摘要
构造光滑三边面，在ＣＡＤ研究中一直十分活跃，用偏微分方程（ＰＤＥ）构造曲面，是新颖的曲面造型方法；本文用偏微分方程数值解构造光滑三边面，采用数值积分法推导ＧＣ０及ＧＣ１三边面ＰＤＥ差分格式并给出了算法，这种曲面造型方法可以构造满足复杂约束条件的复杂曲面及应用曲面补洞等．
It's very active in the research of CAD to construct smooth three boundary surface until now.Generating surface by PDE is a new method for surface modeling.In this paper,the smooth three boundary surface is generated using numerical method for solving partial differential equations(PDE).The author derives the difference form for PDE on generating GC 0 or GC 1 three boundary surface using numerical integral method and gives the algorithm.The method for surface modeling constructs complicated surface satisfying the complicated constraint condition and can be applied to filling the hole of surfaces etc.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
1998年第5期425-431,共7页
Journal of Computer-Aided Design & Computer Graphics
基金
霍英东教师基金
国家自然科学基金
