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

作　　者：余俊[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《佳木斯大学学报（自然科学版）》2010年第2期291-295,309,共6页Journal of Jiamusi University：Natural Science Edition

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.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 C^5 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 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]