Given a function f : X → R on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks of these groups from the exten...
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozo...
We describe how reachability-based orthogonal persistence can be supported even in uncooperative implementations of languages such as C++ and Modula-3, and without modification t...
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 present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy mu...
Persistent stores support uniform management of data objects regardless of their lifetimes and locations. Such stores typically maintain a self-consistent state even after failure...
Frans A. Henskens, D. M. Koch, Rasool Jalili, John...