Photoacoustic and thermoacoustic tomography with an uncertain wave speed

被引：9
|
作者：
Oksanen, Lauri [1 ]
Uhlmann, Gunther [2 ]
机构：
[1] UCL, Dept Math, London WC1E 6BT, England
[2] Univ Washington, Dept Math, Seattle, WA 98195 USA
来源：
MATHEMATICAL RESEARCH LETTERS | 2014年 / 21卷 / 05期
关键词：
Inverse problems; photoacoustic tomography; thermoacoustic tomography; wave equation; stability; RECOVERY;
D O I：
10.4310/MRL.2014.v21.n5.a13
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the mathematical model of photoacoustic and ther-moacoustic tomography in media with a variable sound speed. When the sound speed is known, the explicit reconstruction formula of [14] can be used. We study how a modeling error in the sound speed affects the reconstruction formula and quantify the effect in terms of a stability estimate.
引用
收藏
页码：1199 / 1214
页数：16
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