A general approach to parameter evaluation in fuzzy digital pictures
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Composite regions in topological queries
Information Systems
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Geoinformatica
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FOFO '89 Proceedings of the 3rd International Conference on Foundations of Data Organization and Algorithms
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SSD '93 Proceedings of the Third International Symposium on Advances in Spatial Databases
SSD '97 Proceedings of the 5th International Symposium on Advances in Spatial Databases
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SSD '99 Proceedings of the 6th International Symposium on Advances in Spatial Databases
Set Membership Classification: A Unified Approach to Geometric Intersection Problems
IEEE Transactions on Computers
Fuzzy topological predicates, their properties, and their integration into query languages
Proceedings of the 9th ACM international symposium on Advances in geographic information systems
Topological relationships between complex spatial objects
ACM Transactions on Database Systems (TODS)
Reasoning about vague topological information
Proceedings of the sixteenth ACM conference on Conference on information and knowledge management
Fuzzy region connection calculus: Representing vague topological information
International Journal of Approximate Reasoning
A system of types and operators for handling vague spatial objects
International Journal of Geographical Information Science
Modeling and querying fuzzy spatiotemporal databases
Information Sciences: an International Journal
Spatial reasoning in a fuzzy region connection calculus
Artificial Intelligence
Qualified topological relations between spatial objects with possible vague shape
International Journal of Geographical Information Science
K-nearest neighbor search for fuzzy objects
Proceedings of the 2010 ACM SIGMOD International Conference on Management of data
Representation and manipulation of geospatial objects with indeterminate extents
APWeb'05 Proceedings of the 7th Asia-Pacific web conference on Web Technologies Research and Development
Topological relationships between complex lines and complex regions
ER'05 Proceedings of the 24th international conference on Conceptual Modeling
Spatial query processing for fuzzy objects
The VLDB Journal — The International Journal on Very Large Data Bases
Querying fuzzy spatiotemporal data using XQuery
Integrated Computer-Aided Engineering
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For a long time topological predicates between spatial objects have been a main area of research on spatiald ata handling, reasoning, and query languages. But these predicates still suffer from two main restrictions: first, they are only applicable to simplified abstractions of spatial objects like single points, continuous lines, and simple regions, as they occur in systems like current geographical information systems and spatial database systems. Since these abstractions are usually not sufficient to cope with the complexity of geographic reality, their generalization is needed which especially has influence on the nature and definition of their topological relationships. This paper gives a formal definition of complex crisp regions, which may consist of several components and which may have holes, and it especially shows how topological predicates can be defined on them. Second, topological predicates so far only operate on crisp but not on fuzzy spatial objects which occur frequently in geographical reality. Based on complex crisp regions, this paper gives a definition of their fuzzy counterparts and shows how topological predicates can be defined on them.