基于特征保持的MLS截面数据拟合算法研究

提出改进的移动最小二乘(MLS)截面数据拟合算法,改善传统MLS拟合方法导致尖锐特征消失情况。首先引入与切矢夹角相关的权函数来改善原来的距离权函数。取计算点的切矢向量为其最近节点的切矢向量,当节点切矢向量与计算点切矢向量夹角大于阈值,该节点角度权值为0,否则为1。最终的权函数为距离权函数与角度权函数的乘积。其次,通过引入无穷小量,将特征点分解为两个无限与其靠近的数据点。经实验验证,当影响域半径在适当范围内变化时,改进的MLS方法均能很好地保持特征。

Algorithmic research on MLS section data fitting based on feature preservation

The fitting algorithm of improved moving least square(MSL)sectional date has been put forward so as to improve disappearing circs of sharp characteristics caused by the traditional MSL fitting method.Firstly introduced the weight function interrelated to the tangent vector included angle to improve the original distance weight function.Take the tangent vector of calculation point as tangent vector of its nearest node;while the included angle between tangent vector of node and tangent vector of calculation p...