A study of the one dimensional total generalised variation regularisation problem

Konstantinos Papafitsoros, Kristian Bredies

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

© 2015 American Institute of Mathematical Sciences. In this paper we study the one dimensional second order total generalised variation regularisation (TGV) problem with L2 data fitting term. We examine the properties of this model and we calculate exact solutions using simple piecewise affine functions as data terms. We investigate how these solutions behave with respect to the TGV parameters and we verify our results using numerical experiments.
Original languageEnglish (US)
Pages (from-to)511-550
Number of pages40
JournalInverse Problems and Imaging
Volume9
Issue number2
DOIs
StatePublished - Mar 24 2015
Externally publishedYes

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