计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (13): 178-181.

• 图形图像处理 • 上一篇    下一篇

四次C-Bézier曲线的形状修改

秦新强,申晓利,胡  钢   

  1. 西安理工大学 理学院,西安 710054
  • 出版日期:2014-07-01 发布日期:2015-05-12

Shape modification for quartic C-Bézier curves

QIN Xinqiang, SHEN Xiaoli, HU Gang   

  1. School of Science, Xi’an University of Technology, Xi’an 710054, China
  • Online:2014-07-01 Published:2015-05-12

摘要: 在分析四次C-Bézier曲线性质的基础上,通过修改形状参数[α]和调整控制顶点,分别提出了两种修改四次C-Bézier曲线形状的新方法。分析了控制参数[α]对曲线形状的影响,并通过调节形状参数实现了四次C-Bézier曲线形状的修改;基于控制顶点与曲线形状关系的几何模型,给出了另一种通过调整控制顶点来修改四次C-Bézier曲线形状的方法,实现了曲线整体或局部的形状修改;给出了一些具体的数值实例。造型实例表明,该方法在计算机辅助几何设计中具有一定的应用价值。

关键词: 四次C-Bé, zier曲线, 控制顶点, 形状参数, 形状调整

Abstract: Based on the analysis of the the quartic C-Bézier basis function, this paper puts forward two methods about the control shape of the quartic C-Bézier, the modify control parameter[α]and modify control vertex that control parameters on the role of the shape, and puts forward the control parameters adjustment methods of modification curve shape. On the other hand, based on the relations of control points and the curve shape, it establishes the algorithm of adjustment control vertex. Finally, the paper puts forward some specific numerical experiments. The modeling examples show that the method in computer aided geometric design has certain application value.

Key words: quartic C-Bézier curves, control points, shape parameter, shape modification