Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property tha...
We describe a new invariant-based data model for image databases under our approach for shape-based retrieval. The data model relies on contours description of the image shape, an...
Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing o...
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy...
A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of cliques that occur as (topological) r-minors. We observe that this tameness ...