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球面栅格空间中的Jordan曲线性质及其拓扑矛盾分析 被引量:3

Properties of Jordan Curve and Topological Paradox in Spherical Surface Raster Space
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摘要 定义了球面栅格空间的拓扑元素,给出球面栅格空间中邻近、连通和空间目标的内部、边界和外部等空间目标的拓扑定义及形式化描述,讨论了Jordan曲线在球面栅格空间中的性质及由此引起的拓扑矛盾。 It's necessary to discuss the topology model of spherical surface raster space. Firstly, the basic topological issues about spatial object are given in the context of adjacency. Secondly, properties of Jordan curve are discussed in spherical surface raster space. Then the application on topological paradox is analyzed.
出处 《武汉大学学报(信息科学版)》 EI CSCD 北大核心 2006年第2期148-151,共4页 Geomatics and Information Science of Wuhan University
基金 国家自然科学基金资助项目(40471108 40301042)
关键词 全球离散格网 球面栅格空间 3连通 12连通 Jordan曲线 拓扑矛盾 global discrete grid system spherical surface raster space 3-connected 12-con-nected Jordan curve topological paradox
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参考文献8

  • 1Bartholdi III,Goldsman P.Continuous Indexing of Hierarchical Subdivisions of the Globe[J].Int.J.Geographical Information Science,2001,15(6):489-522
  • 2Dutton G.Polyhedral Hierarchical Tessellations:the Shape of GIS to Come[J].Geographical Information Systems,1991,1(3):49-55
  • 3Goodchild M F,Yang Shiren.A Hierarchical Data Structure for Global Geographic Information Systems[J].Computer Vision and Geographic Image Processing,1992,54(1):31-44
  • 4Chen Jun,Zhao Xuesheng,Li Zhilin.Algorithm for the Generation of Voronoi Diagrams on the Sphere based on QTM[J].Photogrammetric Engineering and Remote Sensing,2003,69(1):79-90
  • 5Hou Miaole,Zhao Xuesheng,Chen Jun.Sphere Digital Space Based on Manifold:Definition,Properties and Applications[G].//Zhou Qiming,Li Zhilin.Spatial Analysis and Decision Support.Rotterdam:Balkema Publishers,2003
  • 6Hou Miaole,Zhao Xuesheng,Chen Jun.The Basic Topology Model of Spherical Surface Digital Space[C].Proceedings of 20th ISPRS Congress,Istanbul,2004
  • 7Rosenfeld A.Digital Topology[J].Am.Math.Month,1979,86:621-630
  • 8Li Zhilin,Li Yongli,Chen Yongqi.Basic Topological Models for Spatial Entities in 3-Dimensional Space[J].GeoInformatica,2000,4(4):419-433

同被引文献28

  • 1白建军,赵学胜,陈军.基于椭球面三角格网的数字高程建模[J].武汉大学学报(信息科学版),2005,30(5):383-387. 被引量:15
  • 2白建军,赵学胜,陈军.基于线性四叉树的全球离散格网索引[J].武汉大学学报(信息科学版),2005,30(9):805-808. 被引量:25
  • 3赵学胜,白建军.基于菱形块的全球离散格网层次建模[J].中国矿业大学学报,2007,36(3):397-401. 被引量:16
  • 4陈军,侯妙乐,赵学胜.球面四元三角网的基本拓扑关系描述和计算[J].测绘学报,2007,36(2):176-180. 被引量:8
  • 5Dutton G. Universal Geospatial Data Exchange viaGlobal Hierarchical Coordinates [ C ] //The First Interna-tional Conference on Discrete Grids' 2000, Santa Bar-bara, California, USA, 2000.
  • 6Gold C M, Mostafavi M. Towards the Global GIS [ J ] . ISPRS Journal of Photogrammetry and Remote Sens-ing, 2000, 55(3) : 150-163.
  • 7Lukatela H. Ellipsoidal Area Computations of Large Terrestrial Objects [ C ] //The First International Conference on Discrete Grids' 2000, Santa Barbara, California. USA. 2000.
  • 8WHITE D. Global grids from recursive diamondsubdivisions of the surface of an octahedron or ico-sahedron [ J]. Environmental Monitoring and As-sessment, 2000, 4(1) : 93-103.
  • 9Sahr K, White D, Kimerling A J. Geodesic DiscreteGlobal Grid Systems [ J ] . Cartography and Geo-graphic Information Science, 2003, 30(2) : 121-134.
  • 10周启明.数字地球的参考模型[A]//李德仁.从数字影像到数字地球[M].武汉:武汉测绘科技大学出版社,2001:88-95.

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