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关于Bezier曲面片C~1组合的研究
引用本文:王曦.关于Bezier曲面片C~1组合的研究[J].华北水利水电学院学报,1991(3):8-18.
作者姓名:王曦
作者单位:华北水利电学院机械系
摘    要:本文综合地对Bizider曲面片的C~1光滑连接作了深入的探讨,直观地阐明了曲面片之间C~1光滑连续的几何意义,用Gregory修正曲面片的方法,解决了Bezier曲面片角点扭矢相容性的问题,从而拓广了曲面造型能力。所述方法适用于矩形域Bizier曲面片及三、五、六边形非短形域曲面片的几何造型,对于工程应用中复杂曲面的造型问题,有很大的实用性。

关 键 词:曲面片连接  扭矢相容  矩形域  几何造型  修正曲面片  控制点

A Study on the C~1 Combination of Bezier Surface Patches
Wang Xi.A Study on the C~1 Combination of Bezier Surface Patches[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,1991(3):8-18.
Authors:Wang Xi
Abstract:In this paper, the C~1 Smooth connection between Bezier Surface patches has been discussed Comprchensively, itsgeometric meaning has been given intuitively. By means of Gregory's modified method, the compatible problem for the twist vectors of Bezier surface patches has been solved, thus the surface modeling ability has been extended. The method described here is fit to the geometric modeling of the surface patches over rectangular and aon--rectangular domain, Such as triangular, pentagonal and hexagonal, it is of great practical significance to the modeling problem of the Complicated Surface in engineering.
Keywords:Surface Patch Connection  Twisted Vector Compatibility  Rectangular Domain  Geometric Modeling Modified Surface Patch  Control Ponit
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