A Multi-Grid Iterative Method for Photoacoustic Tomography
A Multi-Grid Iterative Method for Photoacoustic Tomography
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DOI：
10.1109/tmi.2016.2625272
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发表时间：
2017-03-01
影响因子：
10.6
通讯作者：
Holman, Sean
中科院分区：
文献类型：
--
作者：
Javaherian, Ashkan;Holman, Sean
受近年来在使用不同保真度的模型上最小化非光滑或有界约束凸函数方面取得的进展的启发，我们提出了一种用于非均匀介质中光声层析成像（PAT）全波迭代图像重建的线搜索多重网格（MG）方法。为了在每次迭代中计算搜索方向，我们根据一些预定义的标准，在目标水平的梯度或粗略水平的近似误差校正之间做出决定。为了考虑吸收和色散，我们直接从一阶声波系统导出解析伴随。该方法的有效性进行了测试的总变差惩罚迭代收缩保持算法（ISTA）及其加速变体（FISTA），已被用于许多研究中的图像重建PAT。结果表明，该方法在提高迭代图像重建速度方面具有很大的潜力。
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 multi-grid (MG) method for full-wave iterative image reconstruction in photoacoustic tomography (PAT) in heterogeneousmedia. 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.