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 …

Electrical impedance tomography

L Borcea - Inverse problems, 2002 - iopscience.iop.org
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Optical imaging in medicine: II. Modelling and reconstruction

SR Arridge, JC Hebden - Physics in Medicine & Biology, 1997 - iopscience.iop.org
The desire for a diagnostic optical imaging modality has motivated the development of
image reconstruction procedures involving solution of the inverse problem. This approach is …

Global seismic tomography: the inverse problem and beyond

J Trampert - Inverse problems, 1998 - iopscience.iop.org
Global seismic tomography has produced a great amount of robust information concerning
the three-dimensional extent of the Earth's internal structure. This has stimulated a …

On the continuum limit of a discrete inverse spectral problem on optimal finite difference grids

L Borcea, V Druskin… - Communications on Pure …, 2005 - Wiley Online Library
We consider finite difference approximations of solutions of inverse Sturm‐Liouville
problems in bounded intervals. Using three‐point finite difference schemes, we discretize …

Diffuse tomography: the isotropic case

FA Grunbaum - Inverse Problems, 1992 - iopscience.iop.org
Within the framework of diffuse tomography consider the special case of isotropy, ie the
attenuation varies from pixel to pixel, but for each pixel the (conditional) probability of going …

Matching pursuit for imaging high-contrast conductivity

L Borcea, JG Berryman, GC Papanicolaou - Inverse Problems, 1999 - iopscience.iop.org
We show that imaging an isotropic, high contrast, conductive medium is asymptotically
equivalent to the identification of a unique resistor network, given measurements of currents …

On inverse doping profile problems for the stationary voltage–current map

A Leitao, PA Markowich, JP Zubelli - Inverse Problems, 2006 - iopscience.iop.org
We consider the problem of identifying possibly discontinuous doping profiles in
semiconductor devices from data obtained by stationary voltage–current maps. In particular …

Recursive recovery of a family of Markov transition probabilities from boundary value data

SK Patch - Journal of Mathematical Physics, 1995 - pubs.aip.org
Recent developments in optical imaging inspired the model of photon transport discussed
below.(Infrared radiation is used to image relatively soft and homogeneous tissue.) The …

A nonlinear inverse problem inspired by three-dimensional diffuse tomography

FA Grünbaum - Inverse Problems, 2001 - iopscience.iop.org
Optical, or diffuse tomography, refers to the use of low-energy probes to obtain images of
highly scattering media. The inverse problem for one of the earliest and crudest models of …