基于折线逼近的曲线位置与模型误差综合建模  

A comprehensive curve error model based on broken-line approximation in curve position

作　　者：孙彤[1] 童小华[1] 

机构地区：[1]同济大学测量与国土信息工程系,上海200092

出　　处：《测绘工程》2010年第3期26-30,共5页Engineering of Surveying and Mapping

基　　金：国家自然科学基金资助项目(40771174);上海市启明星跟踪项目(08QH14022)

摘　　要：针对目前GIS中曲线常通过一系列折线来逼近的情况,研究考虑由于折线逼近导致的模型误差和由于测量导致的点位随机误差综合影响的曲线不确定性模型。分析曲线拟合的分段准则,提出折线逼近产生的模型误差可由折线模型到真实曲线的垂直距离描述,建立集成模型不确定性与基于误差传播定律的位置不确定性的曲线误差综合量化模型。Since applying the broken line approximation model in fitting curve features is a conventional practice in GIS,this paper discusses the integration of model error and positional error for the model in describing the error of curve features.The principle of curve segmentation is studied,and the model error introduced through curve simplification is proposed to be described by the vertical distance between the broken line approximation and the true location of the curve.The integrated error model for curve fe...

关 键 词：拟合曲线 折线逼近 位置不确定性 模型不确定性 GIS 

分 类 号：P207.2[天文地球—测绘科学与技术]