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Title
On infimal convolution of total variation type functionals and applications
AuthorHoller, Martin ; Kunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen
Published in
SIAM Journal of Imaging Sciences, 2014, Vol. 7, Issue 4, page 2258-2300
PublishedSociety for Industrial and Applied Mathematics, 2014
Edition
Accepted version
LanguageEnglish
Document typeJournal Article
Keywords (EN)Video reconstruction / infimal convolution / total generalized variation / image reconstruction / temporal regularization / line enhancement
ISSN1936-4954
URNurn:nbn:at:at-ubg:3-3475 Persistent Identifier (URN)
DOI10.1137/130948793 
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 The work is publicly available
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On infimal convolution of total variation type functionals and applications [2.42 mb]
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Abstract (English)

The infimal convolution of total (generalized) variation type functionals and its application as regularization for video and image reconstruction is considered. The definition of this particular type of regularization functional is motivated by the need of suitably combining spatial and temporal regularity requirements for video processing. The proposed functional is defined in an infinite dimensional setting and important analytical properties are established. As applications, the reconstruction of compressed video data and of noisy still images is considered. The resulting problem settings are posed in function space and suitable numerical solution schemes are established. Experiments confirm a significant improvement compared to standard total variation type methods, which originates from the introduction of spatio-temporal and spatial anisotropies.

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