Title
Four-directional fractional-order total variation regularization for image denoising.
Abstract
Noise removal is a fundamental problem in image processing. Among many approaches, total variation (TV) has attracted great attention because of its advantage in preserving edges. However, it tends to exhibit some undesired staircase artifacts. Fractional-order TV (FTV) can overcome the drawback mentioned above, yet it does not take enough neighborhood information into account. An extension of FTV, four-directional FTV (FTV4) is put forward to explore more directional information of an image. We solve this FTV4 model by adopting the split Bregman algorithm and fast Fourier transform theory. An accelerated step is added in the algorithm to make it converge faster. To decrease the computation time, we introduce the convolution theory and calculate the matrix difference in the frequency domain instead of space domain. Experimental results show that the proposed image denoising model performs better than other state-of-the-art models in most cases. (C) 2017 SPIE and IS&T
Year
DOI
Venue
2017
10.1117/1.JEI.26.5.053003
JOURNAL OF ELECTRONIC IMAGING
Keywords
Field
DocType
four-directional fractional-order total variation,fast Fourier transform,fast split Bregman,accelerated step,image denoising
Frequency domain,Pattern recognition,Convolution,Matrix (mathematics),Non-local means,Computer science,Image processing,Fast Fourier transform,Total variation denoising,Artificial intelligence,Computation
Journal
Volume
Issue
ISSN
26
5
1017-9909
Citations 
PageRank 
References 
1
0.35
20
Authors
5
Name
Order
Citations
PageRank
Linna Wu110.35
Yingpin Chen223.10
Jiaquan Jin310.35
Hongwei Du4437.29
Bensheng Qiu5116.59