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Locating Transparent Regions in Optical Absorption and Scattering Tomography

Nuutti Hyvönen
SIAM Journal on Applied Mathematics
Vol. 67, No. 4 (2007), pp. 1101-1123
Stable URL: http://www.jstor.org/stable/40233432
Page Count: 23
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Locating Transparent Regions in Optical Absorption and Scattering Tomography
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Abstract

The aim of optical absorption and scattering tomography is to reconstruct the optical properties inside a physical body, e.g., a neonatal head, by illuminating it with near-infrared light and measuring the outward flux of photons on the object boundary. Because brain consists of strongly scattering tissue with imbedded cavities filled by weakly scattering cerebrospinal fluid, propagation of near-infrared photons in the human head can be treated by combining the diffusion approximation of the radiative transfer equation with geometrical optics to obtain the radiositydiffusion forward model of optical tomography. Currently, a disadvantage with the radiosity-diffusion model is that the locations of the transparent cavities must be known in advance in order to be able to reconstruct the physiologically interesting quantities, i.e., the absorption and the scatterer in the strongly scattering brain tissue. In this work we show, both theoretically and numerically, that under suitable conditions the factorization method of Andreas Kirsch can be used for locating the transparent cavities through the boundary measurements of optical tomography if the background optical properties of the strongly scattering tissue are known.

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