3 papers
math.OC2016
Analytical aspects of spatially adapted total variation regularisation
Michael Hintermüller, Konstantinos Papafitsoros, Carlos N. Rautenberg
In this paper we study the structure of solutions of the one dimensional weighted total variation regularisation problem, motivated by its application in signal recovery tasks. We…
math.OC2015
Asymptotic behaviour of total generalised variation
Konstantinos Papafitsoros, Tuomo Valkonen
The recently introduced second order total generalised variation functional has been a successful regulariser for image processing purposes. Its definition…
math.OC2013
A study of the one dimensional total generalised variation regularisation problem
Konstantinos Papafitsoros, Kristian Bredies
In this paper we study the one dimensional second order total generalised variation regularisation (TGV) problem with data fitting term. We examine some properties of this…