Medial Axes and Mean Curvature Motion II: Singularities

@article{Teixeira2005MedialAA,
  title={Medial Axes and Mean Curvature Motion II: Singularities},
  author={Ralph Teixeira},
  journal={Journal of Mathematical Imaging and Vision},
  year={2005},
  volume={23},
  pages={87-105}
}
What happens to the medial axis of a curve that evolves through MCM (Mean Curvature Motion)? We explore some theoretical results regarding properties of both medial axes and curvature motions. Specifically, using singularity theory, we present all possible topological transitions of a symmetry set (of which the medial axis is a subset) whose originating… CONTINUE READING