Multi-variable intelligent matching pursuit algorithm using prior knowledge for image reconstruction by l0 minimization

作者: Dan Li , Qiang Wang , Yi Shen

DOI: 10.1016/J.NEUCOM.2016.05.031

关键词:

摘要: Image reconstruction by l0 minimization is an NP-hard problem that requires exhaustively listing all possibilities of the original signal with a very high computational complexity, which difficult to be achieved traditional algorithms. Although greedy algorithm aims at solving minimization, it more likely fall into suboptimal solution. In this paper, we propose multi-variable intelligent matching pursuit (MIMP), can solve essentially taking advantage optimization in combinatorial problems and searching for global optimal solution improve performance image reconstruction. The updating mechanism MIMP designed introducing strategies accelerate speed. Also, scheme utilized sample images then joint implemented measurements, not only accuracy but also reduce complexity. Moreover, edge saliency obtained as prior knowledge guide compressive sensing reconstruction, contributes lot complexity As sparsity level hard estimated, new function proposed without knowing prior. Compared other state-of-the-art algorithms, method achieve better has reasonable relatively faster speed using knowledge. Numerical experiments on several demonstrate significantly outperforms algorithms structure based PSNR, SSIM visual quality. HighlightsWe significantly.A novel unknown prior.Multi-variable introduced small measurement number.Edge information applied computation performance.

参考文章(48)
Subhojit Som, Philip Schniter, Compressive imaging using approximate message passing and a Markov-tree prior asilomar conference on signals, systems and computers. ,vol. 60, pp. 3439- 3448 ,(2010) , 10.1109/TSP.2012.2191780
Mark D. Plumbley, Recovery of Sparse Representations by Polytope Faces Pursuit Independent Component Analysis and Blind Signal Separation. pp. 206- 213 ,(2006) , 10.1007/11679363_26
Esteban Vera, Luis Mancera, S. Derin Babacan, Rafael Molina, Aggelos K. Katsaggelos, Bayesian compressive sensing of wavelet coefficients using multiscale Laplacian priors 2009 IEEE/SP 15th Workshop on Statistical Signal Processing. pp. 229- 232 ,(2009) , 10.1109/SSP.2009.5278598
Jin Xiao, Michael Kwok-Po Ng, Yu-Fei Yang, On the Convergence of Nonconvex Minimization Methods for Image Recovery IEEE Transactions on Image Processing. ,vol. 24, pp. 1587- 1598 ,(2015) , 10.1109/TIP.2015.2401430
David L. Donoho, Yaakov Tsaig, Extensions of compressed sensing ,(2004)
Dan Li, Chunli Shi, Qiang Wang, Yi Shen, Yan Wang, Artificial immune algorithm based signal reconstruction for compressive sensing instrumentation and measurement technology conference. pp. 76- 81 ,(2014) , 10.1109/I2MTC.2014.6860526
Chinh La, Minh N. Do, Tree-Based Orthogonal Matching Pursuit Algorithm for Signal Reconstruction international conference on image processing. pp. 1277- 1280 ,(2006) , 10.1109/ICIP.2006.312578
Hangjun Che, Chuandong Li, Xing He, Tingwen Huang, An intelligent method of swarm neural networks for equalities-constrained nonconvex optimization Neurocomputing. ,vol. 167, pp. 569- 577 ,(2015) , 10.1016/J.NEUCOM.2015.04.033
Xinpeng Du, Lizhi Cheng, Guangquan Cheng, A heuristic search algorithm for the multiple measurement vectors problem Signal Processing. ,vol. 100, pp. 1- 8 ,(2014) , 10.1016/J.SIGPRO.2014.01.002
Scott Shaobing Chen, David L. Donoho, Michael A. Saunders, Atomic Decomposition by Basis Pursuit SIAM Journal on Scientific Computing. ,vol. 20, pp. 33- 61 ,(1998) , 10.1137/S1064827596304010