等高线悖论及等高线定义的修改  

Contour paradox and modification of contour definition

作　　者：钟业勋[1] 黄仁涛[2] 王龙波 

机构地区：[1]广西测绘局 [2]武汉大学资源与环境科学学院,湖北武汉430079

出　　处：《黑龙江工程学院学报》2007年第3期4-6,共3页Journal of Heilongjiang Institute of Technology

摘　　要：在等高线可视化和1:M比例条件下,传统的等高线定义产生悖论,即第一悖论:一条等高线有高程HC的同时又有另一高程Hi;第二悖论:一条等高线同时又是非等高线。通过等高线定义的修改,强调"地面等高线的高程必须与地图上等高线表示的高程相一致",而使任何等高线所对应的地面区域内,有且仅有一条线与地图上的等高线对应,从而使制图对象与地图符号之间的双一一函数关系得到满足且消除等高线悖论。Under contour visualization and 1 ： M scale condition, traditional contour definition produces the contour paradox, namely the first contour paradox： if a contour has elevation HC, at the same time it has 9ther elevation Hi ;the scond contour paradox： meanwhile a contour is noncontour. Through modification of contour definition, the paper stresses ＂elevation of contour on earth＇s surface must be identical with contour shown elevation on map＂. Thus the area on the earths＇surface of any contour corresponding only has one line corresponding to the contour on map. Thereby , the bijection relation between the mapping object and map symbol is satisfied and contour paradox is eliminated.

关 键 词：等高线 可视化 1:M比例尺条件 等高线悖论 等高线定义的修改 

分 类 号：P28[天文地球—地图制图学与地理信息工程]