Mathematics of thermoacoustic tomography Page 1 Euro. Jnl of Applied Mathematics (2008), vol.
19, pp. 191–224. c 2008 Cambridge University Press doi:10.1017/S0956792508007353 Printed …

Microwave-induced thermoacoustic imaging (MTAI) has emerged as a potential biomedical
imaging modality with over 20-year growth. MTAI typically employs pulsed microwave as the …

Regularization methods aimed at finding stable approximate solutions are a necessary tool
to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of …

Imaging is an interdisciplinary research area with profound applications in many areas of
science, engineering, technology, and medicine. The most primitive form of imaging is visual …

Photoacoustics promises to revolutionize medical imaging and may well make as dramatic a
contribution to modern medicine as the discovery of the x-ray itself once did. Combining …

This text addresses the topics covered in ten lectures delivered by the author during the
2012 CBMS-NSF conference “Mathematical methods of computed tomography.” The goals …

We study the mathematical model of thermoacoustic tomography in media with a variable
speed for a fixed time interval [0, T] so that all signals issued from the domain leave it after …

We establish inversion formulas of the so-called filtered back-projection type to recover a
function supported in the ball in even dimensions from its spherical means over spheres …

We propose a new algorithmic approach to the non-smooth and non-convex Potts problem
(also called piecewise-constant Mumford–Shah problem) for inverse imaging problems. We …

This paper analyzes the reconstruction of diffusion and absorption parameters in an elliptic
equation from knowledge of internal data. In the application of photoacoustics, the internal …