Optical tomography: forward and inverse problems

Details Optical tomography: forward and inverse problems Optical tomography: forward and inverse problems

2009-07-15

arxiv.org/abs/0907.2586v1

Mathematics

Analysis of PDEs

70 pages, 2 figures

Scientific paper

This paper is a review of recent mathematical and computational advances in optical tomography. We discuss the physical foundations of forward models for light propagation on microscopic, mesoscopic and macroscopic scales. We also consider direct and numerical approaches to the inverse problems that arise at each of these scales. Finally, we outline future directions and open problems in the field.

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