基于流曲线曲面的双三次非均匀B样条曲面G1混合  

G^1 continuity blending between bicubic non-uniform B-spline surfaces with stream curve and surface

作　　者：李秀娟[1] 廖文和[2] 刘浩[2] 何钢[2] 

机构地区：[1]南京航空航天大学理学院,南京210016 [2]南京航空航天大学机电学院,南京210016

出　　处：《中国科学院研究生院学报》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

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.

关 键 词：流曲线曲面 曲面混合 细分 四元数 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]