A Multi-Grid Iterative Method for Photoacoustic Tomography

Ashkan Javaherian, Sean Holman

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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.
    Original languageEnglish
    Pages (from-to)696-706
    Number of pages11
    JournalIEEE Transactions on Medical Imaging
    Volume36
    Issue number3
    Early online date4 Nov 2016
    DOIs
    Publication statusPublished - Mar 2017

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