9 October 1995 Explicit inverse radiative transfer algorithm for estimating embedded sources from external radiance measurements
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Abstract
An explicit inverse radiative transfer algorithm has been developed to estimate the spatial distribution of a radiant energy source, embedded within a homogeneous plane-parallel medium that can both absorb and scatter light, from measurements of the radiance at its boundaries. The algorithm can be used with fluorescent sources for applications in a variety of fields such as medical imaging and ocean optics. Since the source estimation is done explicitly this algorithm could be used as a starting condition for iterative schemes. The algorithm is intended for use with a beam-expanded laser normally-incident on a target possessing a flat surface, exciting fluorescence at a different wavelength. The algorithm requires that the angle- dependent radiance distribution be measured over incident and outward directions at both boundaries of a slab and that the optical properties of the medium are known a priori. General boundary conditions as well as anisotropic sources can be treated. The algorithm is presented along with some numerical results for a variety of source distributions with a medium modeled as tissue. The results suggest that this algorithm provides a promising way to explicitly estimate the spatial distribution of an embedded source in a participating medium.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Lydia Katryn Sundman, Norman J. McCormick, "Explicit inverse radiative transfer algorithm for estimating embedded sources from external radiance measurements", Proc. SPIE 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, (9 October 1995); doi: 10.1117/12.224185; https://doi.org/10.1117/12.224185
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