CAJ | 학술논문

为在统一的框架下研究方向和度量关系，在改进的锥形模型表达方向关系、定性度量关系表示的基础上，本文提出一种新的方向和度量关系组合描述模型。在对方向关系和度量关系定性描述基础上，采用7×7的矩阵和简化后的3×3的矩阵，分别表达方向和度量关系组合模型，并对组合模型的取值范围和数量进行分析。在方向和度量关系组合模型基础上，定义了组合描述模型的5个有效性规则，用于排除不可能的组合关系；设计了方向和度量关系组合描述模型的实例，用于验证模型的有效性。方向和度量关系组合描述模型将方向关系和度量关系有机地结合在一起，提高了空间关系描述的准确性和有效性。
위재통일적광가하연구방향화도량관계，재개진적추형모형표체방향관계、정성도량관계표시적기출상，본문제출일충신적방향화도량관계조합묘술모형。재대방향관계화도량관계정성묘술기출상，채용7×7적구진화간화후적3×3적구진，분별표체방향화도량관계조합모형，병대조합모형적취치범위화수량진행분석。재방향화도량관계조합모형기출상，정의료조합묘술모형적5개유효성규칙，용우배제불가능적조합관계；설계료방향화도량관계조합묘술모형적실례，용우험증모형적유효성。방향화도량관계조합묘술모형장방향관계화도량관계유궤지결합재일기，제고료공간관계묘술적준학성화유효성。
Both direction relationships and metric relationships are important spatial relationships. Independent representation model for direction relationships and metric relationships have appeared in large numbers. Howev-er, direction relationships and metric relationships have not been overall considered and the existing composition models have many drawbacks. Therefore, based on improvement of cone shaped direction relationships model and qualitative metric relationships model, an integrated representation model is proposed and the two spatial re-lationships are studied in a unified framework. To begin with, the direction relationships are classified into eight types by the improvement of cone shaped direction relationships model and the metric relationships are divided into three categories. Eight direction relationships include east, north, west, south, northeast, northwest, south-west and southeast relationships. And three matric relationships, which include near, middle and far matric rela-tionships, are set forth. Then, a 7 × 7 matrix is used to depict direction relationships and metric relationships in a unified framework, and it is detailed but relatively complex. Moreover, a 3 × 3 matrix, which replaces the above mentioned 7×7 matrix, is introduced to represent the direction and metric relationships. The range of the element in the matrix is descripted. The number of the matrix is set forth. Because not all the integrated relationships for direction and metric relationships are valid, five rules about the integrated representation model for direction and metric relationships are defined to exclude the invalid matrix. To verify the effectiveness of the integrated model, an example is given to testify the resultant relationships by applying the integrated model. Results show that this integrated representation model can improve the representation effect of the spatial relationships.