We study the smallest possible number of points in a topological space having k open sets. Equivalently, this is the smallest possible number of elements in a poset having k order ...
The problem of concurrent mapping and localization has received considerable attention in the mobile robotics community. Existing approachescan largely be grouped into two distinc...
Sebastian Thrun, Jens-Steffen Gutmann, Dieter Fox,...
In this paper we define a Topological Tree (TT) as a knowledge representation method that aims to describe important visual and spatial features of image regions, namely the color...
Rita Cucchiara, Costantino Grana, Andrea Prati, St...
Current research on qualitative spatial representation and reasoning usually focuses on one single aspect of space. However, in real world applications, several aspects are often ...
Abstract. The theory of multidimensional persistence captures the topology of a multifiltration – a multiparameter family of increasing spaces. Multifiltrations arise naturally...