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

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  • Kiwoon Kwon

Abstract

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.

Suggested Citation

  • Kiwoon Kwon, 2013. "Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:824501
    DOI: 10.1155/2013/824501
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    1. Kiwoon Kwon, 2012. "The Second-Order Born Approximation in Diffuse Optical Tomography," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, March.
    2. Kiwoon Kwon, 2012. "The Second‐Order Born Approximation in Diffuse Optical Tomography," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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