Academic Journal of Engineering and Technology Science, 2024, 7(1); doi: 10.25236/AJETS.2024.070101.
Qilun Xu1, Yuan Liu2
1School of Computer Science and Engineering, Hunan University of Science and Technology, Xiangtan, 411201, China
2Mathematics Teaching and Research Group, Leiyang No. 1 Middle School, Leiyang, 421899, China
Egenhofer's intersection model for describing topological relations has a normative problem in metrics, and the inner, outer and boundary boundaries of different dimensional online objects do not conform to the definition of inner, outer and boundary based on metric-neighborhood language pairs in point set topology. Therefore, by establishing a mapping from the dimension to the lower dimension, the boundary, exterior and interior of the line object are inversely mapped in one dimension, so that the line object in the two-dimensional space still conforms to the three-part division of the metric specification. This process allows the new node degree to be used, and the resulting topological formal model is more distinguishable than other models.
GIS, Topological Relations, 9-Intersection Model, Metric Specification
Qilun Xu, Yuan Liu. Metric specification and improvement of intersection models. Academic Journal of Engineering and Technology Science (2024) Vol. 7, Issue 1: 1-7. https://doi.org/10.25236/AJETS.2024.070101.
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