The total-variation (TV) seminorm is ubiquitous as a regularizing functional in image analysis and related applications. We propose and analyze a discrete analog of the TV-seminorm for functions belonging to a space of globally discontinuous or continuous finite element functions on a geometrically conforming mesh. We show that our discrete TV functional admits a dual representation close to the continuous formulation and allows for efficient implementations of classical image restoration algorithms.
This presentation is part of Minisymposium “MS64 - Images and Finite Elements”
organized by: Roland Herzog (Technische Universität Chemnitz) , Stephan Schmidt (University of Würzburg) .
Bologna - Italy
Society for Industrial and Applied Mathematics
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Bologna Committee for IS Conference 2018 (BCIS18)
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