Illposedness and non-linearity in Optical Tomography of scattering media

Simon R. Arridge

doi:10.1364/SRS.2001.STuA1

Signal Recovery and Synthesis
2001 OSA Technical Digest Series (Optica Publishing Group, 2001),
paper STuA1
•https://doi.org/10.1364/SRS.2001.STuA1

Illposedness and non-linearity in Optical Tomography of scattering media

Simon R. Arridge

Signal Recovery and Synthesis 2001

Albuquerque, New Mexico United States
ISBN: 1-55752-690-7

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Imaging in Highly Scattering Media (STuA)

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S. R. Arridge, "Illposedness and non-linearity in Optical Tomography of scattering media," in Signal Recovery and Synthesis, 2001 OSA Technical Digest Series (Optica Publishing Group, 2001), paper STuA1.

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Abstract

This talk discusses non-linearity and illposedness in optical tomography. We present the albedo operator as an analysis tool for the transport equation and relate it to the Robin to Neumann map for 2nd order PDEs. The decomposition of the latter presents insight into illposedness.

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