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Comparison of two image reconstruction algorithms for early-photon fluorescence molecular tomography

Alexander B. Konovalov
Federal State Unitary Enterprise “Russian Federal Nuclear Center – Zababakhin All-Russia Research Institute of Technical Physics,” Snezhinsk, Russia
Bach Institute of Biochemistry, Research Center of Biotechnology of the Russian Academy of Sciences, Moscow, Russia

Vitaly V. Vlasov
Federal State Unitary Enterprise “Russian Federal Nuclear Center – Zababakhin All-Russia Research Institute of Technical Physics,” Snezhinsk, Russia
Bach Institute of Biochemistry, Research Center of Biotechnology of the Russian Academy of Sciences, Moscow, Russia

Alexander S. Uglov
Federal State Unitary Enterprise “Russian Federal Nuclear Center – Zababakhin All-Russia Research Institute of Technical Physics,” Snezhinsk, Russia

Abstract

One of the most effective approaches for improving the spatial resolution of fluorescent tomograms is to apply the state-of-the-art reconstruction algorithms based on compressed sensing (CS) theory. The paper presents a numerical experiment on fluorescent image reconstruction where we compare two CS algorithms: the algebraic reconstruction technique (ART) with total variation regularization, ART-TV, and the ART with fast iterative shrinkage-thresholding, ART-FIST. For modeling measurement data and constructing the sensitivity matrix we assume a virtual fluorescence tomograph with a scanning fiber probe that illuminates and collects light in reflectance geometry with source-receiver separations corresponding to the macroscopic regime. We show that ART-FIST outperforms ART-TV in reproduction accuracy and is capable of achieving as good spatial resolution as 0.2 mm at depths to 9 mm inclusive, and is quite competitive in this sense with mesoscopic fluorescence tomography.

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Alexander B. Konovalov
Federal State Unitary Enterprise “Russian Federal Nuclear Center – Zababakhin All-Russia Research Institute of Technical Physics”
Russia

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