A Note on the Dual Treatment of Higher-Order Regularization Functionals

Authors:
G. Steidl
Affiliations:
Faculty of Mathematics and Computer Science, University of Mannheim/A5, 68131, Mannheim, Germany
Venue:
Computing
Year:
2006

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Abstract

In this paper, we apply the dual approach developed by A. Chambolle for the Rudin-Osher-Fatemi model to regularization functionals with higher order derivatives. We emphasize the linear algebra point of view by consequently using matrix-vector notation. Numerical examples demonstrate the differences between various second order regularization approaches.