Adaptive Second-Order Total Variation: An Approach Aware of Slope Discontinuities
KAUST Grant NumberKUK-I1-007-43
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AbstractTotal 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. © 2013 Springer-Verlag.
CitationLenzen F, Becker F, Lellmann J (2013) Adaptive Second-Order Total Variation: An Approach Aware of Slope Discontinuities. Scale Space and Variational Methods in Computer Vision: 61–73. Available: http://dx.doi.org/10.1007/978-3-642-38267-3_6.
SponsorsWe thank Tanja Teuber and Kristian Bredies for kindlyproviding their codes. The work of J.L. was supported by Award No. KUK-I1-007-43, made by King Abdullah University of Science and Technology (KAUST),EPSRC first grant EP/J009539/1, and EPSRC/Isaac Newton Trust Small Grant.
PublisherSpringer Science + Business Media