三次B样条插值曲面及其实现  

CUBIC B-SPLINE INTERPOLATION SURFACE AND ITS REALIZATION

作　　者：那日萨[1] 

机构地区：[1]大连理工大学应用数学系,中国科学院现代制造的CAD/CAM技术开放实验室

出　　处：《小型微型计算机系统》1995年第3期23-28,共6页Journal of Chinese Computer Systems

摘　　要：目前在ＣＡＤ／ＣＡＭ的自由曲面构造方法中，较流行的有Ｂ样条曲面、Ｂｅｚｉｅｒ曲面、Ｂａｌｌ曲面等方法。但由这几种方法生成的都是拟合曲面，而非插值曲面，常常不能满足一些工程实际中严格插值的要求。本文构造了一种自由插值曲面生成方法──Ｂ样条母线法。所生成曲面达到Ｃ２级光滑。适用机械、模具、汽车、造船等制造加工行业的复杂曲面设计。Maily popular design methods of free-form surface in CAD/CAM, such as Bsplins surface, Bener surface, Ball stlrface, etc, only can be used to clesigll fitting, not interpolation surface, and are not fit for designing interpolation surfaces in engneering. In this work, a new method-the method of B-spline generatix is proposed, by which interpolation surfaces of C2 continuity can be designed. And, the surface design in mLinufacturing such sa die-machining t ship-building, etc.

关 键 词：B样条曲面 样条插值 自由曲面 CAD CAM 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] TP391.73[自动化与计算机技术—计算机科学与技术]