| 摘要: |
| 定义了带两个形状参数α,β组成的混合函数，该混合函数组成的曲线具有Bézier曲线类似的几何性质；形状参数α,β取不同的数值时，曲线的形状可以进行调控，这种新的曲线具有简单的光滑拼接条件；给出了曲线间G2光滑拼接条件，前面一条曲线的末控制边与后一条曲线的首控制边重合，最后通过实例说明了该方法的几何造型中的有效性. |
| 关键词: 形状参数 曲线设计 混合函数 曲线拼接 |
| DOI： |
| 分类号: |
| 基金项目: |
|
| A New Kind of Curve Construction with Shape Parameters |
|
ZHANG Dan dan, LAO ZHI hong
|
| Abstract: |
| This paper defines the mixed function with shape parameter α,β, and the curve of the mixed function holds many similar geometrical qualities of Bezier curve. The shape of the curve can be adjusted when changing the value of the shape parameter α,βand this kind of new curve has simple smoothing match condition. This paper gives G2 smoothing match condition between the curves, reveals that the last edge of the first curve’s control polygon and the first edge of the second curve’s control polygon are coincident, and finally uses the examples to illustrate the effectiveness of this modeling method in geometrical shape. |
| Key words: shape parameter curve design mixed function curve match |
