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

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    Type
    Book Chapter
    Authors
    Lenzen, Frank
    Becker, Florian
    Lellmann, Jan
    KAUST Grant Number
    KUK-I1-007-43
    Date
    2013
    Permanent link to this record
    http://hdl.handle.net/10754/597460
    
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    Abstract
    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. © 2013 Springer-Verlag.
    Citation
    Lenzen 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.
    Sponsors
    We 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.
    Publisher
    Springer Nature
    Journal
    Scale Space and Variational Methods in Computer Vision
    DOI
    10.1007/978-3-642-38267-3_6
    ae974a485f413a2113503eed53cd6c53
    10.1007/978-3-642-38267-3_6
    Scopus Count
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