This paper surveys the developments of the last 20 years in the area of vision for mobile robot navigation. Two major components of the paper deal with indoor navigation and outdoo...
Our work is a fundamental study of the notion of approximation in Q-categories and in (U, Q)-categories, for a quantale Q and the ultrafilter monad U. We introduce auxiliary, appro...
Using ideas from persistent homology, the robustness of a level set of a real-valued function is defined in terms of the magnitude of the perturbation necessary to kill the classe...
Paul Bendich, Herbert Edelsbrunner, Michael Kerber...
The exploration of multidimensional scalar fields is commonly based on the knowledge of the topology of their isosurfaces. The latter is established through the analysis of critic...
The present lack of a stable method to compare persistent homology groups with torsion is a relevant problem in current research about Persistent Homology and its applications in P...