Maximum Likelihood Estimation Image Denoising Using Non-local Principle Component Analysis

WU Xi; ZHOU Ji-liu; HE Jian-xin

doi:10.3788/gzxb20114012.1827

[1] KATKOVNIK V, FOI A, EGIAZARIAN K, et al. From local Kernel to nonlocal multiple-model image denoising［J］. International Journal of Computer Vision, 2010, 86(1): 1-32.

[2] PERONA P, MALIK J. Scale-space and edge detection using anisotropic diffusion［J］. IEEE Transaction on Pattern Analysis and Machines Intelligence , 1990, 12(7): 629-639.

[3] TSCHUMPERLE D. Fast anisotropic smoothing of multi-valued images using curvature-preserving PDE′s［J］. International Journal of Computer Vision, 2006, 68(1): 65-82.

[4] AWATE S P, WHITAKER R T. Feature-preserving MRI denoising using a nonparametric, empirical-Bayes approach［J］. IEEE Transaction on Medical Imaging, 2007, 26(9): 1242-1255.

[5] SIJBERS J, DEKKER A J. Maximum likelihood estimation of signal amplitude and noise variance from MR data［J］. Magnetic Resonance of Medicine, 2004, 51(3): 586-594.

[6] RAJAN J, JEURISSEN B, VERHOYE M, et al. Maximum likelihood estimation based denoising of magnetic resonance images using restricted local neighborhoods［J］. Physics in Medicine and Biology, 2011, 56: 5221-5234.

[7] PORTILLA J, STRELA V, WAINWRIGHT M, et al. Image denoising using scale mixtures of Gaussians in the wavelet domain［J］. IEEE Transactions on Image Processing, 2003, 12(11): 1338-1351.

[8] BUADES A, COLL B, MOREL J M. A review of image denoising algorithms, with a new one［J］. Multiscale Model Simulation, 2005, 4(2): 490-530.

[9] BUADES A, COLL B, MOREL J M. The staircasing effect in neighborhood filters and its solution［J］. IEEE Transactions on Image Processing, 2006, 15(6): 1499-1505.

[10] TOLGA T. Principle neighborhood dictionaries for nonlocal mean image denoising［J］. IEEE Transactions on Image Processing, 2009, 18(12): 1338-1351.

[12] DELEDALLE C A, DENIS L, TUPIN F. Iterative weighted maximum likelihood denoising with probabilistic patch-based weights［J］. IEEE Transactions on Image Processing, 2009, 18(12): 1-12.

[13] POLZEHL J, SPOKOINY V. Propagation-separation approach for local likelihood estimation［J］. Probability Theory and Related Fields, 2006, 135(3): 335-362.

[14] WANG Z, BOVIK A C, SHEIKH H R, et al. Image quality assessment: from error visibility to structural similarity［J］. IEEE Transactions on Image Processing, 2004, 13(4): 600-612.