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椭圆型Offset曲线及其应用
引用本文:汪国平,孙家广. 椭圆型Offset曲线及其应用[J]. 计算机学报, 2000, 23(5): 531-536
作者姓名:汪国平  孙家广
作者单位:1. 北京大学计算机科学与技术系,北京,100871
2. 清华大学计算机科学与技术系,北京,100084;清华大学国家CAD工程中心,北京,100084
基金项目:国家自然科学基金!( 69772 0 19)
摘    要:针对Sweep曲面中形变控制的需要,提出了一种椭圆型offset曲线,并讨论了它的性质,为了便于造型系统的一致性表示,给出了椭圆型offset曲线的NURBS逼近表示算法。最后给出了椭圆型曲线的了它的应用实例,并在自主开发的几何造型系统GEMS5.0中实现。

关 键 词:offset曲线 椭圆型offset曲线 几何造型 CAD
修稿时间:1999-07-28

An Ellipse-Liked Offset Curve and Its Application
WANG Guo-Ping,SUN Jia-Guang. An Ellipse-Liked Offset Curve and Its Application[J]. Chinese Journal of Computers, 2000, 23(5): 531-536
Authors:WANG Guo-Ping  SUN Jia-Guang
Abstract:In this paper, on type of general offset curve, an ellipse liked offset is introduced to satisfy the smooth deformation control in the swept surface, and its properties are discussed. Furthermore, considering the compatibility with the data structures and algorithms of the geometric modeling system, this paper presents an offset approximated algorithm with NURBS curve. Finally, the reasonableness and the robustness are verified by many examples, which have been implemented in the commercial geometric modeling software GEMS 5.0 developed by Tsinghua University.
Keywords:general offset curve  ellipse offset curve  approximation  sweep surface  deformation
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