Fractional Differential-Based Approach for Robust Image Edge Detection

摘要：

This paper proposes a fractional differential-based image edge detecting algorithm. This algorithm calculates the image gradient using Riemann-Liouville fractional calculus definition instead of the derivative of Gaussian function, and the accuracy and robustness of the edge detecting algorithm is improved. A fractional order differential mask is proposed and analyzed in frequency domain, and the relation between the edge-detecting capability and parameters is shown. Three methods are introduced to evaluate the edge detecting algorithms. Finally, the validity of the proposed algorithm is verified by comparing with six typical image edge detecting algorithms.

关键词： Digital image robust edge detection fractional calculus Riemann-Liouville definition.

作者: Dali Chen Dingyu Xue angQuan Chen

作者单位: College of Information Science and Engineering, NortheasternUniversity, Shenyang, 110004, China Department of Electrical and Computer Engineering, Utah State University, Logan, UT 84322-4160 USA

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-8

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）