95 citations · 482 across the 27 of their papers we have counts for
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math.NA2018
Recent Advances in Denoising of Manifold-Valued Images
Ronny Bergmann, Friederike Laus, Johannes Persch +1
Modern signal and image acquisition systems are able to capture data that is no longer real-valued, but may take values on a manifold. However, whenever measurements are taken, no…
math.NA2018★ 20 cited
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve
Ronny Bergmann, Pierre-Yves Gousenbourger
We derive a variational model to fit a composite Bézier curve to a set of data points on a Riemannian manifold. The resulting curve is obtained in such a way that its mean squared…
math.NA2018★ 55 cited
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds
Ronny Bergmann, Roland Herzog
Karush-Kuhn-Tucker (KKT) conditions for equality and inequality constrained optimization problems on smooth manifolds are formulated. Under the Guignard constraint qualification, l…