Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra

被引:3
|
作者
Jiang, Xiaomin [1 ,2 ]
Huang, Yangfei [1 ,2 ]
Zhang, Feng [3 ,4 ]
机构
[1] Zhejiang Univ Sci & Technol, Sch Civil Engn & Architecture, 318 Liuhe Rd, Hangzhou 310023, Peoples R China
[2] Zhejiang Univ Sci & Technol, Ctr Urban & Rural Dev, 318 Liuhe Rd, Hangzhou 310023, Peoples R China
[3] Zhejiang Univ, Zhejiang Prov Key Lab Geog Informat Sci, 148 Tianmushan Rd, Hangzhou 310028, Peoples R China
[4] Zhejiang Univ, Sch Earth Sci, 38 Zheda Rd, Hangzhou 310027, Peoples R China
基金
中国国家自然科学基金;
关键词
conformal geometric algebra; shape similarity; spatial relations similarity; spatial geometric similarity; SEMANTIC SIMILARITY; COMPUTATION;
D O I
10.3390/ijerph191710807
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
The study of spatial geometric similarity plays a significant role in spatial data retrieval. Many researchers have examined spatial geometric similarity, which is useful for spatial analysis and data retrieval. However, the majority of them focused on objects of the same type. Methods to support the spatial geometric similarity computation for different types of objects are rare, a systematic theory index has not been developed yet, and there has not been a comprehensive computational model of spatial geometric similarity. In this study, we conducted an analysis of the spatial geometric similarity computation based on conformal geometric algebra (CGA), which has certain advantages in the quantitative computation of the measurement information of spatial objects and the qualitative judgment of the topological relations of spatial objects. First, we developed a unified expression model for spatial geometric scenes, integrating shapes of objects and spatial relations between them. Then, we established a model for the spatial geometric similarity computation under various geographical circumstances to provide a novel approach for spatial geometric similarity research. Finally, the computation model was verified through a case study. The study of spatial geometric similarity sheds light on spatial data retrieval, which has scientific significance and practical value.
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页数:22
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