Journal of Geo-information Science >
The Unified Expression and Calculation of Spatial Relationships of Spatio-temporal Object of Multi-granularity
Received date: 2017-05-23
Request revised date: 2017-08-11
Online published: 2017-10-09
Copyright
Spatial relationships play an important role in spatial query language, data retrieval and spatial analysis. However, the current research of spatial relations are hard to realize the unified expression and calculation of spatio-temporal objects of multi-granularity. In this paper, the spatial relationships computing operators of the simple objects are designed based on the type-independence and dimension-independence characteristics of GA operators. The operators are then generalized to spatio-temporal objects of multi-granularity by the union operator. Lastly, we realized the unified expression and calculation of three kinds of spatial relationships for the spatio-temporal objects of multi-granularity under the framework of pan-spatial GIS. The triangulation intersection algorithm is raised as an example to prove the reliability of our methods. Our research also provides the reference for expression and calculation of spatial relationships in pan-spatial GIS.
XIAO Shengjuan , ZONG Zhen , XIANG Liyan , HU Yong . The Unified Expression and Calculation of Spatial Relationships of Spatio-temporal Object of Multi-granularity[J]. Journal of Geo-information Science, 2017 , 19(9) : 1178 -1184 . DOI: 10.3724/SP.J.1047.2017.01178
Fig. 1 The expression of multiple spatial relationships图1 多重空间关系表达 |
Tab. 1 The rule table of the inference of combination of the position relations表1 方位关系的组合推理规则表 |
N | NE | E | SE | S | SW | W | NW | null | |
---|---|---|---|---|---|---|---|---|---|
N | N | n | ne | null | null | null | nw | n | N |
NE | n | NE | ne | e | null | null | null | N | NE |
E | ne | ne | E | e | se | null | null | null | E |
SE | null | e | e | SE | se | s | null | null | SE |
S | null | null | se | se | S | s | sw | null | S |
SW | null | null | null | s | s | SW | sw | w | SW |
W | nw | null | null | null | sw | sw | W | w | W |
NW | n | n | null | null | null | w | w | NW | NW |
null | N | NE | E | SE | S | SW | W | NW | null |
Fig. 2 The derivation of spatial relations of simple object and complex object图2 简单对象间和复杂对象间的空间关系推导过程 |
Fig. 3 Orientation relationship of point and region图3 点与区域的方位关系 |
Fig. 4 Spatial relationship of region and region图4 区域与区域的空间关系 |
Fig. 5 Expression of triangle mesh object based on the multiple vector图5 基于多重向量形式的三角网对象表达 |
Fig. 6 Examples of spatial relations calculation based on the 3D housing estate data图6 基于三维小区数据的空间关系计算案例 |
The authors have declared that no competing interests exist.
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