To overcome the weakness of a total variation based model for image restoration, various
high order (typically second order) regularization models have been proposed and studied …

Total variation regularization and anisotropic filtering have been established as standard
methods for image denoising because of their ability to detect and keep prominent edges in …

This paper proposes a new fractional order total variation (TV) denoising method, which
provides a much more elegant and effective way of treating problems of the algorithm …

In this paper, we introduce fractional calculus into image inpainting and propose a new class
of fractional-order variational image inpainting models, in both space and wavelet domains …

In this paper, a new framework of nonlocal deformation in non-rigid image registration is
presented. It is well known that many non-rigid image registration techniques may lead to …

In image processing, the regularization term is always hard to choose. In this paper, we
introduce a model based on the fractional derivative, which is derived from the classical …

Regularization methods are used widely in image selective smoothing and edge preserving
restoration of noisy images. Traditional methods utilize image gradients within regularization …

In this paper, we propose a new metal artifacts reduction algorithm based on fractional-order
total-variation sinogram inpainting model for X-ray computed tomography (CT). The …

Forward‐backward parabolic equations have been studied since the 1980s, but a
mathematically rigorous picture is still far from being established. As quite a number of new …

In this paper, a set of fractional partial differential equations based on fractional total
variation and fractional steepest descent approach are proposed to address the problem of …