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The inverse source problem based on the radiative transfer equation in optical molecular imaging. (English) Zbl 1061.65143
Summary: We present the first tomographic reconstruction algorithm for optical molecular imaging that is based on the equation of radiative transfer. The reconstruction code recovers the spatial distribution of fluorescent sources in highly scattering biological tissue. An objective function, which describes the discrepancy of measured near-infrared light with predicted numerical data on the tissue surface, is iteratively minimized to find a solution of the inverse source problem. At each iteration step the predicted data are calculated by a forward model for light propagation based on the equation of radiative transfer. The unknown source distribution is updated along a search direction that is provided by an adjoint differentiation technique.

MSC:
65R20 Numerical methods for integral equations
45K05 Integro-partial differential equations
92C55 Biomedical imaging and signal processing
Software:
TAF; TAMC
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