A simple and flexible modification of Grunwald-Letnikov fractional derivative in image processing

被引：9
|
作者：
Jalalinejad, H. [1 ]
Tavakoli, A. [2 ]
Zarmehi, F. [3 ]
机构：
[1] Islamic Azad Univ, Kerman Branch, Dept Math, Kerman, Iran
[2] Univ Mazandaran, Math Dept, Babol Sar, Iran
[3] Vali E Asr Univ Rafsanjan, Math Dept, POB 518, Rafsanjan, Iran
来源：
MATHEMATICAL SCIENCES | 2018年 / 12卷 / 03期
关键词：
Grunwald-Letnikov fractional derivative; Image enhancement; Edge detection; DIFFERENTIATION; DIFFUSION; EQUATION; TEXTURE;
D O I：
10.1007/s40096-018-0260-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In image processing, edge detection and image enhancement can make use of fractional differentiation operators, especially the Grunwald-Letnikov derivative. In this paper, we present a modified Grunwald-Letnikov derivative to enhance more and detect better the edges of an image. Our proposed fractional derivative is very flexible and can be easily performed. We present some examples to justify our suggested approach.
引用
收藏
页码：205 / 210
页数：6
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