【摘要】 针对圆曲线拟合参数求解的问题,该文在分析现有的圆曲线模型构建及其参数求解方法的基础上,以圆曲线的参数方程建立圆曲线拟合模型,采用总体最小二乘算法的求解模型参数。通过实例数据和模拟数据,对比分析现有以一般方程构建的圆曲线拟合模型的最小二乘算法、混合总体最小二算法以及根据协方差传播定率定权的加权总体最小二乘算法计算结果。实验结果表明,采用该文提出的总体最小二乘算法求解由参数方程构建的拟合模型,效率和准确度均有所提高。更多还原

【Abstract】 Aiming at the problem of circular curve fitting,this paper in-depth analyzed the construction method for solving the parameters of the existing model of the circular curve and took total least squares to solve the parameters of circle fitting model established by its parametric equation.Comparing the existing least squares algorithm,mixed total least squares algorithm,weighted total least squares algorithm for circle fitting model established by its standard form,the examples results illustrated that the efficiency and feasibility of the algorithm proposed in this paper were better.更多还原