群组目标空间方向关系图谱研究

On the Graph-Spectrum of Spatial Direction Relationships Between Object Groups

群组目标空间方向关系在地图自动综合、空间分析等领域有着重要的作用。为了定量、直观地表达群组目标之间的空间方向关系,提出一种基于图谱的群组目标空间方向关系计算方法。其基本思路是:首先,构建参考目标群的最小投影矩形MBR(Minimum Bounding Rectangle),并对其以正北方向为起止每隔一定角度进行形态变换,求得每次形态变换后参考目标群与源目标群之间的交集,在此基础上得出相应的谱密度,分析谱特征并绘制出对应图谱。实验表明,该方法较好地顾及了群组目标空间方向关系的各种影响因素,能够以定量的方式精确计算群组目标之间的空间方向关系,并能将其结果进行可视化表达。

Spatial direction relationships between object groups plays an very important role in automated map generalization and Spatial analysis. In order to show the relationship between object groups visually and quantitatively,a visible method based on graph-spectrum for spatial relationships between object groups was proposed. Its basic idea is as follows： firstly, the MBR（ Minimum Bounding Rectangle） of the reference object group is computed;then a morphological transform to the reference object group is made at every specified angle interval starting from and at last stopping at the due North. After this, the spectrum density is computed by calculating the intersection of the morphological transformed reference object group and the target object group. Lastly, the corresponding spectrum is drawn based on analyzing the characteristics of the spectrum. The experiments showed that the method could describe the spatial direction relationships between object groups intuitively and quantitatively and it took kinds of factors which could influence direction relationships between object groups into account.