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基于船体放样的三角Bézier曲线的逼近
引用本文:陈建兰,吴明.基于船体放样的三角Bézier曲线的逼近[J].杭州电子科技大学学报,2009,29(1).
作者姓名:陈建兰  吴明
作者单位:杭州电子科技大学理学院,浙江,杭州,310018
基金项目:杭州电子科技大学科学研究基金 
摘    要:在对形状参数为λ,μ的三角Bézier曲线的基函数及曲线端点特性分析的基础上,选择三角Bézier曲线中的控制参数和控制顶点,构造一条符合船体放样要求的三角Bézier曲线来逼近船型曲线(平面三次分段曲线),结果表明三角Bézier曲线是局部存在的,并且增强了三角Bézier曲线的控制及逼近曲线形状的能力,此法直观、简明,易于操作,并可进一步推广到其它曲线或曲面的逼近。

关 键 词:船体放样  形状参数  三角Bézier曲线  逼近

Approximation of Trigonometric Bézier Curve Based on the Ship Lofting
CHEN Jian-lan,WU Ming.Approximation of Trigonometric Bézier Curve Based on the Ship Lofting[J].Journal of Hangzhou Dianzi University,2009,29(1).
Authors:CHEN Jian-lan  WU Ming
Affiliation:CHEN Jian-lan; WU Ming (School of Science; Hangzhou Dianzi University; Hangzhou Zhejiang 310018; China);
Abstract:Based on the analysis of trigonometric Bézier basis functions and curve terminal properties for shape parameter,the parameters and points of trigonometric Bézier would be chosen.A trigonometric Bézier curve is constructed to approximation the ship line-plane cubic piecewise curve.Study shows that the solution exists locally,the trigonometric Bézier capacity of control and approximation curve shape would be strengthened.The method was direct and simple,and it is easy to operate.The approximation could be sat...
Keywords:ship lofting  shape parameter  trigonometric Bézier curve  approximation
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