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### 一种方向和度量关系组合描述模型

1. 西南大学地理科学学院,重庆 400715
• 收稿日期:2014-04-04 修回日期:2014-05-20 出版日期:2015-02-10 发布日期:2015-02-10
• 作者简介:

作者简介：沈敬伟(1984-),男,河北鸡泽人,博士,副教授,主要从事虚拟地理环境、三维GIS、GPS浮动车数据分析研究。E-mail:jingweigis@163.com

• 基金资助:
国家自然科学基金项目(41301417);重庆市基础与前沿计划 (cstc2014jcyjA20017);中央高校科研业务费(XDJK2013C035);西南大学博士基金项目(SWU111062)

### An Integrated Representation Model for Direction Relationships and Metric Relationships

SHEN Jingwei*()

1. School of Geographical Sciences, Southwest University, Chongqing 400715, China
• Received:2014-04-04 Revised:2014-05-20 Online:2015-02-10 Published:2015-02-10
• Contact: SHEN Jingwei E-mail:jingweigis@163.com
• About author:

*The author: SHEN Jingwei, E-mail:jingweigis@163.com

Abstract:

Both direction relationships and metric relationships are important spatial relationships. Independent representation model for direction relationships and metric relationships have appeared in large numbers. However, 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 relationships 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, southwest and southeast relationships. And three matric relationships, which include near, middle and far matric relationships, 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.