Research Article | OPEN ACCESS
Non-Local Fractional Differential-Based Approach for Image Enhancement
1Da-Li Chen, 1Cong-Rong Zheng, 1Ding-Yu Xue and 2Yang-Quan Chen
1College of Information Science and Engineering, Northeastern University, Shenyang, China
2MESA Lab, University of California, Merced, 5200 North Lake Road Merced, CA, USA
Research Journal of Applied Sciences, Engineering and Technology 2013 17:3244-3250
Received: December 31, 2012 | Accepted: January 31, 2013 | Published: September 20, 2013
Abstract
This study proposed an image enhancing method which is based on the non-local fractional order differential operator. In this method, a matrix form representation of discrete fractional order differentiation is introduced to enhance the digital image, which is effective to reduce the computation error caused by the traditional local approximate method of the fractional order differentiation. The proposed enhancing method is able to make effective use of the whole image information and improve the enhancing performance of the image enhancing algorithm based on the local mask. The color image enhancing strategy based on the non-local fractional differential also is given. A lot of experiments demonstrate that the proposed method is capable of enhancing gray and color image effectively.
Keywords:
Digital image, fractional differential, image enhancement, non-local,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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