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投稿时间：2007-04-24
投稿时间：2007-04-24
中文摘要: 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。
中文关键词: 分数阶微分 边缘检测 微分阶数 掩模模板 峰值信噪比(PSNR)
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.
keywords: fractional differential edge detection differential order cover module peak signal noise ratio
文章编号：20080129 中图分类号： 文献标志码：
基金项目:国家自然科学基金资助项目(60572033);教育部博士点基金资助项目(20020610013)
作者简介:
引用文本：
杨柱中,周激流,黄梅.基于分数阶微分的边缘检测[J].工程科学与技术,2008,40(1):152-157.
.Edge Detection Based on Fractional Differential[J].Advanced Engineering Sciences,2008,40(1):152-157.
引用文本：
杨柱中,周激流,黄梅.基于分数阶微分的边缘检测[J].工程科学与技术,2008,40(1):152-157.
.Edge Detection Based on Fractional Differential[J].Advanced Engineering Sciences,2008,40(1):152-157.