2 citations · 2 across the 4 of their papers we have counts for
5 papers
Geometry Denoising with Preferred Normal Vectors
Manuel Weiß, Lukas Baumgärtner, Roland Herzog +1
We introduce a new paradigm for geometry denoising using prior knowledge about the surface normal vector. This prior knowledge comes in the form of a set of preferred normal vector…
Total Generalized Variation of the Normal Vector Field and Applications to Mesh Denoising
Lukas Baumgärtner, Ronny Bergmann, Roland Herzog +2
We propose a novel formulation for the second-order total generalized variation (TGV) of the normal vector on an oriented, triangular mesh embedded in . The normal vector is…
Two Models for Surface Segmentation using the Total Variation of the Normal Vector
Manuel Weiß, Lukas Baumgärtner, Laura Weigl +3
We consider the problem of surface segmentation, where the goal is to partition a surface represented by a triangular mesh. The segmentation is based on the similarity of the norma…
The Riemannian Convex Bundle Method
Ronny Bergmann, Roland Herzog, Hajg Jasa
We introduce the convex bundle method to solve convex, non-smooth optimization problems on Riemannian manifolds of bounded sectional curvature. Each step of our method is based on…
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…