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SCALESPACE
2015
Springer

Asymptotic Behaviour of Total Generalised Variation

8 years 6 months ago
Asymptotic Behaviour of Total Generalised Variation
Abstract. 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) regularisation.
Konstantinos Papafitsoros, Tuomo Valkonen
Added 17 Apr 2016
Updated 17 Apr 2016
Type Journal
Year 2015
Where SCALESPACE
Authors Konstantinos Papafitsoros, Tuomo Valkonen
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