Recovering the distribution of fluorophore for FDOT using cuboid approximation
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The time-domain fluorescence diffuse optical tomography (FDOT) is theoretically and numerically investigated based on analytic expressions for a three space dimensional diffusion model. The emission light is analytically calculated by an initial boundary value problem for coupled diffusion equations in the half space. The inverse problem of FDOT is to recover the distribution of fluorophores in biological tissue, which is solved using the time-resolved measurement data on the boundary surface. We identify the location of a fluorescence target by assuming that it has a cuboidal shape. The aim of this paper is to propose a strategy which is a combination of of theoretical arguments and numerical arguments for a inversion, which enables to obtain a stable inversion and accelerate the speed of convergence. Its effectivity and performance are tested numerically using simulated data and experimental data obtained from an ex vivo beef phantom.
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