Title
An Effective Weighted Hybrid Regularizing Approach for Image Noise Reduction
Abstract
Digital images are mostly noised due to transmission and capturing disturbances. Hence, denoising becomes a notable issue because of the necessity of removing noise before its use in any application. In denoising, the important challenge is to remove the noise while protecting true information and avoiding undesirable modification in the images. The performance of classical denoising methods including convex total variation or some nonconvex regularizers is not effective enough. Thus, it is still an ongoing research toward better denoising result. Since edge preservation is a tricky issue during denoising process, designing an appropriate regularizer for a given fidelity is a mostly crucial matter in real-world problems. Therefore, we attempt to design a robust smoothing term in energy functional so that it can reduce the possibility of discontinuity and distortion of image edge details. In this work, we introduce a new denoising technique that inherits the benefits of both convex and nonconvex regularizers. The proposed method encompasses with a novel weighted hybrid regularizer in variational framework to ensure a better trade-off between the noise removal and image edge preservation. A new algorithm based on Chambolle’s method and iteratively reweighting method is proposed to solve the model efficiently. The numerical results ensure that the proposed hybrid denoising approach can perform better than the classical convex, nonconvex regularizer-based denoising and some other methods.
Year
DOI
Venue
2019
10.1007/s00034-018-0853-1
Circuits, Systems, and Signal Processing
Keywords
Field
DocType
Image denoising,Total variation,Euler Lagrange equation,Nonconvex regularizer,Dual projection
Noise reduction,Fidelity,Mathematical optimization,Discontinuity (linguistics),Regular polygon,Digital image,Smoothing,Energy functional,Distortion,Mathematics
Journal
Volume
Issue
ISSN
38
1
1531-5878
Citations 
PageRank 
References 
0
0.34
54
Authors
4
Name
Order
Citations
PageRank
Md. Robiul Islam100.34
Chen Xu226929.36
Rana Aamir Raza310.70
Yu Han400.34