Speaker:
Ulrich Bauer
- Technische Universität München
Monday, December 14, 2020
at
5:00 PM
Via Zoom
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