Asymptotic Behaviour of Total Generalised Variation

Konstantinos Papafitsoros, Tuomo Valkonen

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Scopus citations

Abstract

© Springer International Publishing Switzerland 2015. The recently introduced second order total generalised variation functional TGV2 β,α has been a successful regulariser for image processing purposes. Its definition involves two positive parameters α and β whose values determine the amount and the quality of the regularisation. In this paper we report on the behaviour of TGV2 β,α in the cases where the parameters α, β as well as their ratio β/α becomes very large or very small. Among others, we prove that for sufficiently symmetric two dimensional data and large ratio β/α, TGV2 β,α regularisation coincides with total variation (TV) regularization
Original languageEnglish (US)
Title of host publicationScale Space and Variational Methods in Computer Vision
PublisherSpringer Nature
Pages702-714
Number of pages13
ISBN (Print)9783319184609
DOIs
StatePublished - Apr 28 2015
Externally publishedYes

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