| 利用1~2阶分数阶微分掩模的边缘检测 |
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| 引用本文： | 李军成.利用1~2阶分数阶微分掩模的边缘检测[J].计算机工程与应用,2014(21):14-18. |
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| 作者姓名： | 李军成 |
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| 作者单位： | 湖南人文科技学院 数学系,湖南 娄底,417000 |
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| 基金项目： | 湖南省自然科学基金(No.13JJ6081)；湖南人文科技学院省级重点建设学科“计算机应用技术”资助。 |
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| 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。
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| 关 键 词： | 边缘检测 分数阶微分 掩模算子 1~2阶微分 |
Edge detection using 1~2-order fractional differential mask |
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| LI Juncheng.Edge detection using 1~2-order fractional differential mask[J].Computer Engineering and Applications,2014(21):14-18. |
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| Authors: | LI Juncheng |
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| Affiliation: | LI Juncheng (Department of Mathematics, Hunan University of Humanities, Science and Technology, Loudi, Hunan 417000, China) |
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| 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 detec-tion 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 frac-tional differential operators. |
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| Keywords: | edge detection fractional differentiation mask operator 1~2-order differential |
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