Connectivity and neighborhood are fundamental topological properties of objects in pictures. Since the input for any image analysis algorithm is a digital image, which does not ne...
Topological relationships like overlap, inside, meet, and disjoint uniquely characterize the relative position between objects in space. For a long time, they have been a focus of...
Abstract Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as `next'...
Abstract. Motivated by research on how topology may be a helpful foundation for building information modeling (BIM), a relational database version of the notions of chain complex a...
Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as `next'. We ext...
d Abstract) Aravindhan K Krishnan Madhava Krishna Supreeth Achar This paper presents an approach to explore an unknown indoor environment using vision as the sensing modality, t...
Aravindhan K. Krishnan, K. Madhava Krishna, Supree...
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,...
Dynamic topological logics are combinations of topological and temporal modal logics that are used for reasoning about dynamical systems consisting of a topological space and a con...
Boris Konev, Roman Kontchakov, Frank Wolter, Micha...
Abstract. Qualitative reasoning uses a limited set of relevant distinctions of the domain to allow a flexible way of representing and reasoning about it. This work presents a conce...
We consider spatial databases and queries definable using first-order logic and real polynomial inequalities. We are interested in topological queries: queries whose result only ...