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一种基于分数阶次微积分模板的新型边缘检测方法

何春 叶永强 姜斌 周鑫

何春, 叶永强, 姜斌, 周鑫. 一种基于分数阶次微积分模板的新型边缘检测方法. 自动化学报, 2012, 38(5): 776-787. doi: 10.3724/SP.J.1004.2012.00776
引用本文: 何春, 叶永强, 姜斌, 周鑫. 一种基于分数阶次微积分模板的新型边缘检测方法. 自动化学报, 2012, 38(5): 776-787. doi: 10.3724/SP.J.1004.2012.00776
HE Chun, YE Yong-Qiang, JIANG Bin, ZHOU Xin. A Novel Edge Detection Method Based on Fractional-order Calculus Mask. ACTA AUTOMATICA SINICA, 2012, 38(5): 776-787. doi: 10.3724/SP.J.1004.2012.00776
Citation: HE Chun, YE Yong-Qiang, JIANG Bin, ZHOU Xin. A Novel Edge Detection Method Based on Fractional-order Calculus Mask. ACTA AUTOMATICA SINICA, 2012, 38(5): 776-787. doi: 10.3724/SP.J.1004.2012.00776

一种基于分数阶次微积分模板的新型边缘检测方法

doi: 10.3724/SP.J.1004.2012.00776
详细信息
    通讯作者:

    叶永强, 南京航空航天大学自动化学院教授. 2004 年在南洋理工大学电气与电子工程学院获博士学位. 主要研究方向为电力电子系统及控制, 应用控制理论, 图像处理.

A Novel Edge Detection Method Based on Fractional-order Calculus Mask

  • 摘要: 利用分数阶次微分和分数阶次积分组成复合导数, 在复合导数基础上提出了一种边缘检测新算子. 为实现分数阶次微分, 推导出一种新的复数模板. 通过检测一维曲线, 验证了复合导数可以近似模拟一阶导数并具有抑制噪声的能力. 二维图像的检测结果表明, 新算子在无噪声干扰情况下可以精确、有效地完成边缘检测任务; 在有噪声情况下可以有效地抑制噪声干扰. 最后, 对新算子进行了定量分析并与 Canny 算子进行比较. 结果表明新算子具有低定位错误率的优势.
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出版历程
  • 收稿日期:  2011-05-20
  • 修回日期:  2011-12-20
  • 刊出日期:  2012-05-20

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