Nonlocal TV-Gaussian prior for Bayesian inverse problems with applications to limited CT reconstruction

DOI10.3934/ipi.2019066zbMath1448.62108arXiv1901.00262OpenAlexW2990671712WikidataQ126631881 ScholiaQ126631881MaRDI QIDQ2297903

Didi Lv, Jae Kyu Choi, Jinglai Li, Xiaoqun Zhang, Qing-Ping Zhou

Publication date: 20 February 2020

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00262

zbMATH Keywords

Gaussian measureuncertainty quantificationBayesian inverse problemsnonlocal total variationlimited tomography

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Missing data (62D10)

Related Items (4)

A Hadamard fractional total variation-Gaussian (HFTG) prior for Bayesian inverse problems ⋮ \(\boldsymbol{L_1-\beta L_q}\) Minimization for Signal and Image Recovery ⋮ Limited-Angle CT Reconstruction via the $L_1/L_2$ Minimization ⋮ Edge-Promoting Adaptive Bayesian Experimental Design for X-ray Imaging

Uses Software

• LIBSVM
• BayesDA

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