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Image Denoising Using Fractional-Order Non-Local TV Model

Published: 10 July 2014 Publication History

Abstract

A fractional order non-local denoising algorithm and the implementation of fractional order non-local filter are introduced and discussed in this paper. The proposed regularize image denoising problem using a total variation (TV) prior on a graph, which based on the Riemann-Liouville numerical algorithm of fractional differential. The solution of this model is obtained by solving the minimum of the fractional functional. An efficient numerical method based on the dual theory is introduced to solve the corresponding Euler-Lagrange equation. The relationship between the regularization parameter and fractional-order is analyzed, which provides an important basis for the design of optimal strategy. The experiments demonstrate the validity of this fractional-order non-local TV model. The results of emulation experiments show that our algorithm's performance is prior to the Gaussian smoothing filter.

References

[1]
Vishwadeep Gang, Kulbir singh, An improved Grunwld-Letnikov fractional differential mask for image texture enhancement, International of Advanced Computer Science and Applications, 3(3):130--135, 2012.
[2]
Cangpin Li, Deliang Qian, YangQuan Chen, On Riemann-Liouville and caputo derivatives, Discrete Dynamics in Nature and Society, Volume 2011, Article ID 562494.
[3]
Zoubir Dahmani, Louiza Tabharit, Fractional order differential equations involving Caputo derivative, Theory and applications of mathematics & computer science, 4(1), 2014.
[4]
Qiangli Chen, Guo Huang, Rui Sun, Yong Shu, Yifei Pu, Ji-liu Zhou, A Riemann-Liouville fractional differential image enhancement algorithm based on human visual characteristics, Journal of Sichuan University (Engineering science edition), 2012--01.
[5]
Dali Chen, Yangquan Chen, Dingyu Xue, Three fractional-order TV-L2 models for image denoising, Journal of Computational Information System, 9(12): 4773--4780, 2013.
[6]
Chaobang Gao, Jiliu Zhou, Ziuqing Zheng, Fangnian Lang, Image enhancement based on improved fractional differentiation, Journal of Computational Information Systems, 7(1):257--264, 2011.
[7]
Yan Liu, Yifei Pu, Jiliu Zhou, Design of image denoising filtering based on fractional integral, Journal of Computational Information Systems, 6(9):2839--2847, 2010.
[8]
Dali Chen, Dingyu Xue, Yangquan Chen, Fractional differential-based approach for CT image enhancement, Advanced Materials Research, Vols. 634-638: 3962--3965, 2013.
[9]
Jun Zhang, Zhihui Wei, A class of fractional-order multi-scale variational models and alternating projection algorithm for image denoising, Applied Mathematical Modelling, 35(5):2516--2528, 2011.
[10]
V.R. Vijaykumar, P.T. Vanathi, P. Kanagasabapathy, Fast and efficient algorithm to remove Gaussian noise in digital images, IAENG International Journal of Computer Science, 37(1): IJCS_37_1_09, 2010.
[11]
Dali Chen, CongRong Zheng, Dingyu xue, Yangquan Chen, Non-local fractional differential-based approach for image enhancement, Research Journal of Applied Science, Engineering and Technology, 6(17):3244--3250, 2013.
[12]
G. Peyré, S. Bougleux, L. Cohen, Non-local regularization of inverse problems, Inverse Problems and Imaging, 5(2): 511--530, 2011.
[13]
R.H. Chan, A. Lanza, S. Morigi, F. Sgallari, An adaptive strategy for the restoration of textured images using fractional order regularization, Numerical Mathematics: Theory, Methods and Applications, 6(2013): 276--296.
[14]
Jinrong Hu, Yi-Fei Pu, Jiliu Zhou: A Novel Image Denoising Algorithm Based on Riemann-Liouville Definition. JCP 6(7): 1332--1338, 2011.
[15]
Yifei Pu, Jiliu Zhou, Xiao Yuan: Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement. IEEE Transactions on Image Processing 19(2): 491--511, 2010.
[16]
Yifei Pu, Weixing Wang, Jiliu Zhou, Yiyang Wang, Huading Jia, Fractional differential approach to detecting texture features of digital image and its fractional differential filter implementation, 51(9):1319--1339, 2008.
[17]
A. Buades, B. Coll, J. M. Morel, Image denoising methods. A new nonlocal principles, Society for Industrial and Applied Mathematics, 52 (1): 113--147, 2010.
[18]
Jian Bai, XiangChu Feng, Fractional-order anisotropic diffusion for image denoising, IEEE Transactions on image Processing, 16(10): 2492--2502, 2007.
[19]
P. Perona, J. Malik, Scale-space and edge detection using anisotropic diffusion, IEEE Transactions on Pattern Analysis and Machine Intelligence, 12(7): 629--639, 1990.
[20]
L. Ruding, S. Osher, E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D, 60(1-4):259--268, 1992.

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  • (2017)Adaptive Bregmanized total variation model for mixed noise removalAEU - International Journal of Electronics and Communications10.1016/j.aeue.2017.06.02380(29-35)Online publication date: Oct-2017

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      cover image ACM Other conferences
      ICIMCS '14: Proceedings of International Conference on Internet Multimedia Computing and Service
      July 2014
      430 pages
      ISBN:9781450328104
      DOI:10.1145/2632856
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      • NSF of China: National Natural Science Foundation of China
      • Beijing ACM SIGMM Chapter

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      New York, NY, United States

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      Published: 10 July 2014

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      Author Tags

      1. Euler-Lagrange Equation
      2. Fractional Order Derivative
      3. Image Denoising
      4. Non Local Graph
      5. TV Model

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      • (2017)Adaptive Bregmanized total variation model for mixed noise removalAEU - International Journal of Electronics and Communications10.1016/j.aeue.2017.06.02380(29-35)Online publication date: Oct-2017

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