GIS中基于ε_σ模型的随机折线元位置不确定性的可视化  

The visualization of positional uncertainty for random polyline based on ε_σ model in GIS

作　　者：李国重[1] 张国芹[1] 朱长青[2] 

机构地区：[1]信息工程大学理学院,河南郑州450052 [2]南京师范大学虚拟地理环境教育部重要实验室,江苏南京210046

出　　处：《测绘工程》2009年第5期10-14,共5页Engineering of Surveying and Mapping

基　　金：国家自然科学基金资助项目(40501058)

摘　　要：首先研究基于εσ模型单一折线段不确定性误差带,导出误差带边界线的解析表达式;然后通过算例分析,针对开折线和闭折线两种情况,由单一折线段误差带边界线的解析表达式,编程绘出位置不确定性随机折线的可视化图形。理论分析和可视化图形表明,在两条相邻折线的公共端点处,前一线段的右误差半圆的半径和后一线段的左误差半圆的半径未必相等,实际分析中需考虑到这种情况。In order to make the user understand polyline positional uncertainty easily and directly,the visualization expression to the polyline positional uncertainty is needed to studied.Firstly,the paper introduced the error band of the random single line segment based on εσ model.Then,the analytic expression of the error band boundary line for the random single line segment is deduced.Lastly,by examples,for the unclosed and closed random polyline cases,according to the analytic expression of the error band boundary line for the random single line segment, the visualization graph can be drawn through programme. The theoretical analysis and the visualization graph indicated that in two neighboring broken line＇s public vertices place, the preceding line segment＇s right error semicircle＇s radius and the latter line segment＇s left error semicircle＇s radius is not necessarily equal, and it should be considered in the analysis of the polyline positional uncertainty.

关 键 词：随机折线 位置不确定性 εσ模型 可视化 

分 类 号：P208[天文地球—地图制图学与地理信息工程]