TY - JOUR
T1 - Total variation regularization for nonlinear fluorescence tomography with an augmented Lagrangian splitting approach
AU - Freiberger, Manuel
AU - Clason, Christian
AU - Scharfetter, Hermann
PY - 2010
Y1 - 2010
N2 - Fluorescence tomography is an imaging modality that seeks to reconstruct the distribution of fluorescent dyes inside a highly scattering sample from light measurements on the boundary. Using common inversion methods with 퐿2 penalties typically leads to smooth reconstructions, which degrades the obtainable resolution. The use of total variation (TV) regularization for the inverse model is investigated. To solve the inverse problem efficiently, an augmented Lagrange method is utilized that allows separating the Gauss–Newton minimization from the TV minimization. Results on noisy simulation data provide evidence that the reconstructed inclusions are much better localized and that their half-width measure decreases by at least 25% compared to ordinary 퐿2 reconstructions.
AB - Fluorescence tomography is an imaging modality that seeks to reconstruct the distribution of fluorescent dyes inside a highly scattering sample from light measurements on the boundary. Using common inversion methods with 퐿2 penalties typically leads to smooth reconstructions, which degrades the obtainable resolution. The use of total variation (TV) regularization for the inverse model is investigated. To solve the inverse problem efficiently, an augmented Lagrange method is utilized that allows separating the Gauss–Newton minimization from the TV minimization. Results on noisy simulation data provide evidence that the reconstructed inclusions are much better localized and that their half-width measure decreases by at least 25% compared to ordinary 퐿2 reconstructions.
UR - http://www.opticsinfobase.org/VJBO/virtual_issue.cfm?vid=117
UR - http://www.opticsinfobase.org/VJBO/abstract.cfm?uri=ao-49-19-3741
U2 - 10.1364/AO.49.003741
DO - 10.1364/AO.49.003741
M3 - Article
SN - 2155-3165
VL - 49
SP - 3741
EP - 3747
JO - Applied Optics
JF - Applied Optics
IS - 19
ER -