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带多个形状参数的三次三角多项式样条曲线
Cubic Trigonometric Polynomial Curves with Multi-shape Parameters
【摘要】 给出了一类带多个形状参数的三次三角多项式样条曲线,它是同类三次三角多项式曲线的一种扩展.曲线的每一段由连续的四个控制点生成,通过参数调节,可以达到不同连续阶的曲线,最高可以达到C5连续.在控制点确定的情况下,可以调节参数以达到实际造型的需要.
【Abstract】 Cubic trigonometric polynomial curves with multi-shape parameters were proposed in this paper,which extended similar cubic trigonometric polynomial curves.Each section of the curve was generated by four successive control points,which achieved different continuities through the parameters’ adjustment.The curves are C5 continuous at the best.When the control points are given,parameters can be adjusted to meet the needs of actual geometric modeling.
【关键词】 三角多项式;
样条曲线;
多形状参数;
【Key words】 trigonometric polynomial; spline curves; mulit-shape parameter;
【Key words】 trigonometric polynomial; spline curves; mulit-shape parameter;
- 【文献出处】 佳木斯大学学报(自然科学版) ,Journal of Jiamusi University(Natural Science Edition) , 编辑部邮箱 ,2010年02期
- 【分类号】TP391.72
- 【被引频次】1
- 【下载频次】47