Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/26595
Title: An additive convolution model for fast restoration of nonuniform blurred images
Authors: Deng, H
Zuo, W
Zhang, H
Zhang, D 
Keywords: Generalized accelerated proximal gradient
Image restoration
Nonuniform blurring
Principal component analysis
Total variation
Issue Date: 2014
Publisher: Taylor and Francis Ltd.
Source: International journal of computer mathematics, 2014, v. 91, no. 11, p. 2446-2466 How to cite?
Journal: International Journal of Computer Mathematics 
Abstract: Nonuniform blurring would be introduced during imaging by many inevitable factors, such as defocus, camera shake, or motion. Fast restoration of nonuniform blurred images, however, remains a challenging problem. The sparse blur matrix-based approach models nonuniform blurring as the multiplication of a high-dimensional sparse blur matrix and an image vector, and suffers from the high computational and memory complexity problems. To tackle these, we propose an additive convolution model (ACM) which models nonuniform blurring as the space variant weighted sum of the convolution images of a set of basis filters. We further propose a principal component analysis-based method to learn the basis filters and weight matrices. Finally, we incorporate ACM with the total variation-based restoration model, and adopt the generalized accelerated proximal gradient algorithm for the restoration of nonuniform blurred images. Numerical results show that the proposed method is effective for the restoration of nonuniform blurred images caused by defocus or camera shake, and is superior to the sparse matrix-based approach in terms of computational and memory complexity.
URI: http://hdl.handle.net/10397/26595
ISSN: 0020-7160
DOI: 10.1080/00207160.2013.811235
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

6
Last Week
0
Last month
0
Citations as of Jul 30, 2017

WEB OF SCIENCETM
Citations

5
Last Week
0
Last month
1
Citations as of Aug 15, 2017

Page view(s)

65
Last Week
1
Last month
Checked on Aug 21, 2017

Google ScholarTM

Check

Altmetric



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