Topological relations between spherical spatial regions with holes

Autor: Jingwei Shen, Lan Zhang, Min Chen
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: International Journal of Digital Earth, Vol 13, Iss 4, Pp 429-456 (2020)
Druh dokumentu: article
ISSN: 1753-8947
1753-8955
17538947
58542469
DOI: 10.1080/17538947.2018.1523958
Popis: There is growing interest in globally modelling the entire planet. Although topological relations between spherical simple regions and topological relations between regions with holes in the plane have been investigated, few studies have focused on the topological relations between spherical spatial regions with holes. The 16-intersection model (16IM) is proposed to describe the topological relations between spatial regions with holes. A total of 25 negative conditions are proposed to eliminate the impossible topological relations between spherical spatial regions with holes. The results show that (1) 3 disjoint relations, 3 meet relations, 66 overlap relations, 7 cover relations, 3 contain relations, 1 equal relation, 7 coveredBy relations, 3 inside relations, 1 attach relation, 52 entwined relations, and 28 embrace relations can be distinguished by the 16IM and that (2) the formalisms of attach, entwined, and embrace relations between the spherical spatial regions without holes based on the 9IM and that between the spherical spatial regions with holes based on the simplified 16IM are different, whereas the formalisms of other types of relations between spherical spatial regions without holes based on the 9IM and that between the spherical spatial regions with holes based on a simplified 16IM are the same.
Databáze: Directory of Open Access Journals
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