Adaptive Second-Order Total Variation: An Approach Aware of Surface Discontinuities

Frank Lenzen, Florian Becker, Jan Lellmann


Total variation (TV) regularization, originally introduced by Rudin, Osher and Fatemi in the context of image denoising, has become widely used in the field of inverse problems. Two major directions of modifications of the original approach were proposed later on. The first concerns adaptive variants of TV regularization, the second focuses on higher-order TV models. In the present paper, we combine the ideas of both directions by proposing adaptive second-order TV models, including one anisotropic model. Experiments demonstrate that introducing adaptivity results in an improvement of the reconstruction error.

Original languageEnglish
Title of host publicationInternational Conference on Scale Space and Variational Methods in Computer Vision
Publication date2013
Publication statusPublished - 2013


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