一种迭代法的圆曲线拟合方法  

A method of circular curve fitting based on iterative method

作　　者：陈明晶[1] 方源敏[1] 马波 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 [2]昆明市测绘研究院,昆明650051

出　　处：《测绘科学》2016年第5期133-136,共4页Science of Surveying and Mapping

摘　　要：针对在实际测量工作中量测圆心坐标及半径时存在的问题,该文基于迭代法的思想,推导了一种圆曲线拟合的方法,并用实例数据进行了检验。结果显示,该方法在离散点均匀采集或非均匀采集的情况下均具有良好的拟合效果,与目前在圆曲线拟合方法中普遍采用的最小二乘法相比,具有同样高的拟合精度,验证了该拟合方法的正确性与可行性。Aiming at the problem of surveying circular center coordinates and radius in practical surveying and mapping,the paper deduced a circular curve fitting method based on iterative theory.Experimental result showed that the method would have good fitting effects both in the cases of discrete points uniform and non-uniform collection,and have the same high-precise fitting with the least square algorithm widely used at present,which could prove the feasibility of the proposed method.

关 键 词：圆曲线 拟合 迭代法 圆心坐标 

分 类 号：P207[天文地球—测绘科学与技术]