A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions

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Details zur Publikation

Autorinnen und Autoren: Burger M, Korolev Y, Schönlieb CB, Stollenwerk C
Herausgeber: Jan Lellmann, Jan Modersitzki, Martin Burger
Verlag: Springer Verlag
Jahr der Veröffentlichung: 2019
Band: 11603 LNCS
Tagungsband: Lecture Notes in Computer Science
Seitenbereich: 485-497
ISBN: 9783030223670
ISSN: 0302-9743


Abstract

We introduce a new regularizer in the total variation family that promotes reconstructions with a given Lipschitz constant (which can also vary spatially). We prove regularizing properties of this functional and investigate its connections to total variation and infimal convolution type regularizers (Formula Presented) and, in particular, establish topological equivalence. Our numerical experiments show that the proposed regularizer can achieve similar performance as total generalized variation while having the advantage of a very intuitive interpretation of its free parameter, which is just a local estimate of the norm of the gradient. It also provides a natural approach to spatially adaptive regularization.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Burger, Martin Prof. Dr.
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)


Einrichtungen weiterer Autorinnen und Autoren

University of Cambridge
Westfälische Wilhelms-Universität (WWU) Münster


Zitierweisen

APA:
Burger, M., Korolev, Y., Schönlieb, C.B., & Stollenwerk, C. (2019). A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions. In Jan Lellmann, Jan Modersitzki, Martin Burger (Eds.), Lecture Notes in Computer Science (pp. 485-497). Hofgeismar, DE: Springer Verlag.

MLA:
Burger, Martin, et al. "A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions." Proceedings of the 7th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2019, Hofgeismar Ed. Jan Lellmann, Jan Modersitzki, Martin Burger, Springer Verlag, 2019. 485-497.

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Zuletzt aktualisiert 2019-16-07 um 13:23