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.
Highlights
Fractional calculus is an old and mysterious mathematical discipline dealing with the non- integer order differentiation and integration which is proposed in the seventeenth century and developed mainly in the nineteenth century (Podlubny, 1999)
The concepts of fractional calculus have been widely used in various areas of image processing because of some of its characteristics superior to the integer order, which includes image restoration (Jian and Feng, 2007), enhancement (Pu et al, 2010; Chen et al, 2011, 2012), edge detection (Mathieu et al, 2003), motion estimation (Chen et al, 2010) and so on
The integer-order differential mask is an important tool in edge detection, but it damages the texture detail information in image
Summary
Fractional calculus is an old and mysterious mathematical discipline dealing with the non- integer order differentiation and integration which is proposed in the seventeenth century and developed mainly in the nineteenth century (Podlubny, 1999). 1. Based on the Grünwald-Letnikov fractional derivative definition, when ∈ 0, 1 , the discrete formula of the left fractional order derivative of the digital image in horizontal direction can be defined by the following formula:
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Research Journal of Applied Sciences, Engineering and Technology
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
