Aspects of Thermoacoustic Tomography

Abstract

Thermoacoustic Tomography (TAT) is a non invasive imaging modality TeX Embedding failed!, which can be used in various domains such as medical imaging or small animal imaging. It can be described as follows: the sample to be imaged is illuminated by a pulsed electromagnetic energy, which results in a non-uniform thermoelastic expansion. The emitted pressure wave depends on the distribution of absorbed energy TeX Embedding failed!, and the inverse problem one is then facing is that of recovering TeX Embedding failed! from measurements of the acoustic signals performed outside the sample.

In this talk, we shall first review various aspects of the modelling of TAT, and then consider several issues concerning the reconstruction problem. We shall then discuss an approach based on the notion of regularization by mollification TeX Embedding failed!.

Joint work with Xavier Bonnefond.

References:

[1] TeX Embedding failed! and TeX Embedding failed!, A variational approach to the inversion of truncated Fourier operators<\i> Inverse Problems, 2009.