基于分数阶微分的边界扫描

Edge Detection Method Based on Fractional Differential

针对基于传统整数阶微分的边缘检测算子对噪声敏感的缺点,由信号的微分特性得出了基于分数阶微分的边缘检测算法。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,构造了几种常见的模板算子对图像进行卷积运算提取图像边缘信息。实验表明,基于分数阶微分的边缘检测算法比整数阶微分算子能更好的提取边缘信息,同时具有更高的信噪比。

To overcome the defects of sensitive to noise of edge detection opera tor based on traditional integral differential approach,obtained edge detection algorithm based on fractional differential according to differential characteritics of signal.According to fractional order differential difference function which was deduced from classical fractional differential G-L definition,several common templates was constructed,which ecxtracted edge information by convolution on image.Experiments shows that edge detection method based on fractional differential can effectively extract edge information and has higher SNR than traditional operators.