American Journal of Mathematical and Management Sciences - Special issue MSI-2000: multivariate statistical analysis in honor of Professor Minoru Siotani on his 70th birthday
Digital Image Processing
A Wiener Filter Improvement Combining Wavelet Domains
ICIAP '03 Proceedings of the 12th International Conference on Image Analysis and Processing
Wavelet-based statistical signal processing using hidden Markovmodels
IEEE Transactions on Signal Processing
Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors
IEEE Transactions on Information Theory
Wavelet-based image denoising using a Markov random field a priori model
IEEE Transactions on Image Processing
Wavelet shrinkage and generalized cross validation for image denoising
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Spatially adaptive wavelet thresholding with context modeling for image denoising
IEEE Transactions on Image Processing
Adaptive wavelet thresholding for image denoising and compression
IEEE Transactions on Image Processing
Bayesian tree-structured image modeling using wavelet-domain hidden Markov models
IEEE Transactions on Image Processing
A joint inter- and intrascale statistical model for Bayesian wavelet based image denoising
IEEE Transactions on Image Processing
The curvelet transform for image denoising
IEEE Transactions on Image Processing
Image denoising using scale mixtures of Gaussians in the wavelet domain
IEEE Transactions on Image Processing
A Bayesian transformation model for wavelet shrinkage
IEEE Transactions on Image Processing
Denoising by spatial correlation thresholding
IEEE Transactions on Circuits and Systems for Video Technology
Speckle reduction by adaptive window anisotropic diffusion
Signal Processing
IEEE Transactions on Image Processing
A Bayesian approach of wavelet based image denoising in a hyperanalytic multi-wavelet context
WSEAS Transactions on Signal Processing
Multiple-step local Wiener filter with proper stopping in wavelet domain
Journal of Visual Communication and Image Representation
Lapped transform-based image denoising with the generalised Gaussian prior
International Journal of Computational Vision and Robotics
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In this paper, we propose the block-adaptive windows that are used to upgrade the image denoising performance of the doubly local Wiener filtering method and the corresponding algorithm is also used to reduce spatially non-stationary additive white Gaussian noise (SNS-AWGN) in images. Based on the fact that the energy clusters in the detail subimages of an image exhibit direction features varying with spatial locations and oriented subbands, a noisy detail subimage is divided into non-overlapping small-size blocks and the spatial energy correlation function of each block is calculated to determine the principal direction of energy clusters within each block and the corresponding block-adaptive window. The block-adaptive windows are used to improve the estimations of the image's energy distribution in the detail subimages. For noisy images corrupted by SNS-AWGNs, non-uniform noise variances in the pixel domain must be estimated. To do that, we propose the joint neighborhood median absolute deviation (JNMAD) estimator, which makes the denoising algorithm able to be used in the cases of SNS-AWGNs. The experimental results show that the doubly local Wiener filtering method with block-adaptive windows is superior to other wavelet-based methods using two-dimensional separable wavelet transforms in the case of stationary noise and provides satisfactory performance in the cases of SNS-AWGNs.