.", "revisions": [ { "version": "v2", "updated": "2009-03-05T05:15:10.000Z" } ], "analyses": { "subjects": [ "92C55", "35L05", "35R30", "44A99", "45Q05" ], "keywords": [ "thermoacoustic tomography", "closed form inversion formulas", "filtered backprojection type formulas", "constant sound", "special cases" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0902.2579N" } } }