16 citations · 19 across the 12 of their papers we have counts for
3 papers · 1 filter
Newton's method for nonlinear mappings into vector bundles Part II: Application to variational problems
Laura Weigl, Ronny Bergmann, Anton Schiela
We consider the solution of variational equations on manifolds by Newton's method. These problems can be expressed as root finding problems for mappings from infinite dimensional m…
Mesh Denoising and Inpainting using the Total Variation of the Normal and a Shape Newton Approach
Lukas Baumgärtner, Ronny Bergmann, Roland Herzog +3
We present a novel approach to denoising and inpainting problems for surface meshes. The purpose of these problems is to remove noise or fill in missing parts while preserving impo…
A Graph Framework for Manifold-valued Data
Ronny Bergmann, Daniel Tenbrinck
Graph-based methods have been proposed as a unified framework for discrete calculus of local and nonlocal image processing methods in the recent years. In order to translate variat…