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A 25-Intersection Model for Representing Topological Relations between Simple Spatial Objects in 3-D Space

School of Geography and Information Engineering, China University of Geosciences, No.388 Lumo Road, Wuhan 430074, China
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ISPRS Int. J. Geo-Inf. 2019, 8(4), 182; https://doi.org/10.3390/ijgi8040182
Received: 1 March 2019 / Revised: 27 March 2019 / Accepted: 4 April 2019 / Published: 7 April 2019
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Abstract

With the rapid development of the economy, urgent needs for 3-D Geographical Information System (GIS) have sprung up in many application fields. The precise expression of three-dimensional topological relations is the foundation of spatial analysis, topological query, and spatial reasoning in three-dimensional space. In this paper, we subdivide the topological part “boundary” into face, edge, and vertex and propose a 25-intersection model (25IM) to represent topological relations between two simple spatial objects (point, line, region, and body) in 3-D space. An object in the 25IM has five topological parts: vertex, edge, face, interior, and exterior. The classification of topological relations is simplified by merging contain/inside and cover/coveredby. The 25IM describes ten groups of topological relations: body/body, body/region, body/line, body/point, region/region, region/line, region/point, line/line, line/point, and point/point. The 25IM is demonstrated to be more expressive than the 9IM and the DE-9IM, especially in distinguishing the detail situations when one object meets/covers another object (e.g., two bodies meet/cover at vertex, edge, or face). View Full-Text
Keywords: Topological Relation; 25-intersection model; 3-D topology; geometric primitive Topological Relation; 25-intersection model; 3-D topology; geometric primitive
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Zhou, M.; Guan, Q. A 25-Intersection Model for Representing Topological Relations between Simple Spatial Objects in 3-D Space. ISPRS Int. J. Geo-Inf. 2019, 8, 182.

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