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最佳曲线拟合
引用本文:巨正平,郭广礼,张书毕,齐建伟.最佳曲线拟合[J].江西科学,2009,27(1):25-27.
作者姓名:巨正平  郭广礼  张书毕  齐建伟
作者单位:中国矿业大学环境与测绘学院,江苏,徐州,221008;中国矿业大学资源环境信息工程重点实验室,江苏,徐州,221008
摘    要:针对数字化地图曲线拟合的特点,提出了将采集点的纵、横坐标均看作观测值,依据各观测点到估计曲线的正交距离残差平方和最小作为拟合准则,采用附有参数的条件平差模型求观测值及参数的改正数。通过实例分析得出,此类方法不仅提高了曲线拟合精度,而且得到的结果更为真实、可靠。

关 键 词:最小二乘法  曲线拟合  条件平差

The Best Curve Fitting
JU Zheng-ping,GUO Guang-li,ZHANG Shu-bi,QI Jian-wei.The Best Curve Fitting[J].Jiangxi Science,2009,27(1):25-27.
Authors:JU Zheng-ping  GUO Guang-li  ZHANG Shu-bi  QI Jian-wei
Institution:1.School of Environment Science and Spatial Information;CUMT;Jiangsu Xuzhou 221008 PRC;2.Jiangsu Key Laboratory of Resources and Environmental Information Engineering;Jiangsu Xuzhou 221008 PRC
Abstract:Based on the characteristics of curve fitting for digitizing map,a new curve fitting criterion is set up,which is regarding coordinates X and Y as observation value and according the square sum of the shortest distance from observation points to estimates curve to the minimum and determine the parameters of curve fitting.Through the analysis of examples,such curve fitting method enhanced curve fitting accuracy,and the results more truthful and reliable.
Keywords:Least squares  Curve fitting  Condition-adjustment  
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