Comparison of spatial differencing schemes for the equation of radiative transfer applied to biomedical tissues

H. Kim, A. Hielscher

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    When numerically implementing the equation of radiative transfer (ERT) to calculate light propagation in biological tissue, one has several choices on how to perform the spatial discretization. In this study we investigate the performance of two commonly employed differencing schemes ("step" and "weighted diamond"). Using a discrete-ordinates finite-volume method in a two-dimensional absorbing and scattering medium, the code performances are evaluated in terms of accuracy and computational requirement. We find that, compared to the step-differencing scheme, the weighted diamond differencing scheme provides more accurate solutions of the radiation intensity over a wide range of optical properties. Furthermore, the weighted diamond scheme is computationally more efficient than the step method. When used in conjunction with tomographic reconstruction algorithms, we observe that using the weighted-diamond differencing scheme leads to more accurate reconstructions of the optical properties.

    Original languageEnglish (US)
    Title of host publicationOptical Tomography and Spectroscopy of Tissue VII
    DOIs
    StatePublished - 2007
    EventOptical Tomography and Spectroscopy of Tissue VII - San Jose, CA, United States
    Duration: Jan 21 2007Jan 24 2007

    Publication series

    NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
    Volume6434
    ISSN (Print)1605-7422

    Conference

    ConferenceOptical Tomography and Spectroscopy of Tissue VII
    CountryUnited States
    CitySan Jose, CA
    Period1/21/071/24/07

    Keywords

    • Optical tomography
    • Radiative transfer equation
    • Spatial differencing scheme
    • Step scheme
    • Weighted diamond scheme

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Biomaterials
    • Atomic and Molecular Physics, and Optics
    • Radiology Nuclear Medicine and imaging

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