最小二乘法和迭代法圆曲线拟合  

Fitting of circular curve based on least square method and iterative method

作　　者：陈明晶[1] 方源敏[1] 陈杰[1] 

机构地区：[1]昆明理工大学国土资源工程学院,昆明650093

出　　处：《测绘科学》2016年第1期194-197,202,共5页Science of Surveying and Mapping

摘　　要：为了提高形变监测中圆曲线拟合的精度,该文在总结已有的圆曲线拟合方法的基础上,推导了一种基于最小二乘法的圆曲线拟合方法:以原半径与拟合半径的几何距离差值平方和最小为准则,在计算过程中再结合迭代法,在离散点非均匀采集的情况下有效地提高拟合精度。最后运用程序对模拟数据及实例数据进行了处理分析,结果证明该拟合方法是可行的。In order to improve the accuracy of circular curve fitting in deformation monitoring,the paper proposed a fitting method of circular curve based on least square method：under the criterion that the sum of the squares of the geometric distance difference between the original radius and the fitting radius is minimum,combined with iterative method in the calculation process,the fitting precision could be improve effectively in the case of non-uniform collecting for discrete points.Finally the result of processing test data proved the feasibility of the fitting method.

关 键 词：圆曲线 拟合 最小二乘法 迭代法 圆心坐标 

分 类 号：P207[天文地球—测绘科学与技术]