Approximation errors and model reduction with an application in optical diffusion tomography

SR Arridge, JP Kaipio, V Kolehmainen… - Inverse …, 2006 - iopscience.iop.org
Abstract Model reduction is often required in several applications, typically due to limited
available time, computer memory or other restrictions. In problems that are related to partial …

Approximation errors and model reduction in three-dimensional diffuse optical tomography

V Kolehmainen, M Schweiger, I Nissilä, T Tarvainen… - JOSA A, 2009 - opg.optica.org
Model reduction is often required in diffuse optical tomography (DOT), typically because of
limited available computation time or computer memory. In practice, this means that one is …

An approximation error approach for compensating for modelling errors between the radiative transfer equation and the diffusion approximation in diffuse optical …

T Tarvainen, V Kolehmainen, A Pulkkinen… - Inverse …, 2009 - iopscience.iop.org
In this paper, we investigate the applicability of the Bayesian approximation error approach
to compensate for the discrepancy of the diffusion approximation in diffuse optical …

Anisotropic diffusion regularization methods for diffuse optical tomography using edge prior information

A Douiri, M Schweiger, J Riley… - … Science and Technology, 2006 - iopscience.iop.org
Diffuse optical tomography (DOT) is a non-invasive functional imaging modality that aims to
image the optical properties of biological organs. The forward problem of the light …

Adaptive finite element methods for the solution of inverse problems in optical tomography

W Bangerth, A Joshi - Inverse Problems, 2008 - iopscience.iop.org
Optical tomography attempts to determine a spatially variable coefficient in the interior of a
body from measurements of light fluxes at the boundary. Like in many other applications in …

Optical tomography in medical imaging

SR Arridge - Inverse problems, 1999 - iopscience.iop.org
We present a review of methods for the forward and inverse problems in optical tomography.
We limit ourselves to the highly scattering case found in applications in medical imaging …

Image reconstruction for diffuse optical tomography using sparsity regularization and expectation-maximization algorithm

N Cao, A Nehorai, M Jacob - Optics express, 2007 - opg.optica.org
We present an image reconstruction method for diffuse optical tomography (DOT) by using
the sparsity regularization and expectation-maximization (EM) algorithm. Typical image …

Weight‐matrix structured regularization provides optimal generalized least‐squares estimate in diffuse optical tomography

PK Yalavarthy, BW Pogue, H Dehghani… - Medical …, 2007 - Wiley Online Library
Diffuse optical tomography (DOT) involves estimation of tissue optical properties using
noninvasive boundary measurements. The image reconstruction procedure is a nonlinear, ill …

On uniqueness in diffuse optical tomography

B Harrach - Inverse problems, 2009 - iopscience.iop.org
A prominent result of Arridge and Lionheart (1998 Opt. Lett. 23 882–4) demonstrates that it is
in general not possible to simultaneously recover both the diffusion (aka scattering) and the …

Frequency domain optical tomography based on the equation of radiative transfer

K Ren, G Bal, AH Hielscher - SIAM Journal on Scientific Computing, 2006 - SIAM
Optical tomography consists of reconstructing the spatial distribution of absorption and
scattering properties of a medium from surface measurements of transmitted light intensities …