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Categorizing Binary Topological Relations Between Regions, Lines, and Points in Geographic Databases

TLDR
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.edu

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Book ChapterDOI

Regional Algebra for Spatial Data Management

TL;DR: An extension to the relational model is defined for the management of spatial data that adopts a radically new methodology for the formalization of three spatial data types, point, line and surface, based on a definition for spatial quanta.
Journal ArticleDOI

On Weak and Strong Forms of Fuzzy Soft Open Sets

TL;DR: Fuzzy soft pre-open (closed) sets are defined and discussed, and some properties of fuzzy soft neighborhood system, fuzzy soft basic neighborhood and fuzzysoft neighborhood (nbd) base at fuzzy soft point are studied.
Book ChapterDOI

TerraHS: Integration of Functional Programming and Spatial Databases for GIS Application Development

TL;DR: This paper argues that many of theoretical problems in GIScience can be expressed as algebraic theories, and developing a GIS in a functional language is not feasible, since many parts needed for aGIS are already avaliable in imperative languages such as C++ and Java.
Proceedings ArticleDOI

Topological matrices for topological relations between fuzzy regions

TL;DR: This paper discusses different definitions in fuzzy boundary and their differences and relations, and one of the definitions is selected as the fuzzy boundary for GIS.

Geographical Domain and Geographical Information Systems

TL;DR: In this article, a distinction is made between map and geomap based on the notion of locusobject, and the contribution of the morpho-genetic representation to the comprehension of the cycle: reality, representation, model, reality.
References
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Book

Metaphors We Live By

TL;DR: Lakoff and Johnson as mentioned in this paper suggest that these basic metaphors not only affect the way we communicate ideas, but actually structure our perceptions and understandings from the beginning, and they offer an intriguing and surprising guide to some of the most common metaphors and what they can tell us about the human mind.
Journal ArticleDOI

Metaphors We Live by

TL;DR: Lakoff and Johnson as discussed by the authors present a very attractive book for linguists to read, which is written in a direct and accessible style; while it introduces and uses a number of new terms, for the most part it is free of jargon.
Journal Article

Maintaining knowledge about temporal intervals

James F. Allen
- 01 Mar 1991 - 
TL;DR: An interval-based temporal logic is introduced, together with a computationally effective reasoning algorithm based on constraint propagation, which is notable in offering a delicate balance between space and time.
Journal ArticleDOI

Maintaining knowledge about temporal intervals

TL;DR: In this paper, an interval-based temporal logic is introduced, together with a computationally effective reasoning algorithm based on constraint propagation, which is notable in offering a delicate balance between time and space.
Book

The Theory of Parsing, Translation, and Compiling

TL;DR: It is the hope that the algorithms and concepts presented in this book will survive the next generation of computers and programming languages, and that at least some of them will be applicable to fields other than compiler writing.