- Technische Universität München
lunedì 14 dicembre 2020
In this talk, I will survey some recent results on theoretical and computational aspects of applied topology. I will illustrate various aspects of persistent homology:
its structure, which enables the use as a topological descriptor, its stability with respect to perturbations of the data, its computation on a large scale, and various applications.
These aspects will be motivated and illustrated by concrete examples and problems, such as
- reconstruction of a shape and its topological properties from a point cloud,
- denoising of isosurfaces for the visualization of medical images,
- faithful simplification of contours lines of a real-valued function, and
- the existence of unstable minimal surfaces.
Contact Person: Lidia Angeleri