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CG
2006
Springer
13 years 4 months ago
Connectivity preserving digitization of blurred binary images in 2D and 3D
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...
Peer Stelldinger, Ullrich Köthe
GEOINFORMATICA
2008
123views more  GEOINFORMATICA 2008»
13 years 4 months ago
Efficient Implementation Techniques for Topological Predicates on Complex Spatial Objects
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...
Reasey Praing, Markus Schneider
AML
2006
87views more  AML 2006»
13 years 4 months ago
The modal logic of continuous functions on cantor space
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'...
Philip Kremer
CJ
2010
114views more  CJ 2010»
13 years 4 months ago
Using the Relational Model to Capture Topological Information of Spaces
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...
Patrick Erik Bradley, Norbert Paul
AML
2010
118views more  AML 2010»
13 years 4 months ago
The modal logic of continuous functions on the rational numbers
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...
Philip Kremer
ATAL
2010
Springer
13 years 5 months ago
Image based exploration for indoor environments using local features
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...
AAAI
1998
13 years 5 months ago
Integrating Topological and Metric Maps for Mobile Robot Navigation: A Statistical Approach
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,...
AIML
2006
13 years 5 months ago
Dynamic topological logics over spaces with continuous functions
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...
EKAW
2006
Springer
13 years 6 months ago
A Formal Approach to Qualitative Reasoning on Topological Properties of Networks
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...
Andrea Rodríguez, Claudio Gutierrez
ICDT
1997
ACM
89views Database» more  ICDT 1997»
13 years 8 months ago
On Topological Elementary Equivalence of Spatial Databases
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 ...
Bart Kuijpers, Jan Paredaens, Jan Van den Bussche