Diffuse Optical Tomography in Time Domain with the Inverse Rytov Series

Authors

DOI:

https://doi.org/10.4208/jcm.2411-m2024-0125

Keywords:

Inverse problems, Diffuse optical tomography

Abstract

The Rytov approximation has been commonly used to obtain reconstructed images for optical tomography. However, the method requires linearization of the nonlinear inverse problem. Here, we demonstrate nonlinear Rytov approximations by developing the inverse Rytov series for the time-dependent diffusion equation. The method is verified by a solid-phantom experiment.

Author Biographies

  • Chi Zhang

    Department of Cellular and Molecular Anatomy, Hamamatsu University School of Medicine, Hamamatsu 431-3192, Japan

  • Manabu Machida

    Department of Informatics, Faculty of Engineering, Kindai University, Higashi-Hiroshima 739-2116, Japan

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Published

2025-01-03

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Issue

Online First

Section

Articles

How to Cite

Diffuse Optical Tomography in Time Domain with the Inverse Rytov Series. (2025). Journal of Computational Mathematics. https://doi.org/10.4208/jcm.2411-m2024-0125