地物性质与外形及其在地球椭球面上投影的数学定义  

Mathematical Definition of Property and Appearance for Geo-Object Projection on Earth Ellipsoid Features

作　　者：钟业勋[1,2] 童新华[1] 韦清嫄[2] 

机构地区：[1]广西师范学院资源与环境科学学院,南宁530001 [2]广西测绘地理信息局,南宁530023

出　　处：《桂林理工大学学报》2012年第4期528-531,共4页Journal of Guilin University of Technology

基　　金：广西自然科学基金项目(桂科自0448037)

摘　　要：根据空间、时间与物质运动的不可分离性,论述了地物在时间过程中演化的必然性和普遍性。通过边界、闭包等拓扑学概念,指出了地物性质和外形变换必需满足的条件,进而给出了地物性质和外形变换的数学定义。根据覆盖空间的定义,阐释了地物Ai与其在地球椭球面上的投影Ui同胚的原理。由于每一个确定的Ai与Ui的一一对应性而必需选择Ai,从而解释了专题制图的产生机制。According to non-separation of spatial,time and material motion,the necessity and geo-objects evolution in time are discussed.Through topologic concepts of boundary and elosure,transform conditions of property and appearance of geo-object are necessary.The mathematical definition of transform on property and appearance of geo-object is introduced.The definition of covering space explains the homeomorphism element of geo-object Ai and its projection on earth ellipsoid.As defined Ai and Ui belong to one-one mapping,so to select Ai,the produced mechamism of thematic mapping is explained.

关 键 词：地物演化 边界 性质 异位点集 数学定义 覆盖空间 同胚 

分 类 号：P282.1[天文地球—地图制图学与地理信息工程]