Efficient Inclusion of Total Variation Type Priors in Quantitative Photoacoustic Tomography

DOI10.1137/15M1051737zbMath1354.65231arXiv1512.02796MaRDI QIDQ3179595

H. Majander, Tanja Tarvainen, Antti Hannukainen, Nuutti Hyvönen

Publication date: 19 December 2016

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02796

zbMATH Keywords

algorithmtotal variationparameter estimationinverse problemnumerical examplesinversion algorithmquantitative photoacoustic tomographyPerona-Malikmatrix-free implementationpriorconditioninghigh-resolution reconstructionsleast squares QR-method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (4)

Acousto-electric tomography with total variation regularization ⋮ Direct quantitative photoacoustic tomography for realistic acoustic media ⋮ Optoacoustic image reconstruction: the full inverse problem with variable bases ⋮ Approximation error method for imaging the human head by electrical impedance tomography*

Uses Software

• LSQR
• CRAIG

Cites Work

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