上海交通大学学报

上海交通大学学报（自然版）

• 自动化技术、计算机技术 • 上一篇    下一篇

带参数均匀B样条曲线的近似合并

秦新强，岳丽，胡钢，李凯
  

  1. (西安理工大学 理学院, 西安 710054)
  • 收稿日期:2009-11-23 修回日期:1900-01-01 出版日期:2010-08-31 发布日期:2010-08-31

Approximate Merging of a Pair of Cubic Uniform Bspline Curves with Shape Parameters

QIN Xinqiang，YUE Li，HU Gang，LI Kai
  

  1. (School of Science, Xi’an University of Technology, Xi’an 710054, China)
  • Received:2009-11-23 Revised:1900-01-01 Online:2010-08-31 Published:2010-08-31

摘要： 为了进一步丰富和发展一种带多局部形状参数的3次扩展均匀B样条曲线的相关理论，提出了该曲线的一种近似合并方法.该方法通过将曲线拟合方法与广义逆矩阵理论相结合，直接得到了合并后3次带参扩展均匀B样条曲线控制顶点的显示表达式，同时还给出了具体的合并误差.实例结果表明，所提出的方法不仅可以获得较好的合并效果，而且具有易于实现、误差计算简单的特点，可以广泛地应用于计算机辅助设计中对曲线的近似合并.

关键词: 3次扩展均匀B样条, 形状参数, 近似合并, 曲线拟合

Abstract: In order to develop the basic theory of cubic uniform Bspline curve with multiple shape parameters, the approximate merging of existing curve design was researched. By combining the fitting method of curves with the theory of the general inverse matrix, the explicit formula of control points of the merged cubic uniform Bspline curve with multiple shape parameters can be given directly. Eventually, some merging examples were discussed and the errors of approximate merging were also given. The experimental results illustrate that the proposed method not only has a good merging effect, but also is easy to implement and simple for error estimation.

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