Reconstructions for some coupled-physics inverse problems

被引：14

作者：

Bal, Guillaume ^{[2
]}

Uhlmann, Gunther ^{[1
,3
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

[2] Columbia Univ, Dept Appl Phys & Appl Math, New York, NY 10027 USA

[3] Univ Calif Irvine, Irvine, CA 92697 USA

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 07期

关键词：

Inverse problems; Coupled-physics inverse problems; Hybrid inverse problems; Elliptic equations; Anisotropic reconstructions; TOMOGRAPHY;

D O I：

10.1016/j.aml.2012.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This letter announces and summarizes results obtained in Bal and Uhlmann (2011) [1]and considers several natural extensions. The aforementioned paper proposes a procedure for reconstructing coefficients in a second-order, scalar, elliptic equation from knowledge of a sufficiently large number of its solutions. We present this derivation and extend it to show which parameters may or may not be reconstructed for several hybrid (also called coupled-physics) imaging modalities including photo-acoustic tomography, thermoacoustic tomography, transient elastography, and magnetic resonance elastography. Stability estimates are also proposed. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1030 / 1033

页数：4

共 17 条

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[10]

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