| 基于分数阶微分的边缘检测 |
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| 引用本文： | 杨柱中,周激流,黄梅.基于分数阶微分的边缘检测[J].四川大学学报(工程科学版),2008,40(1):152-157. |
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| 作者姓名： | 杨柱中 周激流 黄梅 |
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| 作者单位： | 1. 四川大学,电子信息学院,四川,成都,610064
2. 四川大学,计算机学院,四川,成都,610064 |
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| 基金项目： | 国家自然科学基金
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高等学校博士学科点专项科研项目 |
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| 摘 要： | 为了提高图像边缘提取的信噪比,更有效和准确检测图像边缘,由信号的微分特性得出分数阶微分算子较传统1阶和2阶微分算子具有更高的信噪比,然后根据经典的G-L分数阶微分定义推导出的分数阶差分方程,构建了近似的分数阶Tiansi模板.实验证明,基于分数阶微分的边缘提取算子,可以有效提取边缘和有比传统的算子更高的信噪比.
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| 关 键 词： | 分数阶微分 边缘检测 微分阶数 掩模模板 峰值信噪比(PSNR) |
| 文章编号： | 1009-3087（2008）01-0152-06 |
| 收稿时间： | 2007-04-24 |
| 修稿时间： | 2007年4月24日 |
Edge Detection Based on Fractional Differential |
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| YANG Zhu-zhong,ZHOU Ji-liu,HUANG Mei,YAN Xiang-yu.Edge Detection Based on Fractional Differential[J].Journal of Sichuan University (Engineering Science Edition),2008,40(1):152-157. |
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| Authors: | YANG Zhu-zhong ZHOU Ji-liu HUANG Mei YAN Xiang-yu |
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| Affiliation: | School of Electronics and Info. Eng., Sichuan Univ., Chengdu 610064,China;School of Computer Sci. (Software),Sichuan Univ., Chengdu 610064,China;School of Electronics and Info. Eng., Sichuan Univ., Chengdu 610064,China |
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| Abstract: | In order to improve signal noise ratio (SNR) of edge extraction, and to detect edge more effectively and exactly,according to fractional order differential difference function which was deduced from classical fractional differential G-L definition, an approximate fractional order differential Tiansi module was constructed. Experiments show that fractional differential operator can effectively extract edge information and has higher SNR than traditional operators. |
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| Keywords: | fractional differential edge detection differential order cover module peak signal noise ratio |
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