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Categorizing Binary Topological Relations Between Regions, Lines, and Points in Geographic Databases
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This research was partially funded by NSF grant No.Abstract:
This research was partially funded by NSF grant No. IRI-9309230 and grants from Intergraph Corporation. Additional support from NSF for the NCGIA under No. SBR-9204141 is gratefully acknowledged. Max J. Egenhofer University of Maine, National Center for Geographic Information and Analysis and Department of Surveying Engineering, Department of Computer Science, University of Maine, Orono, ME 04469-5711, max@mecan1.maine.eduread more
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References
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Book ChapterDOI
Topological Constraints: A Representational Framework For Approximate Spatial And Temporal Reasoning
TL;DR: Topological constraints are introduced in this paper as an uniform representation schema for both spatial and temporal concepts and fuzzy logic is used to provide the mathematical basis for representing imprecision and uncertainty.
Journal ArticleDOI
Technical Requirements and Standards for a Multipurpose Geographic Data System
TL;DR: Technical requirements and standards are derived as a consequence of the mathematical theory of maps because a set of questions is posed that, if answerable by a geographic data system, establishes the fundamental soundness and sufficiency of the system.
Proceedings ArticleDOI
Approximate spatial reasoning
TL;DR: A model for approximate spatial reasoning using fuzzy logic to represent the uncertainty in the environment is presented and algorithms to reason about spatial information expressed in the form of approximate linguistic descriptions, very similar to the kind of spatial information processed by humans are developed.
Proceedings Article
An Example of Knowledge-Based Query Processing in a CAD/CAM DBMS
TL;DR: It is shown how the hierarchy and geometry can interact to improve query processing, and how knowledge about the behavior of attributes stored in the hierarchy can be used to choose appropriate levels of detail for query output.
Journal ArticleDOI
Rule-based spatial search
TL;DR: This paper illustrates how a simple spatial problem, formalised using predicate calculus, may be readily implemented as a rule base in which the production rules represent Horn clauses, a high-level mathematical language capable of expressing the spatial relationships and queries typically handled by a GIS.