A PDE-Constrained Optimization Approach to Optical Tomography

Xuejun Gu; Andreas H. Hielscher; Andreas H. Hielscher

doi:10.1364/BIOMED.2008.BSuE39

Biomedical Optics
OSA Technical Digest (CD) (Optica Publishing Group, 2008),
paper BSuE39
•https://doi.org/10.1364/BIOMED.2008.BSuE39

A PDE-Constrained Optimization Approach to Optical Tomography

Xuejun Gu and Andreas H. Hielscher

Biomedical Optics 2008

St. Petersburg, Florida United States
16–19 March 2008
ISBN:

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BIOMED Poster Session I (BSuE)

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X. Gu and A. H. Hielscher, "A PDE-Constrained Optimization Approach to Optical Tomography," in Biomedical Optics, OSA Technical Digest (CD) (Optica Publishing Group, 2008), paper BSuE39.

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Abstract

We report on the first formulation of the inverse problem in optical tomography within the framework of PDE-constrained optimization and combine Newton’s method for numerical optimization with a Krylov subspace solver. This approach leads to reduced memory requirements and increased convergence speed.

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