Representation and Reasoning of Three-Dimensional Spatial Relationships Based on R5DOS-Intersection Model Representation and Reasoning Based on R5DOS Model
Joint Authors
Zhang, Weijian
Hu, Yating
Wang, Zhun
Li, Jian
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-07
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper aims to disclose the compound topological and directional relationships of three simple regions in the three-dimensional (3D) space.
For this purpose, the directional model and the 8-intersection model were coupled into an R5DOS-intersection model and used to represent three simple regions in the 3D space.
The matrices represented by the model were found to be complete and mutually exclusive.
Then, a self-designed algorithm was adopted to solve the model, yielding 11,038 achievable topological and directional relationships.
Compared with the minimum bounding rectangle (MBR) model, the proposed model boasts strong expressive power.
Finally, our model was applied to derive the topological and directional relationships between simple regions A and C from the known relationships between simple regions A and B and those between B and C.
Based on the results, a compound relationship reasoning table was established for A and C.
The research results shed new light on the representation and reasoning of 3D spatial relationships.
American Psychological Association (APA)
Li, Jian& Zhang, Weijian& Hu, Yating& Wang, Zhun. 2020. Representation and Reasoning of Three-Dimensional Spatial Relationships Based on R5DOS-Intersection Model Representation and Reasoning Based on R5DOS Model. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1141726
Modern Language Association (MLA)
Li, Jian…[et al.]. Representation and Reasoning of Three-Dimensional Spatial Relationships Based on R5DOS-Intersection Model Representation and Reasoning Based on R5DOS Model. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1141726
American Medical Association (AMA)
Li, Jian& Zhang, Weijian& Hu, Yating& Wang, Zhun. Representation and Reasoning of Three-Dimensional Spatial Relationships Based on R5DOS-Intersection Model Representation and Reasoning Based on R5DOS Model. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1141726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141726