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Inversion with early photons
Author(s) -
Turner Gordon M.,
Soubret Antoine,
Ntziachristos Vasilis
Publication year - 2007
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.2437103
Subject(s) - inversion (geology) , singular value decomposition , photon , inverse problem , conjugate gradient method , regularization (linguistics) , mathematics , algorithm , physics , optics , computer science , mathematical analysis , artificial intelligence , biology , paleontology , structural basin
Optical tomography using early photons can improve resolution and reduce the ill‐posed nature of the inversion problem. In this work we use 360 ° projection experimental data to investigate the inversion performance of three commonly used numerical inversion methods: the random algebraic reconstruction technique (rART), singular value decomposition (SVD), and the conjugate‐gradient‐type method LSQR. Results are contrasted to each other and the effects of different photon propagation models are also investigated. We find that all methods perform adequately given appropriate regularization parameters, and that an experimentally measured photon weight function yields superior results over two approximate weights that have been previously used.