4 papers
Signal recovery via TV-type energies
Martin Fuchs, Jan Mueller, Christian Tietz
We consider one-dimensional variants of the classical first order total variation denoising model introduced by Rudin, Osher and Fatemi. This study is based on our previous work on…
A higher order TV-type variational problem related to the denoising and inpainting of images
Martin Fuchs, Jan Mueller
We give a comprehensive survey on a class of higher order variational problems which are motivated by applications in mathematical imaging. The overall aim of this note is to inves…
Existence and almost everywhere regularity of generalized minimizers for a class of variational problems with linear growth related to image inpainting
Jan Mueller, Christian Tietz
We continue the analysis of some modifications of the total variation image inpainting method formulated on the space in the sense that we generalize the main results of…
A density result for Sobolev functions and functions of higher order bounded variation with additional integrability constraints
Jan Mueller
We prove density of smooth functions in subspaces of Sobolev- and higher order -spaces of kind and , respectively, where $Ω\subs…