Information Sciences: an International Journal
A spatial model for complex objects with a broad boundary supporting queries on uncertain data
Data & Knowledge Engineering
Realm-based spatial data types: the ROSE algebra
The VLDB Journal — The International Journal on Very Large Data Bases
Spatial SQL: A Query and Presentation Language
IEEE Transactions on Knowledge and Data Engineering
PROBE Spatial Data Modeling and Query Processing in an Image Database Application
IEEE Transactions on Software Engineering
Geo-Relational Algebra: A Model and Query Language for Geometric Database Systems
EDBT '88 Proceedings of the International Conference on Extending Database Technology: Advances in Database Technology
Reasoning about Binary Topological Relations
SSD '91 Proceedings of the Second International Symposium on Advances in Spatial Databases
A Canonical Model for a Class of Areal Spatial Objects
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
Identifying topological predicates for vague spatial objects
Proceedings of the 2005 ACM symposium on Applied computing
Topological relationships between complex spatial objects
ACM Transactions on Database Systems (TODS)
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
Topological predicates between vague spatial objects
SSTD'05 Proceedings of the 9th international conference on Advances in Spatial and Temporal Databases
Plateau regions: an implementation concept for fuzzy regions in spatial databases and GIS
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
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Many geographical applications deal with objects in space that cannot be adequately described by determinate, crisp spatial concepts because of their intrinsically indeterminate and vague nature. Geographical information systems and spatial database systems are currently unable to cope with this kind of data. To support the efficient representation, querying, and manipulation of vague spatial data in a database context, we present a formal data model called vague spatial algebra (VASA). This algebra comprises a set of vague spatial data types for vague points, vague lines, and vague regions together with a comprehensive collection of vague spatial operations and vague topological predicates. One of VASA's main benefits is that its formal framework is based on well known, general, and exact models of crisp spatial data types. This enables an exact definition of the vague spatial model since we can build upon an already existing theory of spatial data types. In particular, crisp spatial data types turn out to be a special case of their vague counterparts. In addition, our approach enables executable specifications for the operations, which can be immediately used as implementations. The article offers a precise and conceptually clean foundation for implementing a DBMS extension for vague spatial data and demonstrates the embedding of these new data types as attribute data types in a database schema as well as the incorporation of vague spatial operations and predicates into queries formulated in an SQL-like query language. All concepts have been verified in a prototype implementation.