The fast Fourier transform and its applications
The fast Fourier transform and its applications
Fundamentals of digital image processing
Fundamentals of digital image processing
Ten lectures on wavelets
Digital Image Processing
Digital Image Restoration
Wavelets and curvelets for image deconvolution: a combined approach
Signal Processing - Special section: Security of data hiding technologies
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Generalized SURE for exponential families: applications to regularization
IEEE Transactions on Signal Processing
A Nonlinear Stein-Based Estimator for Multichannel Image Denoising
IEEE Transactions on Signal Processing - Part II
Time-invariant orthonormal wavelet representations
IEEE Transactions on Signal Processing
ForWaRD: Fourier-wavelet regularized deconvolution for ill-conditioned systems
IEEE Transactions on Signal Processing
On denoising and best signal representation
IEEE Transactions on Information Theory
Spatially adaptive wavelet-based multiscale image restoration
IEEE Transactions on Image Processing
Deconvolution by thresholding in mirror wavelet bases
IEEE Transactions on Image Processing
An EM algorithm for wavelet-based image restoration
IEEE Transactions on Image Processing
Building robust wavelet estimators for multicomponent images using Stein's principle
IEEE Transactions on Image Processing
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
Image analysis using a dual-tree M-band wavelet transform
IEEE Transactions on Image Processing
A New SURE Approach to Image Denoising: Interscale Orthonormal Wavelet Thresholding
IEEE Transactions on Image Processing
The SURE-LET Approach to Image Denoising
IEEE Transactions on Image Processing
A New TwIST: Two-Step Iterative Shrinkage/Thresholding Algorithms for Image Restoration
IEEE Transactions on Image Processing
Image Restoration Using Space-Variant Gaussian Scale Mixtures in Overcomplete Pyramids
IEEE Transactions on Image Processing
A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution
IEEE Transactions on Image Processing
SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding
IEEE Transactions on Image Processing
Optimal Denoising in Redundant Representations
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
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In this paper, we are interested in the classical problem of restoring data degraded by a convolution and the addition of a white Gaussian noise. The originality of the proposed approach is twofold. First, we formulate the restoration problem as a nonlinear estimation problem leading to the minimization of a criterion derived from Stein's unbiased quadratic risk estimate. Secondly, the deconvolution procedure is performed using any analysis and synthesis frames that can be overcomplete or not. New theoretical results concerning the calculation of the variance of the Stein's risk estimate are also provided in this work. Simulations carried out on natural images show the good performance of our method with respect to conventional wavelet-based restoration methods.