| 基于三角Bézier-like的过渡曲线构造 |
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| 引用本文： | 刘华勇,段小娟,张大明,李璐.基于三角Bézier-like的过渡曲线构造[J].浙江大学学报(理学版),2013,40(1):42-46. |
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| 作者姓名： | 刘华勇 段小娟 张大明 李璐 |
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| 作者单位： | 1. 安徽建筑工业学院数理系,安徽合肥,230601
2. 安徽建筑工业学院数理系,安徽合肥230601;浙江大学数学系,浙江杭州310027 |
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| 基金项目： | 安徽省自然科学基金资助项目(KJ2012B034;090412057) |
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| 摘 要： | 在形状调配过程中,过渡曲线的连续性往往是很难保证的.首先给出三角Bézier-like曲线的定义，然后从过渡曲线满足一定拟连续性的角度出发,利用三角Bézier-like曲线的端点性质, 研究形状参数曲线的参数拟连续特征保持问题.给出了线性混合过程中一阶和二阶参数拟连续保持条件,从而得出一般的三角Bézier-like曲线在形状调配中参数拟连续的保持方法. 同时构造出2种过渡曲线(C-形状和S-形状)的使用方法. 在工程设计中，该方法对机器人的行走、道路的设计和某些造型的软件设计具有一定的指导意义.
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| 关 键 词： | 形状调配 拟连续性 Bezier-like曲线 C-形状和孓形状 |
| 收稿时间： | 2010-11-11; |
Constructing of blending trigonometric Bézier-like curve |
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| LIU Hua-yong
,
DUAN Xiao-juan
,
ZHANG Da-ming
,
LI Lu.Constructing of blending trigonometric Bézier-like curve[J].Journal of Zhejiang University(Sciences Edition),2013,40(1):42-46. |
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| Authors: | LIU Hua-yong DUAN Xiao-juan ZHANG Da-ming LI Lu |
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| Institution: | 1(1.Department of Sciences and Physics,Anhui Institute of Architecture & Industry,Hefei 230601,China;2.Department of Mathematics,Zhejiang University,Hangzhou 310027,China) |
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| Abstract: | In shape blending process, the parametric quasi continuity of blending curves is not always preserved. In this paper, based on a symmetric opinion, firstly trigonometric Bezier-like curve is defined, the parametric quasi continuity preserving problems of blending curves are investigated by using the boundary properties of trigonometric Bezier-like curve. Especially, in the linear blending process, the maintenance conditions of the first order and the second order parametric quasi continuities are derived, and several solutions are discussed. The algorithms can be used in robot working, highway design and industry design, which use C-shape and S-shape often. |
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| Keywords: | shape blending quasi continuity Bézier-like curve C-shape and S-shape |
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