We revisit total variation denoising and study an augmented model where we assume that an estimate of the image gradient is available. We show that this increases the image reconstruction quality and derive that the resulting model resembles the total generalized variation denoising method, thus providing a new motivation for this model. Further, we propose to use a constraint denoising model a...

Abstract We give Hardy–Stein and Douglas identities for nonlinear nonlocal Sobolev–Bregman integral forms with unimodal Lévy measures. prove that the corresponding Poisson defines an extension operator spaces. As application, we obtain boundedness of Dirichlet-to-Neumann on weighted $$L^p$$ L p</mml:mi...