Blar i NTNU Open på forfatter "Herzog, Roland"

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    • Fenchel Duality and a Separation Theorem on Hadamard Manifolds 

      Silva Louzeiro, Maurício; Bergmann, Ronny; Herzog, Roland (Peer reviewed; Journal article, 2022)
      In this paper, we introduce a definition of Fenchel conjugate and Fenchel biconjugate on Hadamard manifolds based on the tangent bundle. Our definition overcomes the inconvenience that the conjugate depends on the choice ...

    • First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints 

      Bergmann, Ronny; Herzog, Roland; Ortiz López, Julian; Schiela, Anton (Peer reviewed; Journal article, 2022)
      We consider optimization problems with manifold-valued constraints. These generalize classical equality and inequality constraints to a setting in which both the domain and the codomain of the constraint mapping are smooth ...

    • Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging 

      Baumgartner, Lukas; Bergmann, Ronny; Herzog, Roland; Schmidt, Stephan; Vidal Núñez, José (Journal article, 2023)
      We propose a novel discrete concept for the total generalized variation (TGV), which was originally derived to reduce the staircasing effect in classical total variation regularization, in image denoising problems. We ...