| Delaunay三角网支持下的空间场表达 |
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| 引用本文： | 艾廷华.Delaunay三角网支持下的空间场表达[J].测绘学报,2006,35(1):71-76,82. |
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| 作者姓名： | 艾廷华 |
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| 作者单位： | 武汉大学,资源与环境科学学院,地理信息系统教育部重点实验室,湖北,武汉,430079 |
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| 基金项目： | 国家自然科学基金项目(40101023) |
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| 摘 要： | 不规则三角网TIN本质上属于基于场的空间数据模型,然而在GIS领域,通常将其局限于DTM数字地形模型的表达中,没有象规则栅格模型那样在平面实体及实体关系表达中发挥足够的作用。针对这一局限性,仿照规则格网的栅格数据模型,应用DELAUNAY三角网工具,建立一种面向平面空间场表达的形式化数据模型。应用三角形的3种基元:顶点、边、三角形面表达空间点、线、面目标,定义该模型上的3种操作:扩充、收缩与骨架化,并进一步推广到序惯操作与条件操作。在几个应用实例基础上,分析该模型在空间邻近关系表达上可发挥重要作用。
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| 关 键 词： | 空间数据模型 空间场 DELAUNAY三角网 地图综合 空间关系 |
| 文章编号： | 1001-1595（2006）01-0071-06 |
| 收稿时间： | 2004-04-14 |
| 修稿时间： | 2004-04-142005-10-26 |
A Spatial Field Representation Model Based on Delaunay Triangulation |
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| AI Ting-hua.A Spatial Field Representation Model Based on Delaunay Triangulation[J].Acta Geodaetica et Cartographica Sinica,2006,35(1):71-76,82. |
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| Authors: | AI Ting-hua |
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| Institution: | School of Resource and Environment Sciences, Wuhan University, Key Laboratory of Geographic Information System, Ministry of Education, Wuhan 430079, China |
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| Abstract: | Irregular triangulation TIN belongs to the field oriented spatial data model.But in GIS domain,TIN is usually restricted within the DTM representation,unlike other field based model regular raster widely applying in the representation of spatial entity and spatial relationship in the planar space.This paper aims at this limitation attempting to extend the role of TIN data model.Simulating the regular raster model,the study presents a formal spatial data model to represent the planar spatial field with the support of Delaunay triangulation.Based on the three geometric elements in a triangle components: vertex,edge,triangle area,the constructed data model describes spatial object point,line,region respectively.Three kinds of operators based on the model are formally defined,which are expanding,compressing and skeletonizing.And also three operators are extended to the situation of continuously and conditionally operation.Through several application examples,the paper gives the analysis that the model is able to play significant role in the spatial neighbor relationship representation. |
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| Keywords: | Spatial Data Model Spatial Field Delaunay Triangulation Map Generalization Spatial Relationship |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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