A general approach to parameter evaluation in fuzzy digital pictures
Pattern Recognition Letters
A formal definition of binary topological relationships
3rd International Conference, FODO 1989 on Foundations of Data Organization and Algorithms
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
A topological data model for spatial databases
SSD '90 Proceedings of the first symposium on Design and implementation of large spatial databases
Qualitative spatial reasoning: a semi-quantitative approach using fuzzy logic
SSD '90 Proceedings of the first symposium on Design and implementation of large spatial databases
Imprecision in Finite Resolution Spatial Data
Geoinformatica
Realm-based spatial data types: the ROSE algebra
The VLDB Journal — The International Journal on Very Large Data Bases
COSIT '97 Proceedings of the International Conference on Spatial Information Theory: A Theoretical Basis for GIS
Realms: A Foundation for Spatial Data Types in Database Systems
SSD '93 Proceedings of the Third International Symposium on Advances in Spatial Databases
Topological Relations Between Regions in R² and Z²
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
Uncertainty Management for Spatial Data in Databases: Fuzzy Spatial Data Types
SSD '99 Proceedings of the 6th International Symposium on Advances in Spatial Databases
Modeling and querying vague spatial objects using shapelets
VLDB '07 Proceedings of the 33rd international conference on Very large data bases
A system of types and operators for handling vague spatial objects
International Journal of Geographical Information Science
The maximal distance between imprecise point objects
Fuzzy Sets and Systems
Computational algorithms to evaluate design solutions using Space Syntax
Computer-Aided Design
Automated computational delimitation of SST upwelling areas using fuzzy clustering
Computers & Geosciences
Linear fuzzy space based road lane model and detection
Knowledge-Based Systems
Topological relation analysis between high-order fuzzy regions based on fuzzy logic
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Uncertainty management for geometric data is currently an important problem in spatial databases, image databases, and geographic information systems. Spatial entities do not always have homogeneous interiors and sharply defined boundaries but frequently their interiors and boundaries are partially or totally indeterminate and vague. For an important kind of spatial vagueness called spatial fuzziness this paper provides a conceptual and an implementation model of fuzzy spatial objects that also incorporates fuzzy geometric union, intersection, and difference operations as well as fuzzy topological predicates. In particular, this model is not based on Euclidean space and not on an infinite-precision arithmetic which lead to lacking numerical robustness and to topological inconsistency of implementations on a computer; it rests on a finite, discrete geometric domain called grid partition which takes into account finite-precision number systems available in computers. Last but not least, this paper is a contribution to achieve a uniform treatment of vector and raster data.