This is a review of recent mathematical and computational advances in optical tomography.
We discuss the physical foundations of forward models for light propagation on microscopic …

We review the current state-of-the-art of diffuse optical imaging, which is an emerging
technique for functional imaging of biological tissue. It involves generating images using …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

We review developments, issues and challenges in electrical impedance tomography (EIT)
for the 4th Conference on Biomedical Applications of Electrical Impedance Tomography …

We give an overview of recent techniques which use a level set representation of shapes for
solving inverse scattering problems. The main focus is on electromagnetic scattering using …

In this paper, we propose a numerical scheme for the identification of piecewise constant
conductivity coefficient for a problem arising from electrical impedance tomography. The key …

A two-step shape reconstruction method for electromagnetic (EM) tomography is presented
which uses adjoint fields and level sets. The inhomogeneous background permittivity …

The aim of this paper is to provide researchers dealing with inverse heat transfer problems a
review of the Bayesian approach to inverse problems, the related modeling issues, and the …

We present a method for handling nonscattering regions within diffusing domains. The
method develops from an iterative radiosity‐diffusion approach using Green's functions that …

In this work, we propose a new shape reconstruction framework rooted in the concept of
Boolean operations for electrical impedance tomography (EIT). Within the framework, the …