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

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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.

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Steidl, G. A Note on the Dual Treatment of Higher-Order Regularization Functionals. Computing 76, 135–148 (2006). https://doi.org/10.1007/s00607-005-0129-z

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  • DOI: https://doi.org/10.1007/s00607-005-0129-z

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