基于NURBS的复杂扭变曲面空间光顺研究  

THE SMOOTHING'S RESEARCH OF COMPLEX SKEW CURVE BASED ON NURBS IN SPACE

作　　者：车君华[1] 李绍珍[1] 

机构地区：[1]山东大学机械工程学院,山东省济南市250061

出　　处：《山东大学学报（工学版）》2002年第4期346-348,共3页Journal of Shandong University（Engineering Science）

摘　　要：阐述了一种曲面空间光顺的方法 采用NURBS(非均匀有理B样条 )方法对空间曲面进行定义 ,把扭变曲面在空间分割成小块曲面片 ,直达到分割的精度要求 ,从而避免了由二维定义到三维映射转换的误差 利用NURBS方法求解小块曲面片控制矩阵和控制点 ,通过重新定义曲面片的权因子和控制点来对曲面局部形状进行修整 ,从而使曲面在空间的光顺性得到保证 此方法应用于风机叶片的扭变曲面以及相关曲面 ,得到了理想的光顺效果 。Described a way of smoothing the curved surface in space.Defines the curved surface with NURBS and divides the curved surface into the scraps until it is up to the precision.So it avoids the error of mapping from two dimensions to three dimensions.Seeks the control matrixes and points of the scrap by means of NURBS and finish the partial shape of the scraps by redefining weight factor and control points.So we can ensure the smoothing of the curved surface by this way.This way which has been applied into the skew curved surface and some curved surface concerned attains perfect effects of smoothing. So this way is a more practical way.

关 键 词：样条逼近/非均匀有理B样条 曲面 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] O18[自动化与计算机技术—计算机科学与技术]