目标组方向关系定量计算与定性描述模型  

A Model for Quantitatively Calculating and Qualitatively Describing Direction Relationships Between Object Groups

作　　者：王中辉 李馨涵 WANG Zhonghui;LI Xinhan(Faculty of Geomatics,Lanzhou Jiaotong University,Lanzhou 730070,China;National-Local Joint Engineering Research Center of Technologies and Applications for National Geographic State Monitoring,Lanzhou 730070,China;Gansu Provincial Engineering Laboratory for National Geographic State Monitoring,Lanzhou 730070,China)

机构地区：[1]兰州交通大学测绘与地理信息学院,甘肃兰州730070 [2]地理国情监测技术应用国家地方联合工程研究中心,甘肃兰州730070 [3]甘肃省地理国情监测工程实验室,甘肃兰州730070

出　　处：《武汉大学学报（信息科学版）》2024年第12期2290-2300,共11页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金(41861060,41561090);中央引导地方科技发展资金(YDZX20216200001803);兰州交通大学优秀平台(201806)。

摘　　要：目标组方向关系建模是空间关系理论研究的重要内容之一,但现有模型未能对目标组方向关系进行合理的分类,且忽略了目标组的分布形态和构成要素的分布密集度对方向关系的影响,导致方向关系判定出现偏差。提出一种目标组方向关系的定量计算与定性描述模型,首先,借助Delaunay三角剖分构建两目标组之间的邻近区域;其次,通过预处理邻近区域三角形,区分不同类型的目标组方向关系;然后,将目标组定量方向关系分解为邻近区域三角形的顶点和边之间的定量方向关系(即局部定量方向关系)进行计算;最后,将局部定量方向关系转换融合为目标组定性方向关系。实验结果表明,该模型具有较好的适用性和可行性,能够有效克服现有模型存在的缺陷,提高目标组方向关系判定的准确性。Objectives:The modeling of direction relationships between object groups is one of the impor-tant research topics in the theory of spatial relationships.However,existing models fail to reasonably classi-fy the direction relationships between object groups,and ignore the impacts of distribution shapes of object groups and distribution density of their sub-objects on direction relationships,making it difficult to accurate-ly determine direction relationships.Methods:To solve the problem,this paper classified the direction rela-tionships between object groups into three categories in the light of different visual cognitive outcomes of object groups;and it was found that the adjacent regions between object groups can reflect the impacts of distribution shapes of object groups and distribution density of their sub-objects on direction relationships.Based on this,a model for quantitatively calculating and qualitatively describing direction relationships be-tween object groups was proposed.First,Delaunay triangulation is used to construct the adjacent region be-tween object groups;then,different types of direction relationships are distinguished by preprocessing the triangles in the adjacent region;after that,the quantitative direction relationships between object groups are separated into the ones between the vertices and the edges of the triangles(i.e.the local quantitative direc-tion relationships)for calculation.Finally,local quantitative direction relationships are transformed and inte-grated into the qualitative direction relationships between object groups.Results:Experimental results show that:(1)The proposed model can reasonably classify the direction relationships between object groups,and accurately distinguish and describe the direction relationships in some complex situations.(2)It can fully consider the impacts of distribution shapes of object groups and distribution density of their sub-ob-jects on direction relationships,and effectively determine the direction relationships between different geo-metric t

关 键 词：目标组 方向关系 定量计算 定性描述 视觉认知 邻近区域 

分 类 号：P283[天文地球—地图制图学与地理信息工程]