Image Compressed Sensing Based on Universal HMT of the Dual-tree Wavelets

Donoho D L. Compressed sensing [J].IEEE Transactions on Information Theory.2006, 52(4):1289-1306[2]Candes E J nd Romberg J T. Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information [J].IEEE Transactions on Information Theory.2006, 52(2):489-509[3]Blumensath T and Davies M E. Iterative thresholding for sparse approximations[J].Journal of Fourier Analysis and Applications.2008, 14(5):629-654[4]Bregman L M. The method of successive projection for finding a common point of convex sets [J]. Soviet Math, 1965, 6(3): 688-692.[5]Chartrand R and Yin Wotao. Iteratively reweighted algorithms for compressive sensing[C]. IEEE International Conference on Acoustics, Speech and Signal Processing, Las Vegas, NV, USA, 2008: 3869-3872.[6]Chartrand R. Exact reconstruction of sparse signals via nonconvex minimization [J].IEEE Signal Processing Letters.2007, 14(10):707-710[7]Mohimani G H, Babaie-Zadeh M, and Jutten C. A fast sparse approach for overcomplete sparse decomposition based on smoothed l_0 norm [J].IEEE Transactions on Signal Processing.2009, 57(1):289-301[8]Needell D and Tropp J A. CoSaMP: Iiterative signal recovery from incomplete and inaccurate samples[J].Applied and Computational Harmonic Analysis.2008, 26(3):301-321[9]Needell D and Vershynin R. Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit[J].Foundations of Computational Mathematics.2009, 9(3):317-334[10]Baraniuk R G, Cevher Volkan, and Marco T D, et al.. Model-Based compressive sensing [J].IEEE Transactions on Information Theory.2010, 56(4):1982-2001[11]Duarte M F. Fast reconstruction from random incoherent projections[R]. Rice ECE Department Technical Report Tree, 2005.[12]Yonina C E and Helmut B. Block-sparsity:coherence and efficient recovery[C]. IEEE International Conference on Acoustics, Speech and Signal Processing, Taipei, Taiwan, 2009: 2885-2888.[13]Kivinen J J, Sudderth E B, and Jordan M I. Image denoising with nonparametric Hidden Markov trees[C]. IEEE International Conference on Image Processing, San Antonio, Texas, 2007, 3: 121-124.[14]赵书斌，彭思龙. 基于小波域HMT模型的图像超分辨率重构[J]. 计算机辅助设计与图形学学报，2003, 15(11): 1347-1352.[15]Zhao Shu-bin and Peng Si-long. Wavelet-domain HMT-based image superresolution[J].Journal of Computer-aided Design Computer Graphics.2003, 15(11):1347-1352[16]Marco F D, Wakin M B, and Baraniuk R G. Wavelet-domain compressive signal reconstruction using a hidden markov tree model[C]. IEEE International Conference on Acoutics, Speech and Signal Processing, Las Vegas, NV, USA, 2008: 5137-5140.[17]Crouse Matthew S, Nowak R D, and Baraniuk R G. Wavelet- based statistical signal processing using Hidden Markov Models[J]. IEEE Transactions on Signal Processing, 1996, 3(6): 1029-1035.[18]Romberg J K, Hyeokho C, and Baraniuk R G. Bayesian tree-structured image modeling using wavelet-domain hidden markov models [J].IEEE Transactions on Image Processing.2001, 10(7):1056-1068[19]Selesnick I W and Baraniuk R G. The dual-tree complex wavelet transform[J].IEEE Signal Processing Magazine.2005, 22(6):123-151