Bezier曲线反求参数算法的研究

Bezier曲线在工程领域有着广泛的应用,针对某船体外型修正软件中存在的原外型与参数曲线光滑衔接及获取参数和斜率的问题,提出了一种已知轴坐标反求Bezier曲线参数的快速高效算法,应用该算法,避开了对高次方程求解时时间复杂度高甚至无解的弊病,并由此设计了一种新型曲线绘制方法,具有广泛的工程应用价值.

Research on Reverse Evaluation Parameter Algorithm of Bezier Curve

Bezier Curve has widely been utilized in engineering fields.There have been the existing problems of the smooth joint of the original outer form and parameter curve,as well as the acquisition of parameter and slope in the correcting software of a certain hull form of ships.Aim- ing at these mentioned problems,a quick and efficient algorithm of the known axis coordinate reverse evaluation Bezier curve parameter is prop- osed.This algorithm will help avoid the time complexity and the drawback of no solution while finding the solution of certain equation of high degree.A new curve plot method with extensive applied values has been formed.