Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography | Zendy

Kiwoon Kwon | Zendy

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Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography

Author(s) -

Kiwoon Kwon

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/824501

Subject(s) - a priori and a posteriori , uniqueness , diffuse optical imaging , perturbation (astronomy) , born approximation , mathematics , inverse problem , inverse , mathematical analysis , series expansion , series (stratigraphy) , physics , optics , tomography , geometry , scattering , quantum mechanics , philosophy , epistemology , paleontology , biology

Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformulated to find a perturbation of the optical coefficients inverting the Born expansion which is an infinite series expansion with respect to the perturbation and the a priori information. Numerical methods for DOT are explained as methods inverting first- or second-order Born approximation or the Born expansion itself

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