【摘要】 为了能使新构造的曲线拥有三次B样条的许多优良特性,同时还具有整体形状是可以调整的以及高阶连续性,通过构造一组含参数的三角样条基函数,构造出形状可调的三次三角样条曲线;讨论了该曲线在插值中的应用,并用服装纸样曲线造型为例,验证了所给方法的正确性和有效性。经过对所构造的曲线进行分析和实例验证,说明了本文构造的曲线不仅拥有三次B样条诸多的优良的性质,而且具有整体形状可调性以及高阶连续性,用于曲线造型设计是比较合适的。更多还原

【Abstract】 Cubic trigonometric spline curves with adjustable shape were constructed based on a set of trigonometric spline basis functions with parameters.The newly constructed curves have many excellent characteristics of cubic Bspline,as well as adjustable overall shape and high-order continuity.The curves was applied in interpolation and the correctness and validity of the method was verified by taking the shape of garment paper spline as an example.Through the analysis and examples of the curves constructed in this paper,it is showed that the curves not only have many excellent properties of cubic B-spline,but also have the adjustability of overall shape and high-order continuity,so they are suitable for curve modeling design.更多还原