G^0 and G^1 connection between two adjacent B-spline surfaces  

作　　者：MU Guowang ZANG Ting DAI Shijie 

机构地区：[1]School of Science,Hebei University of Technology [2]School of Mechanical Engineering,Hebei University of Technology

出　　处：《Computer Aided Drafting,Design and Manufacturing》2013年第1期53-57,共5页计算机辅助绘图设计与制造（英文版）

基　　金：Supported by the Natural Science Foundation of Hebei Province(No.F2012202041);Youth Research Foundation of Science and Technology of Hebei Education Departmen(No.Q2012022)

摘　　要：In this paper, the smooth connection between two B-spline surfaces is discussed. First, a brief proof of some simple sufficient conditions of Go and G1 continuity is given. On this basis, a novel method for Go or G1 connection between two adjacent B-spline surfaces is presented. A reparameterization step is firstly taken for one of the surfaces such that they have the same parameterization in v direction, then, adjust their boundary control vertices to make them Go or Gl connected. The GI connection parameter is determined by an optimization problem. Compared with the existed methods, our method is simple and easy to be used in practice.In this paper, the smooth connection between two B-spline surfaces is discussed. First, a brief proof of some simple sufficient conditions of Go and G1 continuity is given. On this basis, a novel method for Go or G1 connection between two adjacent B-spline surfaces is presented. A reparameterization step is firstly taken for one of the surfaces such that they have the same parameterization in v direction, then, adjust their boundary control vertices to make them Go or Gl connected. The GI connection parameter is determined by an optimization problem. Compared with the existed methods, our method is simple and easy to be used in practice.

关 键 词：computer aided geometric design B-spline surface geometric continuity reparameterization OPTIMIZATION 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]