3 papers
math.OC2026
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…
cs.CV2025
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…
cs.CV2024
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…