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Bioluminescence tomography for media with spatially varying refractive index
Journal article   Peer reviewed

Bioluminescence tomography for media with spatially varying refractive index

R.F Gong, X.-L Cheng and W Han
Inverse Problems in Science and Engineering, Vol.18(3), pp.295-312
04/01/2010
DOI: 10.1080/17415970903545132

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Abstract

Biomedical imaging has developed into the level of molecular imaging. Bioluminescence tomography (BLT), as an optical imaging modality, is a rapidly developing new and promising field. So far, much of the theoretical analysis of BLT is based on a diffusion approximation equation for media with constant refractive index. In this article, we study the BLT problem for media with spatially varying refractive index. We introduce a general framework with Tikhonov regularization for this purpose, present its well-posedness and establish the error bounds for its numerical solution by the finite element method. Numerical results are reported on simulations of the BLT problem for media with spatially varying refractive index.
numerical solution error estimate inverse problem bioluminescence tomography spatially varying refractive index well-posedness

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