【摘要】 在以往的数据整体光顺方法中 ,常用的能量法、最小二乘法等等 ,都涉及到求解一个系数矩阵至少是五对角的线性方程组 ,本文用三次Bezier样条来进行拟合 ,引入控制网格的概念 ,定义加权的控制网格折线段长度平方和为目标函数来进行优化 ,只需求解一个系数矩阵为对称正定三对角的线性方程组 ,该算法简便快捷 ,便于推广 .更多还原

【Abstract】 There is at least a pentadiagonal linear set of equations of coefficient matrix to be derived in the past data entire fairing algorithm, such as the commonly-used energy method and least square method. This paper fits by means of Bezier spline three times, introduces the concept of controlled network; defines sum of squares of the leagth of polgonal line in controlled network as objective function to optimize, so that a tridiagonal linear set of equations of coefficient matrix is needed to be derived. This algorithm is simple. convenitent and fast, which is easy to be popularized.更多还原