基于分数阶积分的图像去噪

为了在图像去噪的同时更多地保留图像的细节信息，介绍了分数阶积分算子在信号滤波中的作用，并将分数阶积分理论引入到数字图像去噪。该方法通过设定较小的分数积分阶次来构建相应的图像去噪掩模，并且利用迭代的思想来控制图像去噪的效果，从而实现图像去噪的局部微调。实验结果表明，基于分数阶积分的图像去噪算法较传统去噪方法不仅可以提高图像的信噪比，而且可以更好地保留图像的边缘和纹理等细节信息。

Research on image denoising based on fractional order integral

In order to preserve more image details information while image denoising, the function of the fractional order integral operator in signal processing is described, and the fractional integral theory is introduced into the digital image denoising. The proposed method constructs the corresponding mask of image denoising by setting a smaller fractional order and controls the effect of image denoising by the way of iteration, so it achieves the local fine tuning of image denoising. The experimental results show that compared with the traditional image denoising algorithm, the proposed image denoising algorithm based on fractional order integral can not only enhance the signal to noise ratio of images but also better retain the edge and texture details information of images.