引用本文: 冯诒煜, 李亚娟, 邓重阳. 隐式B样条曲线拟合的加权PIA算法[J]. 计算机辅助设计与图形学学报. Yiyu FENG, LI, DENG. Weighted PIA algorithm for implicit B-spline curve fitting[J]. Journal of Computer-Aided Design & Computer Graphics.
 Citation: Yiyu FENG, LI, DENG. Weighted PIA algorithm for implicit B-spline curve fitting[J]. Journal of Computer-Aided Design & Computer Graphics. ## Weighted PIA algorithm for implicit B-spline curve fitting

• 摘要: 提出一种隐式B样条曲线拟合数据点的加权PIA算法. 首先, 用待拟合数据点以及给定法向量生成偏移点集. 然后, 通过偏移点集构造差分向量, 从而得到需要调整的误差控制系数, 为了使迭代效率更高, 在迭代过程中对误差控制系数做加权处理. 最后, 用最新的控制系数矩阵得到拟合数据点的曲线. 数值算例结果表明, 在相同迭代次数下, 相对于I-PIA算法, 该算法得到的拟合曲线误差值更小, 曲线更光顺.

Abstract: A weighted PIA algorithm for implicit B-spline curve fitting data points is proposed. Firstly, the offset point set is generated by using the data points to be fitted and the given normal vector. Then, the difference vector is constructed by the offset point set, so as to obtain the error control coefficient to be adjusted. In order to make the iteration efficiency higher, the error control coefficient is weighted in the iteration process. Finally, the curve of the fitted data points is obtained by using the latest control coefficient matrix. / 下载:  全尺寸图片 幻灯片
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