Reconstructions in Ultrasound Modulated Optical Tomography

Details Reconstructions in Ultrasound Modulated Optical Tomography Reconstructions in Ultrasound Modulated Optical Tomography

2009-10-15

arxiv.org/abs/0910.2748v3

Mathematics

Analysis of PDEs

Section 2 now contains a more detailed derivation of the mathematical model.

Scientific paper

We introduce a mathematical model for ultrasound modulated optical tomography and present a simple reconstruction scheme for recovering the spatially varying optical absorption coefficient from scanning measurements with narrowly focused ultrasound signals. Computational results for this model show that the reconstruction of sharp features of the absorption coefficient is possible. A formal linearization of the model leads to an equation with a Fredholm operator, which explains the stability observed in our numerical experiments.

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