带多参数的Bézier曲线扩展及参数几何意义  

Extension of Bézier Curves with Multiple Parameters and Geometric Significance of the Parameters

作　　者：程黄和 王凤兰[2] CHENG Huang-he;WANG Feng-lan(Department of Public Basic Course Education,Shantou Preschool Education College in Guangdong,Shantou,Guangdong,515078;College of Electronic and Information Engineering,Shantou Polytech-nic,Shantou,Guangdong,515078)

机构地区：[1]广东汕头幼儿师范高等专科学校公共基础课教学部,广东汕头515078 [2]汕头职业技术学院电子信息学院,广东汕头515078

出　　处：《韩山师范学院学报》2023年第3期6-12,共7页Journal of Hanshan Normal University

摘　　要：提出一类新的带多参数的Bernstein基函数,该类基函数具有与Bernstein基函数相类似的非负性、规范性、对称性和端点性,并定义了一类带多形状参数的Bézier曲线,分析了该类曲线中形状参数的几何意义,通过选取不同的形状参数,对曲线形状的调整可以精确偏向某一确定的控制顶点,使曲线形状的调整更加灵活多变.In this paper,a new class of Bernstein basis functions with multiple parameters is proposed,which have non-negativity,normality,symmetry and endpoint property similar to Bernstein basis functions.A class of Bézier curves with multiple shape parameters is defined,and the geometric significance of shape parameters in these curves is analyzed.By selecting different shape parameters,the curve shape can be adjusted to precisely favor a certain defined control vertex,making the curve shape adjustment more flexible and variable.

关 键 词：BÉZIER曲线 调配函数 形状参数 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]