Iterative Algorithms Based on Decoupling of Deblurring and Denoising for Image Restoration

Authors:
You-Wei Wen;Michael K. Ng;Wai-Ki Ching
Affiliations:
wenyouwei@graduate.hku.hk;mng@math.hkbu.edu.hk;wching@hkusua.hku.hk
Venue:
SIAM Journal on Scientific Computing
Year:
2008

Citing 0
Cited 8

Deconvolving Poissonian images by a novel hybrid variational model

Journal of Visual Communication and Image Representation
Proximal Algorithms for Multicomponent Image Recovery Problems

Journal of Mathematical Imaging and Vision
Composite splitting algorithms for convex optimization

Computer Vision and Image Understanding
Alternating Krylov subspace image restoration methods

Journal of Computational and Applied Mathematics
An efficient computational approach for multiframe blind deconvolution

Journal of Computational and Applied Mathematics
An Inexact Alternating Directions Algorithm for Constrained Total Variation Regularized Compressive Sensing Problems

Journal of Mathematical Imaging and Vision
Adaptive regularization-based space-time super-resolution reconstruction

Image Communication
Hybrid regularization image deblurring in the presence of impulsive noise

Journal of Visual Communication and Image Representation

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we propose iterative algorithms for solving image restoration problems. The iterative algorithms are based on decoupling of deblurring and denoising steps in the restoration process. In the deblurring step, an efficient deblurring method using fast transforms can be employed. In the denoising step, effective methods such as the wavelet shrinkage denoising method or the total variation denoising method can be used. The main advantage of this proposal is that the resulting algorithms can be very efficient and can produce better restored images in visual quality and signal-to-noise ratio than those by the restoration methods using the combination of a data-fitting term and a regularization term. The convergence of the proposed algorithms is shown in the paper. Numerical examples are also given to demonstrate the effectiveness of these algorithms.