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三维光声图像重建的交替方向加权算法

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  • 1. 上海大学 通信与信息工程学院, 上海 200444;
    2. 上海大学 上海生物医学工程研究所, 上海 200444

收稿日期: 2018-04-25

  修回日期: 2018-05-17

  网络出版日期: 2019-05-31

基金资助

国家自然科学基金(No.61571281,No.81371604)资助

Three-Dimensional Photoacoustic Image Reconstruction Using Weighted Alternating Direction Method

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  • 1. School of Communication and Information Engineering, Shanghai University Shanghai 200444, China;
    2. Shanghai Institute of Biomedical Engineering, Shanghai University, Shanghai 200444, China

Received date: 2018-04-25

  Revised date: 2018-05-17

  Online published: 2019-05-31

摘要

为了在探测器数目有限的欠采样条件下提高三维光声重建图像的精度和空间分辨率,提出了一种基于结构先验信息加权的稀疏重建算法.利用待成像组织的结构先验信息对传统交替方向算法的迭代过程加以约束并对算法流程进行改进,将重建结果与最小平方QR分解法以及传统交替方向法进行对比.仿真实验结果表明,所提算法在欠采样条件下能够有效地抑制伪影,重建出空间分辨率和精度更高的三维光声图像.

本文引用格式

齐梦雨, 赵丽丽, 刘欣, 严壮志 . 三维光声图像重建的交替方向加权算法[J]. 应用科学学报, 2019 , 37(3) : 336 -348 . DOI: 10.3969/j.issn.0255-8297.2019.03.004

Abstract

Based on conventional alternating direction method (ADM), an advanced method called weighted ADM is proposed for three-dimensional photoacoustic reconstructions, to obtain better images with fewer measurements. Take advantage of structural information of targets as priori information, the iteration process of ADM is improved and optimized, and the reconstructed images were compared with the sparse equations and least squares methods (LSQR) and conventional ADM method. Simulation analysis showed that the proposed method is able to provide photoacoustic images with better accuracy and better spatial resolution in the circumstance of under-sampling, compared with the two other methods.

参考文献

[1] Masters B R. Biomedical optics, principles and imaging[J]. Journal of Biomedical Optics, 2008, 13(4):049902.
[2] Lin L, Xia J, Wong T T, Zhang R, Wang L V. In vivo deep brain imaging of rats using oral-cavity illuminated photoacoustic computed tomography[J]. Journal of Biomedical Optics, 2015, 20(1):016019.
[3] Cash K J, Li C, Xia J, Wang L V, Clark H A. Optical drug monitoring:photoacoustic imaging of nanosensors to monitor therapeutic lithium in vivo[J]. Acs Nano, 2015, 9(2):1692-1698.
[4] Yao J, Xia J, Wang L V. Multiscale functional and molecular photoacoustic tomography[J]. Ultrasonic Imaging, 2015, 38(1):44-62.
[5] Qiao W, Chen Z. All-optically integrated photoacoustic and optical coherence tomography:a review[J]. Journal of Innovative Optical Health Sciences, 2017, 10(4):1730006.
[6] Xu M, Wang L V. Universal back-projection algorithm for photoacoustic computed tomography[J]. Physical Review E Statistical Nonlinear & Soft Matter Physics, 2005, 71(1):016706.
[7] Provost J, Lesage F. The application of compressed sensing for photo-acoustic tomography[J]. IEEE Transactions on Medical Imaging, 2009, 28(4):585-594.
[8] Donoho D L. Compressed sensing[J]. IEEE Transactions on Information Theory, 2006, 52(4):1289-1306.
[9] Yang J, Zhang Y. Alternating direction algorithms for L1-problems in compressive sensing[J]. Siam Journal on Scientific Computing, 2009, 33(1):250-278.
[10] Franklin J N. On Tikhonov's method for Ill-posed problems[J]. Mathematics of Computation, 1974, 28(128):889-907.
[11] Liu X, Peng D, Guo W, Ma X, Yang X. Compressed sensing photoacoustic imaging based on fast alternating direction algorithm[J]. International Journal of Biomedical Imaging, 2014, 2012(8):206214.
[12] Paltauf G, Viator J A, Prahl S A, Jacques S L. Iterative reconstruction algorithm for optoacoustic imaging[J]. Journal of the Acoustical Society of America, 2002, 112(4):1536.
[13] Liang D, Zhang H F, Ying L. Compressed-sensing photoacoustic imaging based on random optical illumination[J]. International Journal of Functional Informatics & Personalised Medicine, 2009, 2(4):394-406.
[14] Wang Y, Yin W. Sparse signal reconstruction via iterative support detection[J]. Siam Journal on Imaging Sciences, 2009, 3(3):462-491.
[15] Hale E T, Yin W, Zhang Y. Fixed-point continuation for l1-minimization:methodology and convergence[J]. Siam Journal on Optimization, 2008, 19(3):1107-1130.
[16] Chen C, Tian F, Liu H, Huang J. Diffuse optical tomography enhanced by clustered sparsity for functional brain imaging[J]. IEEE Transactions on Medical Imaging, 2014, 33(12):2323-2331.
[17] Baritaux J C, Kai H, Bucher M, Sanyal S, Unser M. Sparsity-driven reconstruction for FDOT with anatomical priors[J]. IEEE Transactions on Medical Imaging, 2011, 30(5):1143-1153.
[18] Treeby B E, Cox B T. K-wave:MATLAB toolbox for the simulation and reconstruction of photoacoustic wave fields[J]. Journal of Biomedical Optics, 2010, 15(2):021314.
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