一种三次插值曲面的光滑拼接  

Smooth Stitching of a Cubic Interpolation Surface

作　　者：师晶[1] SHI Jing(College of Information Management,Minnan University of Science and Technology,Shishi 362700,China)

机构地区：[1]闽南理工学院信息管理学院,福建石狮362700

出　　处：《新乡学院学报》2022年第12期6-12,18,共8页Journal of Xinxiang University

基　　金：福建省中青年教师教育科研项目(JAT190868)。

摘　　要：为了解决复杂曲面的拼接问题,研究了一种带形状参数的三次插值曲面的连续性问题。利用三次插值曲线的性质导出了曲线间C^(1)、C^(2)连续定理和曲面间G^(1)拼接定理。给出了曲面的拼接方法及步骤,通过曲面造型算例验证了方法的有效性。In order to solve the problem of smooth stitching complex surfaces,the continuity of a cubic interpolation surface with shape parameters is studied.By using the geometric properties and convexity preserving properties of cubic interpolation curves,the C^(1) and C^(2) continuity theorem between curves,the G^(1) splicing theorem between surfaces are obtained.The method and procedure of surface stitching is given,and the effectiveness of the method is verified by calculation examples of surface modeling.

关 键 词：三次插值曲面 曲面拼接 插值算法 曲面造型 

分 类 号：O18[理学—数学]