Scalar functions defined on a topological space Ω are at the core of many applications such as shape matching, visualization and physical simulations. Topological persistence i...
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
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...
Many programs go through phases as they execute. Knowing where these phases begin and end can be beneficial. For example, adaptive architectures can exploit such information to lo...
Nowadays, launching new products in short intervals is a critical factor for success to persist on the global market. At the same time many enterprises call for cost reduction in ...