95 citations · 482 across the 27 of their papers we have counts for
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Priors with Coupled First and Second Order Differences for Manifold-Valued Image Processing
Ronny Bergmann, Jan Henrik Fitschen, Johannes Persch +1
Recently variational models with priors involving first and second order derivatives resp. differences were successfully applied for image restoration. There are several ways to in…
Approximation of Periodic PDE Solutions with Anisotropic Translation Invariant Spaces
Ronny Bergmann, Dennis Merkert
We approximate the quasi-static equation of linear elasticity in translation invariant spaces on the torus. This unifies different FFT-based discretisation methods into a common fr…
Nonlocal Inpainting of Manifold-valued Data on Finite Weighted Graphs
Ronny Bergmann, Daniel Tenbrinck
Recently, there has been a strong ambition to translate models and algorithms from traditional image processing to non-Euclidean domains, e.g., to manifold-valued data. While the t…
FFT-based homogenization on periodic anisotropic translation invariant spaces
Ronny Bergmann, Dennis Merkert
In this paper we derive a discretisation of the equation of quasi-static elasticity in homogenization in form of a variational formulation and the so-called Lippmann-Schwinger equa…