Abstract
Developing a variational model that is capable of restoring both smooth (no edges) and non-smooth (with edges) images is still a valid challenge at the image processing. In this paper, we present two methods for image denoising problems based on the use of the LLT model (see [14]) and TV model (see [20]). The idea of our methods is, add the texture which is separated from the cartoon and noisy, back to the original noisy image or the texture plus noisy part, and the sum then processed. In order to obtain the texture, we first separate texture plus noise from cartoon by LLT model, and then use TV model to remove some noisy from texture. Numerical experiments show our method is able to maintain some important information such as small details in the image, and at the same time to get a better visualization.
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