3 papers
math.NA2025
Obstacle Mean Curvature Flow: Efficient Approximation and Convergence Analysis
Fabius Krämer, Tim Laux
We introduce a simple and efficient numerical method to compute mean curvature flow with obstacles. The method augments the Merrimam-Bence-Osher scheme with a pointwise update that…
math.AP2025
Weighted, Multiphase, Volume-Preserving Mean Curvature Flow as Limit of the MBO Scheme on Manifolds
Fabius Krämer
The famous thresholding scheme by Merriman, Bence, and Osher (Motion of multiple junctions: A level set approach. Journal of Computational Physics 112.2 (1994): 334-363.) proved it…
math.AP2025
An efficient volume-preserving MBO scheme for data clustering and classification
Fabius Krämer, Tim Laux
We propose and study a novel efficient algorithm for clustering and classification tasks based on the famous MBO scheme. On the one hand, inspired by Jacobs et al. [J. Comp. Phys.…