Are topological relations dependent on the shape of spatial objects?*

2005 ◽  
Vol 15 (11) ◽  
pp. 1021-1025
Author(s):  
Shi Wenzhong ◽  
Liu Kimfung
2015 ◽  
Vol 21 (2) ◽  
pp. 389-408
Author(s):  
BO LIU ◽  
DAJUN LI ◽  
JIAN RUAN ◽  
LIBO ZHANG ◽  
LAN YOU ◽  
...  

The goal of this paper is to present a new model of fuzzy topological relations for simple spatial objects in Geographic Information Sciences (GIS). The concept of computational fuzzy topological space is applied to simple fuzzy objects to efficiently and more accurately solve fuzzy topological relations, extending and improving upon previous research in this area. Firstly, we propose a new definition for simple fuzzy line segments and simple fuzzy regions based on computational fuzzy topology. And then, we also propose a new model to compute fuzzy topological relations between simple spatial objects, an analysis of the new model exposes:(1) the topological relations of two simple crisp objects; (2) the topological relations between one simple crisp object and one simple fuzzy object; (3) the topological relations between two simple fuzzy objects. In the end, we have discussed some examples to demonstrate the validity of the new model, through an experiment and comparisons of existing models, we showed that the proposed method can make finer distinctions, as it is more expressive than the existing fuzzy models.


2009 ◽  
Author(s):  
Shi-lin Zou ◽  
Bo Liu ◽  
Da-jun Li ◽  
Jian Ruan ◽  
Xian-chun Guo

2015 ◽  
Vol 756 ◽  
pp. 447-452
Author(s):  
S.V. Eremeev

In article the problem of automatic distribution of spatial objects to layers is considered. The result of the distribution is multi-layered vector map. Hierarchical model of topological relations has been developed. It is the basis for implementation of objects distribution algorithms. The practical significance of the work is processing of spatial objects in navigation systems.


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