测绘学报 ›› 2015, Vol. 44 ›› Issue (4): 438-444.doi: 10.11947/j.AGCS.2015.20130708

• 地图学与地理信息 • 上一篇    下一篇

复合面状对象拓扑关系的表达模型

陈占龙1,2, 冯齐奇1, 吴信才1   

  1. 1. 中国地质大学(武汉)信息工程学院, 湖北 武汉 430074;
    2. 地理信息工程国家重点实验室, 陕西 西安 710054
  • 收稿日期:2013-12-02 修回日期:2014-06-17 出版日期:2015-04-20 发布日期:2015-04-27
  • 作者简介:陈占龙(1980—),男,博士,副教授,研究方向为空间分析算法、空间推理、地理信息系统软件开发与应用.E-mail:chenzhanlong2005@126.com
  • 基金资助:
    国家自然科学基金(41401443);国家科技支撑计划(2011BAH06B04);地理信息工程国家重点实验室开放基金(SKLGIE2013-Z-4-1);测绘遥感信息工程国家重点实验室开放基金(13I02);中央高校基本科研业务费专项(CUGL130260)

Representation Model of Topological Relations between Complex Planar Objects

CHEN Zhanlong1,2, FENG Qiqi1, WU Xincai1   

  1. 1. Department of Information Engineering, China University of Geosciences, Wuhan 430074, China;
    2. State Key Laboratory of Geography Information Engineering, Xi'an 710054, China
  • Received:2013-12-02 Revised:2014-06-17 Online:2015-04-20 Published:2015-04-27
  • Supported by:
    The National Natural Science Foundation of China (No. 41401443);The National Key Technology Research and Development Program of the Ministry of Science and Technology of China (No. 2011BAH06B04);Open Research Fund of State Key Laboratory of Geography Information Engineering (No. SKLGIE2013-Z-4-1);Open Research Fund of State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing(No. 13I02);Research Funds for the Central Universities Basic Special Projects (No. CUGL130260)

摘要: 为表达复合面状对象间的细节拓扑关系,对经典9-交集模型进行了改进,给出两种基于分解思想的9-交集模型,其中分解成简单区域的9-交集模型方法相对简单,但表现形式繁琐;分解成点集的9-交集模型的表现形式符合经典9-交集模型,但计算较为复杂.通过示例比较了两种扩展9-交集模型及经典9-交集模型的表达能力.结果表明,两种扩展交集模型均能准确地表达出复合面状对象各子部分之间的拓扑关系的细节,扩充了9-交集模型的表达能力.

关键词: 复合面状对象, 拓扑关系, 9-交集模型扩展

Abstract: In order to express the details of the topological relations between complex planar objects, the classic 9-intersection model is improved and the two extended 9-intersection models that based on decomposition ideas are proposed: the one 9-intersection model method that is decomposed into simple area has its advantage of simplification, but at the cost of complicated expressions; another 9-intersection model method that is decomposed into point-set, conforming well with the classical 9-intersection model, but has relatively complex calculations. Compared the expressive abilities between the two kinds of extened 9-intersection models and the classic 9-intersection model by examples. The results show that both the two extended 9-intersection models can give more accurately expression of the topological relations between details of the sub parts in complex planar objects, the expressive ability of 9-intersection model has been expanded and improved.

Key words: complex planar objects, topological relations, 9-intersection expending

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