GIS中曲线误差的模型与试验研究  

Error Model of Curves in GIS and Its Digitizing Test

作　　者：郭同德[1] 王家耀[2] 王光霞[2] 

机构地区：[1]郑州大学环境与水利学院 [2]信息工程大学测绘学院,郑州市陇海中路66号450052

出　　处：《武汉大学学报（信息科学版）》2006年第1期78-81,共4页Geomatics and Information Science of Wuhan University

基　　金：郑州大学博士科研启动基金资助项目

摘　　要：提出了描述曲线整体误差的随机过程模型,用过程的数字特征函数定义了曲线的局部误差指标,用过程的积分定义了曲线的局部和整体误差指标,阐述了各指标的概率意义与几何意义,设计了过程模型的数字化试验,并提取了过程的样本曲线。通过对样本曲线的统计分析,得到了各误差指标的估计值。An error model named the stochastic error process of curves is proposed to describe the errors of curves in GIS . In terms of the stochastic process, four characteristics concerning the local error of curves, namely, mean error function, standard error function, absolute mean error function and the correlation function of errors are put forward. The total error of a curve is expressed by a mean square integral of the stochastic error process. The probabi listic meanings and geometric meanings of the characteristics mentioned above are also dis cussed, and a scan digitizing test is designed. The result of the test shows that the system error in digitized map data is not negligible, and the errors of points on curves are chiefly de pendent on the curvature and the concavity of the curves.

关 键 词：曲线误差模型 局部误差 整体误差 数字化试验 

分 类 号：P207[天文地球—测绘科学与技术] P208