分数阶微分梯度算子在图像增强中的应用

Application of fractional-order differential gradient operator in image enhancement

利用分数阶微积分的定义,根据频率域的滤波基础,推导出分数阶微分梯度算子的频率域滤波器,并在实验中得以实现。实验结果表明,与其他的一些方法相比,这种滤波器对图像增强的效果更好。提出了使用分数阶微分和积分对图像进行综合处理的一种新方法,在增强图像细节的同时,能够有效地消除噪声。

Using the definitions of fractional-order differential and integral, fractional-order differential gradient operator filters in frequency are inferred based on the frequency domain filter foundation, and they are realized in experiments. The experiment results show that the filter is better than other methods in image enhancement. A new rhethod using both fractional-order differential and integral to process images synthetically is proposed. It can enhance the images' details while eliminate the noise effectively.