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ESAIM Proceedings and Surveys
Article . 2014 . Peer-reviewed
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Article . 2014
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Article . 2014
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Identification of multipolar sources in a bioluminescent tomography problem

Authors: Batoul Abdelaziz; El Badia Abdellatif; El Hajj Ahmad;

Identification of multipolar sources in a bioluminescent tomography problem

Abstract

Summary: Bioluminescence tomography (BLT) is a recently developed noninvasive imaging tool that allows a direct study of the molecular activity in small animal models. While the forward problem is reduced to a diffusion equation since the scattering phenomena are dominated by the absorption ones in biological tissues, the reconstruction of the distribution of the BLT source is an inverse source problem. In this paper, we concentrate on the reconstruction method where we present an algebraic method allowing to identify the number, the intensities and the location of monopolar sources. Finally, some numerical results are shown proving the robustness of the method.

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Keywords

T57-57.97, reconstruction method, Applied mathematics. Quantitative methods, Biomedical imaging and signal processing, diffusion equation, QA1-939, absorption, Mathematics, Numerical methods for integral transforms, bioluminescence tomography

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Published in a Diamond OA journal