基于拓扑约束的方向关系定性描述模型

摘要/Abstract

摘要：

针对原有方向关系矩阵模型对于参考目标MBR区域的方向描述缺陷问题，本文将拓扑约束引入方向关系定性描述，构建基于拓扑参考的方向关系定性描述模型，实现了MBR区域方向关系的有效表达。新模型首先将参考目标的MBR区域划分为不同的拓扑区域，提出方向关系拓扑参考定义；基于拓扑参考，分别对不同拓扑区域定义相应的方向关系矩阵；最后，根据参考目标与源目标间的不同拓扑关系，提出不同情况下方向关系分层定性描述策略。实验结果表明，新模型充分反映了拓扑关系对方向关系描述的约束关系，能有效提高方向关系表达的准确性和精确性。

关键词: 方向关系, 定性描述, MBR区域, 方向关系拓扑参考, 基于拓扑约束的层次方向关系矩阵模型

Abstract:

Directional relation is one of the most important characters of spatial objects and is useful for spatial retrieval, analysis and reasoning. For line and area reference objects, the directional reference is distinct in the different topological area. However, existing models ignore this difference and represent the direction relations based on the same reference in the whole region of MBR (minimum bounding rectangle). To overcome the problems of direction-relation representation in the MBR of reference object, this paper extend the model of direction-relation matrix and propose a new model based on topological restraint. The new model, called the hierarchical direction-relation matrix based on topological restraint, retains three direction-matrixes with empty and non-empty tiles, which record direction-relation codes for three topological regions. The new qualitative model is based on the topological restraints to direction-relation definition, in which (1) the minimum bounding rectangle of reference object is decomposed into three topological regions (i.e. exterior, boundary and interior); (2) topological references are defined to discribe the alteration of directional reference in three topological regions; (3) three direction-relation matrixes (i.e. exterior, boudary, interior direction-relation matrix) are utilized to represent the directional relations of three topological regions; and (4) a hierarchical calculative approach is proposed for discription of direction relations between different topolical spatial objects to improve the computational efficiency. The new model overcomes the discription difficulty of directional relations bewteen objects of complex topological relations and improve the accuracy and veracity of direction relations models.

Key words: Directional relations, Qualitative Description, Minimum bounding rectangle of reference object, Topological reference for direction-relation, Direction-relation hierarchical matrix model based on topological reference

中图分类号:

P208

唐雪华秦昆孟令奎. 基于拓扑约束的方向关系定性描述模型[J]. 测绘学报.

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