Title
Fractional Calculus In Image Processing: A Review.
Abstract
Over the last decade, it has been demonstrated that many systems in science and engineering can be modeled more accurately by fractional-order than integer-order derivatives, and many methods are developed to solve the problem of fractional systems. Due to the extra free parameter order a, fractional-order based methods provide additional degree of freedom in optimization performance. Not surprisingly, many fractional-order based methods have been used in image processing field. Herein recent studies are reviewed in ten sub-fields, which include image enhancement, image denoising, image edge detection, image segmentation, image registration, image recognition, image fusion, image encryption, image compression and image restoration. In sum, it is well proved that as a fundamental mathematic tool, fractional-order derivative shows great success in image processing.
Year
DOI
Venue
2016
10.1515/fca-2016-0063
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Keywords
Field
DocType
fractional-order derivative,fractional calculus,image processing
Template matching,Top-hat transform,Feature detection (computer vision),Binary image,Image processing,Fractional calculus,Image restoration,Digital image processing,Mathematics,Calculus
Journal
Volume
Issue
ISSN
19
5
1311-0454
Citations 
PageRank 
References 
14
0.67
48
Authors
4
Name
Order
Citations
PageRank
Qi Yang1140.67
Dali Chen2606.10
tiebiao zhao3172.48
Yangquan Chen42257242.16