Sparse Photoacoustic Microscopy Reconstruction Based on Matrix Nuclear Norm Minimization

As a high-resolution deep tissue imaging technology, photoacoustic microscopy (PAM) is attracting extensive attention in biomedical studies. PAM has trouble in achieving real-time imaging with the long data acquisition time caused by point-to-point sample mode. In this paper, we propose a sparse photoacoustic microscopy reconstruction method based on matrix nuclear norm minimization. We use random sparse sampling instead of traditional full sampling and regard the sparse PAM reconstruction problem as a nuclear norm minimization problem, which is efficiently solved under alternating direction method of multiplier (ADMM) framework. Results from PAM experiments indicate the proposed method could work well in fast imaging. The proposed method is also be expected to promote the achievement of PAM real-time imaging.

[1]  Lihong V. Wang,et al.  Functional photoacoustic microscopy for high-resolution and noninvasive in vivo imaging , 2006, Nature Biotechnology.

[2]  Yi Shen,et al.  Sparse Photoacoustic Microscopy based on Low-Rank Matrix Approximation , 2016 .

[3]  G. Sreelekha,et al.  Perceptual video coder incorporating wavelet based Intra frame coder , 2010, 2010 International Conference on Computer and Communication Technology (ICCCT).

[4]  Zhongping Wan,et al.  An Alternating Direction Method with Continuation for Nonconvex Low Rank Minimization , 2016, J. Sci. Comput..

[5]  Junjie Yao,et al.  Photoacoustic microscopy , 2013, Laser & photonics reviews.

[6]  Lihong V. Wang,et al.  Translational Photoacoustic Microscopy , 2016 .

[7]  Yi Shen,et al.  Photoacoustic imaging method based on arc-direction compressed sensing and multi-angle observation. , 2011, Optics express.

[8]  Dong Liang,et al.  Compressed-sensing Photoacoustic Imaging based on random optical illumination , 2009, Int. J. Funct. Informatics Pers. Medicine.

[9]  Frédéric Lesage,et al.  The Application of Compressed Sensing for Photo-Acoustic Tomography , 2009, IEEE Transactions on Medical Imaging.

[10]  Pablo A. Parrilo,et al.  Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization , 2007, SIAM Rev..

[11]  Lihong V Wang,et al.  Compressed sensing in photoacoustic tomography in vivo. , 2010, Journal of biomedical optics.

[12]  Shiqian Ma,et al.  Fixed point and Bregman iterative methods for matrix rank minimization , 2009, Math. Program..

[13]  Lihong V. Wang,et al.  Photoacoustic Tomography: In Vivo Imaging from Organelles to Organs , 2012, Science.

[14]  Bingsheng He,et al.  A new inexact alternating directions method for monotone variational inequalities , 2002, Math. Program..

[15]  Qifa Zhou,et al.  Reflection-mode submicron-resolution in vivo photoacoustic microscopy. , 2012, Journal of biomedical optics.

[16]  Qiang Wang,et al.  Photoacoustic microscopy image resolution enhancement via directional total variation regularization , 2014 .

[17]  Yi Shen,et al.  Compressive sampling photoacoustic tomography based on edge expander codes and TV regularization , 2014 .