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A Multi-Grid Iterative Method for Photoacoustic Tomography

Salvato in:
Pubblicato in:arXiv.org (Nov 21, 2016), p. n/a
Autore principale: Javaherian, Ashkan
Altri autori: Holman, Sean
Pubblicazione:
Cornell University Library, arXiv.org
Soggetti:
Tomography
Photoacoustic effect
Algorithms
Shrinkage
Mathematical analysis
Image reconstruction
Iterative methods
Error correction
Accesso online:Citation/Abstract
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Abstract:Inspired by the recent advances on minimizing nonsmooth or bound-constrained convex functions on models using varying degrees of fidelity, we propose a line search multigrid (MG) method for full-wave iterative image reconstruction in photoacoustic tomography (PAT) in heterogeneous media. To compute the search direction at each iteration, we decide between the gradient at the target level, or alternatively an approximate error correction at a coarser level, relying on some predefined criteria. To incorporate absorption and dispersion, we derive the analytical adjoint directly from the first-order acoustic wave system. The effectiveness of the proposed method is tested on a total-variation penalized Iterative Shrinkage Thresholding algorithm (ISTA) and its accelerated variant (FISTA), which have been used in many studies of image reconstruction in PAT. The results show the great potential of the proposed method in improving speed of iterative image reconstruction.
ISSN:2331-8422
Fonte:Engineering Database