Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed

被引：95
|
作者：
Agranovsky, Mark [1 ]
Kuchment, Peter
机构：
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
[2] Texas A&M Univ, Dept Math, College Stn, TX 77845 USA
来源：
INVERSE PROBLEMS | 2007年 / 23卷 / 05期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1088/0266-5611/23/5/016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper contains an analytic reconstruction formula in thermoacoustic and photoacoustic tomography. It works for any geometry of point detectors placement along a closed surface and for variable sound speed satisfying a non-trapping condition. It is shown how this formula leads in particular to eigenfunction expansion reconstructions, including those recently obtained for the case of a uniform background. A uniqueness of reconstruction result is also obtained.
引用
收藏
页码：2089 / 2102
页数：14
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