The D-Bar Method for Diffuse Optical Tomography : A Computational Study

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Tamminen , J , Tarvainen , T & Siltanen , S 2017 , ' The D-Bar Method for Diffuse Optical Tomography : A Computational Study ' , Experimental Mathematics , vol. 26 , no. 2 , pp. 225-240 . https://doi.org/10.1080/10586458.2016.1157775

Title: The D-Bar Method for Diffuse Optical Tomography : A Computational Study
Author: Tamminen, J.; Tarvainen, T.; Siltanen, S.
Other contributor: University of Helsinki, Department of Mathematics and Statistics
Date: 2017
Language: eng
Number of pages: 16
Belongs to series: Experimental Mathematics
ISSN: 1058-6458
DOI: https://doi.org/10.1080/10586458.2016.1157775
URI: http://hdl.handle.net/10138/313148
Abstract: The D-bar method at negative energy is numerically implemented. Using the method, we are able to numerically reconstruct potentials and investigate exceptional points at negative energy. Subsequently, applying the method to diffuse optical tomography, a new way of reconstructing the diffusion coefficient from the associated Complex Geometrics Optics solution is suggested and numerically validated.
Subject: inverse problems
diffuse optical tomography
D-bar method
numerical simulation
exceptional points
2-DIMENSIONAL SCHRODINGER OPERATOR
INVERSE CONDUCTIVITY PROBLEM
SCATTERING
EQUATION
ENERGY
111 Mathematics
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