2013 , Vol. 15 >Issue 5: 635 - 642

• 兰州交通大学测绘与地理信息学院, 兰州 730070

修回日期: 2013-05-27

网络出版日期: 2013-09-29

Geometry Similarity Assessment Model of Spatial Polygon Groups

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• Faculty of Geomatics, Lanzhou Jiaotong University, Lanzhou 730070, China

Revised date: 2013-05-27

Online published: 2013-09-29

### Abstract

As a kind of spatial relationship, spatial similarity relationship is still in its initial research stage. Research works of similarity assessment of spatial group objects will improve spatial relationship's theory, deepen spatial cognition and raise the level of spatial data intelligent and automated handling. Focus on the spatial polygon groups, this paper proposed a novel computational model of geometry similarity measurement between spatial polygon groups. The conceptual neighborhood network of topological relationship was utilized to define topological relationship similarity between polygon groups. A suitable "dimensionality reduction" approach was utilized to process different polygon objects into line group. Then, the directional mean was utilized to define direction relationship between line groups, namely direction similarity of polygon groups. Finally, the circular variance was utilized to define distance relationship between line groups, namely distance similarity of polygon groups. Combined with the length, average length, area, average area, density and compactness of polygon groups, the final step established a computational model of similarity to comprehensively measure the geometry similarity of polygon groups. The computation model considered both geometry features and spatial relationship features of polygon groups, and a proper weights distribution was taking into account at the same time. Two experiments were taken out to verify the model. The experimental results showed that the computed similarity is consistent with ground object features and intuitive cognition of human beings.

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