摘要
在流曲线曲面造型方法中,引入非均匀细分,给出了Gaussian球面上非均匀细分的模式和计算方法,以及基于非均匀细分的流曲线曲面生成算法,研究了流曲线曲面和双三次非均匀B样条曲面G1光滑拼接的条件,并给出与两双三次非均匀B样条曲面G1混合的流曲线曲面的构造算法.
Non-uniform subdivision is introduced in streamline modeling. Expressions and calculations of nonuniform subdivision are given on Gaussian sphere. The generation approaches of stream curve and surface based on non-uniform subdivision are provided. G1 continuity conditions between bicubic B-spline surface and stream curve and surface are studied. Furthermore, a construction means to blend bicubic B-spline surfaces with stream curve and surface is presented.
出处
《中国科学院研究生院学报》
CAS
CSCD
2008年第4期554-559,共6页
Journal of the Graduate School of the Chinese Academy of Sciences
基金
国防基础科研项目资助
关键词
流曲线曲面
曲面混合
细分
四元数
stream curve and surface; surface blending; subdivision; quaternion