基于等宽ε-带的三维线-线对象不确定性拓扑关系描述与判别方法

发布时间：2018-08-12 19:45

【摘要】：三维空间下不确定性对象拓扑关系是研究三维GIS中不确定性问题的基础。该文将二维平面直线不确定性的思想引入到三维空间,基于二维平面ε-带自旋转构建三维拓展包络体,表达不确定性三维线对象的置信区域。在对不确定性三维线对象进行描述的基础上,对不确定性线-线对象各部分之间的交集程度提出了一种定量化分析方法;通过对交集程度的度量,将三维空间下不确定性线-线拓扑关系用这些度量组成的空间向量表达;结合9I模型确定的参考空间关系向量理论,逐一考察度量化空间关系向量与参考空间关系向量之间的相关度,提出三维空间下不确定性线-线对象之间拓扑关系的描述模型,通过定量化分析方法对其空间拓扑关系进行判别。实验结果表明,该方法具备一定的可行性,可为不确定性问题的探讨提供科学依据。
[Abstract]:The topological relation of uncertain objects in three dimensional space is the basis of studying the uncertainty problem in three dimensional GIS. In this paper, the idea of 2-D plane linear uncertainty is introduced into three-dimensional space. Based on 2-D plane 蔚 -band self-rotation, a three-dimensional extended envelop is constructed to express the confidence region of uncertainty 3D linear object. Based on the description of uncertain 3D line objects, a quantitative analysis method is proposed for the degree of intersection between the parts of uncertain line and line objects, and the degree of intersection is measured by measuring the degree of intersection. The uncertain line-line topological relation in three-dimensional space is expressed by the spatial vector composed of these metrics, and the reference spatial relation vector theory determined by 9i model is used. This paper investigates the correlation between quantized spatial relationship vectors and reference spatial relational vectors one by one, and proposes a model for describing the topological relationship between uncertain line-line objects in three-dimensional space. The spatial topological relationship is judged by quantitative analysis method. The experimental results show that this method is feasible and can provide scientific basis for the discussion of uncertainty problems.
【作者单位】：南京师范大学虚拟地理环境教育部重点实验室;
【基金】：国家自然科学基金项目“不动产统一登记驱动下的地籍混合维度空间数据表达模型研究”(41471318)
【分类号】：P208

【相似文献】