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Bergmann, R.* ; Weinmann, A.

A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data.

J. Math. Imaging Vis. 55, 401-427 (2016)
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Open Access Green as soon as Postprint is submitted to ZB.
In this paper, we consider denoising and inpainting problems for higher dimensional combined cyclic and linear space-valued data. These kinds of data appear when dealing with nonlinear color spaces such as HSV, and they can be obtained by changing the space domain of, e.g., an optical flow field to polar coordinates. For such nonlinear data spaces, we develop algorithms for the solution of the corresponding second-order total variation-type problems for denoising, inpainting as well as the combination of both. We provide a convergence analysis and apply the algorithms to concrete problems.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Combined Denoising And Inpainting ; Cyclic Data ; Cyclic Proximal Point Algorithm ; Higher Order Total Variation Minimization ; Vector-valued Tv; Proximal Point Algorithm; Total Variation Minimization; Total Generalized Variation; Extrinsic Sample Means; Riemannian-manifolds; Image-restoration; Bounded Variation; Coherence Transport; Valued Images; Regularization
ISSN (print) / ISBN 0924-9907
e-ISSN 1573-7683
Quellenangaben Volume: 55, Issue: 3, Pages: 401-427 Article Number: , Supplement: ,
Publisher Springer
Publishing Place Dordrecht
Reviewing status Peer reviewed