Please use this identifier to cite or link to this item: https://doi.org/10.4208/eajam.020310.240610a
Title: Wavelet based restoration of images with missing or damaged pixels
Authors: Ji, H. 
Shen, Z. 
Xu, Y. 
Keywords: Image restoration
Impulsive noise
Sparse approximation
Split bregman method
Tight frame
Issue Date: May-2011
Citation: Ji, H., Shen, Z., Xu, Y. (2011-05). Wavelet based restoration of images with missing or damaged pixels. East Asian Journal on Applied Mathematics 1 (2) : 108-131. ScholarBank@NUS Repository. https://doi.org/10.4208/eajam.020310.240610a
Abstract: This paper addresses the problem of how to restore degraded images where the pixels have been partly lost during transmission or damaged by impulsive noise. A wide range of image restoration tasks is covered in the mathematical model considered in this paper-e.g. image deblurring, image inpainting and super-resolution imaging. Based on the assumption that natural images are likely to have a sparse representation in a wavelet tight frame domain, we propose a regularization-based approach to recover degraded images, by enforcing the analysis-based sparsity prior of images in a tight frame domain. The resulting minimization problem can be solved efficiently by the split Bregman method. Numerical experiments on various image restoration tasks-simultaneously image deblurring and inpainting, super-resolution imaging and image deblurring under impulsive noise-demonstrated the effectiveness of our proposed algorithm. It proved robust to mis-detection errors of missing or damaged pixels, and compared favorably to existing algorithms. © 2011 Global-Science Press.
Source Title: East Asian Journal on Applied Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/115355
ISSN: 20797362
DOI: 10.4208/eajam.020310.240610a
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

8
checked on Jun 18, 2018

WEB OF SCIENCETM
Citations

6
checked on Jun 18, 2018

Page view(s)

42
checked on Feb 27, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.