G^2 Continuity Algorithms between Adjacent NURBS Patches along Common Cubic Boundary Curve

作     者：周西军 ZHOU Xi-jun

作者机构：Mechanical and Electrical Engineering College Northwestern Polytechnical University Xi'an 710072 China 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2003年第16卷第4期

页      面：241-246,242-246页

核心收录：

学科分类：1305[艺术学-设计学（可授艺术学、工学学位）] 13[艺术学] 08[工学] 080203[工学-机械设计及理论] 081304[工学-建筑技术科学] 0802[工学-机械工程] 0813[工学-建筑学] 0825[工学-航空宇航科学与技术] 0801[工学-力学（可授工学、理学学位）] 080201[工学-机械制造及其自动化] 

主　　题：computer aided design geometric continuity non-uniform rational B-spline 

摘      要：Non-uniform rational B-spline (NURBS) curves and surfaces are becoming increasingly widespread. The author have explored G^1 continuity condition between adjacent NURBS surface patches along common cubic boundary curve. On the basis of the research performed, this paper presents a G^2 continuity condition between adjacent NURBS patches along common cubic boundary curve and deduces a specific algorithm for contro1 points and weights of NURBS patch. For making another NURBS patch and one given NURBS patch to attain G^2, according to algorithm condition, one can adjust another patch control points and weights. It is much more convenient for engineers to apply.