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利用复合导数的边缘检测新算法.doc

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利用复合导数的边缘检测新算法.doc

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利用复合导数的边缘检测新算法
程金梅,叶永强,姜斌
(南京航空航天大学自动化学院,南京 210016)
摘要:图像是人类获取和交换信息的主要来源。图像的边缘是图像最基本也是最重要的特征之一。图像边缘检测是计算机视觉和图像处理领域的经典研究课题。本文提出了由分数阶次微积分组合而成的复合导数概念,并在该复合导数的基础上提出了一种边缘检测新方法。通过实验验证了新算法的有效性,展现了新算子在检测精准度与抗噪性两方面的特点。最后,对新算子与两种经典算子Canny和CRONE进行了定性和定量的分析和比较。通过比较,新算法的优越性体现在边缘定位准确,在很好地抑制虚假边缘的同时能够检测出精细的真实边缘。
关键词:图像处理;边缘检测;分数阶次微积分;检测精准度;抗噪性;定性和定量分析和比较
A novel edge detection algorithm using posite derivative
CHENG Jinmei ,YE Yongqiang,JIANG Bin
(College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016)
Abstract : Image is the main source through which human acquires and exchanges information. Image edge is one of the most fundamental and important feature of image. Edge detection is a classic research problem puter vision and image processing. The paper presents a new edge detection operator based on posite derivative, which is realized by bination of fractional differentiation and integration. The features of the new operator, in terms of detection accuracy and noise immunity, are demonstrated through experiments, and the experimental results verify the effectiveness of the new operator. Finally, qualitative and parisons of the new operator with the two classical operators, Canny and CRONE, are performed. parisons show the superiority of the new algorithm, which is reflected in the abilities of acc