A Variation Method Based on Convolution Integral for Image Denoising
一种基于卷积积分的图像去噪变分方法

It is important to preserve more detailed information in image denoising.In this paper,we extend the total variation model for image denoising is which based on gradient to a new model based on fractional derivative,and then making use of the characteristic that fractional derivative and convolution integral have the same discrete formula in certain situation,We propose a variational model based on convolution integral which can be computed easily.The numerical results show that our model can not only better improve the PSNR of image,but also preserve more detailed information.