Methods and Applications of Analysis

Optical Tomography in Two Dimensions

Plamen Stefanov

Abstract

We consider in two dimensions, the inverse boundary problem of reconstructing the absorption and scattering coefficient of an inhomogeneous medium by probing it with diffuse light. The problem is modeled as an inverse boundary problem for the stationary linear Boltzmann equation. The information is encoded in the albedo operator. We show that we can recover the absorption and the scattering kernel from this information provided that the latter is small in an appropriate topology. We also give stability estimates and propose an approximate reconstruction procedure.

Article information

Source
Methods Appl. Anal., Volume 10, Number 1 (2003), 001-010.

Dates
First available in Project Euclid: 16 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.maa/1118943099

Mathematical Reviews number (MathSciNet)
MR2014159

Zentralblatt MATH identifier
1084.45006

Citation

Stefanov, Plamen. Optical Tomography in Two Dimensions. Methods Appl. Anal. 10 (2003), no. 1, 001--010. https://projecteuclid.org/euclid.maa/1118943099


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