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现代地质 ›› 2007, Vol. 21 ›› Issue (Suppl): 152-156.

• 地球探测与空间信息技术 • 上一篇    下一篇

基于超图(hypergraph)方法的DEM地形特征分形

欧建良,鲍峰,王卫安   

  1. 同济大学 测量与国土信息工程系, 上海200092
  • 收稿日期:2006-10-20 修回日期:2006-11-30 出版日期:2007-08-20 发布日期:2007-08-20
  • 作者简介:欧建良,男,博士研究生,1975年出生,大地测量学与测量工程专业,主要从事测绘GIS研究。
  • 基金资助:

    国家自然科学基金项目(40228002)

DEM Terrain Characteristic Fractal Based on Hypergraph

OU Jian-liang, BAO Feng, WANG Wei-an   

  1. Department of Survey and Geoinfomatics, Tongji University, Shanghai200092, China
  • Received:2006-10-20 Revised:2006-11-30 Online:2007-08-20 Published:2007-08-20

摘要:

如何从数字高程模型(DEM)获取更准确而整体性更好的结构特征是地理信息科学中的基础问题。从理论上分析数学超图(hypergraph)和地形特征逻辑关系,提出地形特征超关系,并探讨其在格网DEM山脊线山谷线提取中的具体实现。有限集合中超图的边包含个数不确定的顶点元素,而从DEM与结构特征两个不同层次类之间的关系来看,特征线是DEM内有限个元素的有序子集形式的超边再附加其它属性形成的线对象。应用DEM与结构特征之间的超关系可以为特征提取建立起一种新的途径。实验表明这种方法可以从DEM有效获取兼顾局部准确和整体性的特征线。

关键词: 超图, 数字高程模型, 地形特征超关系, 特征提取

Abstract:

It is a fundamental problem on how to obtain more accurate and integral structural characteristics from Digital Elevation Model (DEM) as possible in geoinformatics. This paper presented a new method as Terrain-Characteristic Hyper-Relationship (TCHR), which is based on mathematical hypergraph and terrain characteristic logical relationship. Hypergraph's edge in finite-set theory is defined to contain uncertain number of vertices. Based on hypergraph, DEM and its characteristic data can be formed into two hyper-classes, and characteristic line can be treated as the certain number of orderly vertices’sub-set additionally with its other properties. It is available to build a new idea for characteristic extraction based on the logic hyper-relationship between DEM and local area's structure characteristic. Thus method is proved to be useful to obtain more integrated and correct characteristic lines from the grid DEM.

Key words: hypergraph, digital elevation model, terrain characteristic hyper relationship (TCHR), characteristic extraction

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