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Erschienen in:
2013 | OriginalPaper | Buchkapitel
Adaptive Second-Order Total Variation: An Approach Aware of Slope Discontinuities
verfasst von : Frank Lenzen, Florian Becker, Jan Lellmann
Erschienen in: Scale Space and Variational Methods in Computer Vision
Verlag: Springer Berlin Heidelberg
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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.