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Handbook of Mathematical Methods in Imaging pp 1033–1079Cite as

Optical Imaging

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Abstract

This chapter discusses diffuse optical tomography. We present the origins of this method in terms of spectroscopic analysis of tissue using near-infrared light and its extension to an imaging modality. Models for light propagation at the macroscopic and mesoscopic scale are developed from the radiative transfer equation (RTE). Both time- and frequency-domain systems are discussed. Some formal results based on Green’s function models are presented, and numerical methods are described based on discrete finite element method (FEM) models and a Bayesian framework for image reconstruction. Finally, some open questions are discussed.

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Authors and Affiliations

  1. Department of Computer Science, University College London, Gower Street, WC1E 6BT, London, UK

    Simon R. Arridge

  2. Department of Mathematics, University of Auckland, Auckland, New Zealand

    Jari P. Kaipio

  3. Department of Physics and Mathematics, University of Eastern Finland, Kuopio, Finland

    Ville Kolehmainen & Tanja Tarvainen

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  1. Simon R. Arridge
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  2. Jari P. Kaipio
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  4. Tanja Tarvainen
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Correspondence to Simon R. Arridge .

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  1. Computational Science Center, University of Vienna, Vienna, Austria

    Otmar Scherzer

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Arridge, S.R., Kaipio, J.P., Kolehmainen, V., Tarvainen, T. (2015). Optical Imaging. In: Scherzer, O. (eds) Handbook of Mathematical Methods in Imaging. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0790-8_21

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