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GIS中曲线误差的模型与试验研究
引用本文:郭同德,王家耀,王光霞.GIS中曲线误差的模型与试验研究[J].武汉大学学报(信息科学版),2006,31(1):78-81.
作者姓名:郭同德  王家耀  王光霞
作者单位:1. 郑州大学环境与水利学院,郑州市文化路97号,450002;信息工程大学测绘学院,郑州市陇海中路66号,450052
2. 信息工程大学测绘学院,郑州市陇海中路66号,450052
基金项目:郑州大学校科研和教改项目
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。

关 键 词:曲线误差模型  局部误差  整体误差  数字化试验
文章编号:1671-8860(2006)01-0078-04
修稿时间:2005年10月9日

Error Model of Curves in GIS and Its Digitizing Test
GUO Tongde,WANG Jiayao,WANG Guangxia.Error Model of Curves in GIS and Its Digitizing Test[J].Geomatics and Information Science of Wuhan University,2006,31(1):78-81.
Authors:GUO Tongde  WANG Jiayao  WANG Guangxia
Abstract: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 probabilistic meanings and geometric meanings of the characteristics mentioned above are also discussed,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 dependent on the curvature and the concavity of the curves.
Keywords:error model of curves  local error  whole error  digitizing test
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