Journal Article10.1541/IEEJEISS.129.522
Map Retrieval Based on Geometric Spatial Relations
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TL;DR: This paper generates a graph structure for representing the relationships among geographical objects using the three relations and defines the geometric spatial relation which is composed of an overlapping relation, an adjoining relation, and a neighboring relation.
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Abstract: Until now, many researchers have proposed spatial relations between geographical objects in the field of geographical information systems and spatial databases. However, these proposals have focused on binary relations to represent the features of geographical objects, but have not concentrated on the complexity among geographical objects. In this paper, we aim to model the complex structure among geographical objects. To represent the structure among geographical objects, we define the geometric spatial relation which is composed of an overlapping relation, an adjoining relation, and a neighboring relation. Additionally, we discuss a retrieval function which finds out similar locations by using a sketch as a query. In order to find out locations, we generate a graph structure for representing the relationships among geographical objects using the three relations. We find a similar structure by comparing two graph structures. To decide a similar structure, we define the similarity which is calculated by correspondence among relations. The correspondence among relations is the value which shows the difference between a query and data. By using this similarity, we can find not only sub-graphs but also similarity graphs.
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Citations
The 9-Intersection: Formalism and Its Use for Natural-Language Spatial Predicates (94-1) - eScholarship
Max J. Egenhofer,David M. Mark,John R. Herring +2 more
- 01 Jan 1994
TL;DR: In this article, the formal mathematical definitions of the 9-intersection are presented, and cognitive testing is performed based on the mathematical model presented in the first paper, using the complete set of stimuli used in Mark and Egenhofer's experimental work up to January 1994.
References
A Small Set of Formal Topological Relationships Suitable for End-User Interaction
Eliseo Clementini,Paolino Di Felice,Peter van Oosterom +2 more
- 23 Jun 1993
TL;DR: The first method is an extension of the geometric point-set approach by taking the dimension of the intersections into account, which results in a very large number of different topological relationships for point, line, and area features.
Scalable network distance browsing in spatial databases
Hanan Samet,Jagan Sankaranarayanan,Houman Alborzi +2 more
- 09 Jun 2008
TL;DR: The algorithm and underlying representation of the shortest paths in the spatial network can be used with different sets of objects, and the amount of storage required to keep track of the subsets is reduced by taking advantage of their spatial coherence which is captured by the aid of a shortest path quadtree.
Query processing in spatial-query-by-sketch
TL;DR: The representation of a sketch is described and the design of the constraint relaxation methods used during query processing are outlined.
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The 9-Intersection: Formalism and Its Use for Natural-Language Spatial Predicates (94-1)
Max J. Egenhofer,David M. Mark,John R. Herring +2 more
- 01 Jan 1994
TL;DR: This report contains the complete set of stimuli used in Mark and Egenhofer’s experimental work up to January 1994, and develops and presents the formal mathematical definitions of the 9-intersection.
The 9-Intersection: Formalism and Its Use for Natural-Language Spatial Predicates (94-1) - eScholarship
Max J. Egenhofer,David M. Mark,John R. Herring +2 more
- 01 Jan 1994
TL;DR: In this article, the formal mathematical definitions of the 9-intersection are presented, and cognitive testing is performed based on the mathematical model presented in the first paper, using the complete set of stimuli used in Mark and Egenhofer's experimental work up to January 1994.