Medial axis detects non-Lipschitz normally embedded points
Abstract
Abstract We show that the (multi)function of the closest points is locally Lipschitz outside of the medial axis of a closed set $$X\subset \mathbb {R}^n$$ X ⊂ R n . With this result, we prove that the medial axis of X approaches every point where X is not Lipschitz normally embedded.
Fields of Study & Subjects
3D Shape Modeling and Analysis
Image Processing and 3D Reconstruction
Publication details
- Journal / source
- Archiv der Mathematik
- Publisher
- Springer Science and Business Media LLC
- Volume
- 126
- Issue
- 3
- Pages
- 285–293
- Publication date
- 7 February 2026
- Language
- EN