Discretization of the gradient field total variation model and application in image denoising

In this paper, a discrete implementation method of the gradient field total variation is deduced, analyzed and tested. We use it to remove the noise in the image. The experiment result the shows that this method is better than the traditional denoising method based on the filter. It is mainly because that, in this method, the gradient of the image is kept unchanged when denoised. At last, It is proved that this method is correct.