Fractional-order TV-L2 model for image denoising

• Authors: Dali Chen , Shenshen Sun , Congrong Zhang , YangQuan Chen , Dingyu Xue
• Languages of publication: EN

Abstracts

EN

This paper proposes a new fractional order total variation (TV) denoising method, which provides a much more elegant and effective way of treating problems of the algorithm implementation, ill-posed inverse, regularization parameter selection and blocky effect. Two fractional order TV-L2 models are constructed for image denoising. The majorization-minimization (MM) algorithm is used to decompose these two complex fractional TV optimization problems into a set of linear optimization problems which can be solved by the conjugate gradient algorithm. The final adaptive numerical procedure is given. Finally, we report experimental results which show that the proposed methodology avoids the blocky effect and achieves state-of-the-art performance. In addition, two medical image processing experiments are presented to demonstrate the validity of the proposed methodology.

Keywords

EN

image denoising; fractional calculus; total variation; majorization-minimization algorithm

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1414-1422

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Dali Chen

• Information Science and Engineering, Northeastern University, Wenhua Road 3-11, Heping Districe, 110819, Shenyang, Liaoning, China

author

Shenshen Sun

• Information Science and Engineering, Northeastern University, Wenhua Road 3-11, Heping Districe, 110819, Shenyang, Liaoning, China

author

Congrong Zhang

• Information Science and Engineering, Northeastern University, Wenhua Road 3-11, Heping Districe, 110819, Shenyang, Liaoning, China

author

YangQuan Chen

• MESA Lab, University of California, Merced, 5200 North Lake Road, Merced, CA, 95343, USA

author

Dingyu Xue

• Information Science and Engineering, Northeastern University, Wenhua Road 3-11, Heping Districe, 110819, Shenyang, Liaoning, China

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Identifiers

DOI

10.2478/s11534-013-0241-1