球面栅格空间中的Jordan曲线性质及其拓扑矛盾分析
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。Abstract: 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.