一类Bézier型三角函数曲线的构造

摘要

Design and modification of curves is a significant research subject in the field of CAD/CAM and numerical control technology and has wide backgrounds of application. In order to meet the need of representing and designing complicated free curves, this paper constructs a new curves based on trigonometric functions - T curve, and presents the definitions and properties of its basis function and T curve. It is obvious that T curve owes the same excellent properties with Bezier curve.%曲线的设计与修改是CAD/CAM和数控技术研究的一个重要课题,具有广泛的应用背景.为了满足表示和设计复杂自由曲线的需求,论文构造了一类基于三角函数的曲线—T曲线,给出了三角基函数及T曲线的定义与性质.通过研究发现,所构造的曲线具有Bézier曲线类似的一系列优良性质.