Official websites use .gov
A
.gov website belongs to an official
government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you've safely
connected to the .gov website. Share sensitive
information only on official, secure websites.
Topological representation of point clouds via persistent homology. Top panel: The Betti numbers for some objects. Middle panel: Many datasets are represented as a point cloud and the simplices are the building blocks for constructing a simplicial complex to topologically characterize the point cloud. Bottom panel: the persistence barcode of the point cloud and some example simplicial complexes at different stages of the filtration.
