计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (21): 14-18.

• 博士论坛 • 上一篇    下一篇

利用1~2阶分数阶微分掩模的边缘检测

李军成   

  1. 湖南人文科技学院 数学系,湖南 娄底 417000
  • 出版日期:2014-11-01 发布日期:2014-10-28

Edge detection using 1~2-order fractional differential mask

LI Juncheng   

  1. Department of Mathematics, Hunan University of Humanities, Science and Technology, Loudi, Hunan 417000, China
  • Online:2014-11-01 Published:2014-10-28

摘要: 现有的分数阶微分边缘检测算子大都是基于0~1阶分数阶微分而构造,鲜有文献讨论基于1~2阶分数阶微分的边缘检测算子。为此,分析了1~2阶分数阶微分对信号的作用,基于1~2阶分数阶微分构造了一种新的边缘检测掩模算子。实验结果表明,该算子不仅优于常用整数阶微分算子,而且比现有的一些0~1阶分数阶微分算子具有更好的边缘检测效果。

关键词: 边缘检测, 分数阶微分, 掩模算子, 1~2阶微分

Abstract: The present fractional differential operators for edge detection are constructed based on 0~1-order fractional differential. There are rare papers which discuss the edge detection based on 1~2-order fractional differential. This paper analyses the effect of 1~2-order fractional differential to signal, and then constructs a novel mask operator for edge detection based on 1~2-order fractional differential. Experimental results demonstrate that the novel fractional operator is better than the normal integer order differential operators, and has better edge detection results than some present 0~1-order fractional differential operators.

Key words: edge detection, fractional differentiation, mask operator, 1~2-order differential