2 citations · 3 across the 6 of their papers we have counts for
7 papers
A First Step Towards Mesh-Free Probabilistic Shape Optimization
Stephan Schmidt, Maximilian Würschmidt
We present an initial implementation of a probabilistic PDE-constrained shape optimization algorithm. Our method is based on a novel probabilistic representation of the shape deriv…
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…
Medical Image Registration using optimal control of a linear hyperbolic transport equation with a DG discretization
Bastian Zapf, Johannes Haubner, Lukas Baumgärtner +1
Patient specific brain mesh generation from MRI can be a time consuming task and require manual corrections, e.g., for meshing the ventricular system or defining subdomains. To add…
The Proximal Map of the Weighted Mean Absolute Error
Lukas Baumgärtner, Roland Herzog, Stephan Schmidt +1
We investigate the proximal map for the weighted mean absolute error function. An algorithm for its efficient and vectorized evaluation is presented. As a demonstration, this algor…
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…