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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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Journal ArticleDOI

Application of the Model of Spots for Inverse Problems

Nikolai A. Simonov
- 21 Jan 2023 - 
TL;DR: In this paper , a new mathematical model of spots for solving inverse problems using a learning method, which is similar to using deep learning, has been proposed, which can be used in Artificial Intelligence, in particular, for knowledge representation and for modeling qualitative reasoning and learning.

Topological relationships between spatio-temporal history of moving points in a primitive space

TL;DR: In this paper, the authors generalised the spatio-temporal history of two static points in a 1D space to a primitive space, a space where temporal and spatial dimensions are not differentiated.
Proceedings ArticleDOI

Model Parent-Child Relationships between Lines and Parcels

TL;DR: In this article, the authors analyzed the possible change of lines(on the map) in land use change survey and spatio-temporal relations between lines and their parents, and then deduced a decision rule for detecting parent-child relationships between line and parcels, which helps to find the predecessors or successors of a given line/parcel by spatio temporal query
Proceedings ArticleDOI

The representation and judgment of binary topological relations between regions and lines in three dimensional space

TL;DR: In this paper, a simple solution to the issue of judging the topological relation between a line and a connected region without holes in 3D space based on the DE-9IM (Dimensionally Extended 9-Intersection Model) is provided.
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.
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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.