most citedA higher order TV-type variational problem related to the denoising and inpainting of images

9 citations · 12 across the 4 of their papers we have counts for

collaborators

5 papers

cs.CV2021

A Random Point Initialization Approach to Image Segmentation with Variational Level-sets

J. N. Mueller, J. N. Corcoran

Image segmentation is an essential component in many image processing and computer vision tasks. The primary goal of image segmentation is to simplify an image for easier analysis,…

math.AP2018

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…

math.AP2018★ 9 cited

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…

math.AP2018★ 2 cited

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…

math.AP2018★ 1 cited

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…