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基于NURBS的PDE曲面构造法研究及应用
引用本文:余正生,雷毅.基于NURBS的PDE曲面构造法研究及应用[J].工程图学学报,1996(2):1-20.
作者姓名:余正生  雷毅
作者单位:北京航空航天大学
摘    要:由非均匀有理B样条曲线曲面给定边界条件,用偏微分方程来构造曲面,以参数“a”控制其整体形状,本文分析其思路原理及过程,并列举了在CAD上的应用,最后分析了优缺点。

关 键 词:非均匀B样条  偏微分方程  控制系数

THE RESEARCH AND APPLICATIONS OF PDE SURFACE BASED ON NURBS
Yu Zhengsheng, Lei Yi.THE RESEARCH AND APPLICATIONS OF PDE SURFACE BASED ON NURBS[J].Journal of Engineering Graphics,1996(2):1-20.
Authors:Yu Zhengsheng  Lei Yi
Affiliation:Beijing University of Aeronautics and Astronautics
Abstract:In terms of boundury conditions defined by NURBS surfaces, a method of using PDE to construct shape adjustable surfaces is discussed. The shape is controlled by some parameter 'a'. This paper analysis the principles and procedures of the method and explains the applications in CAD by several examples. Finally, its advantages and disadvantages are listed.
Keywords:NURBS  boundary condition  PDE  control parameter
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