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带三参数的类四次Bezier曲线及其应用研究

仇茹 杭后俊 潘俊超

计算机工程与应用Issue(20):158-162,5.
计算机工程与应用Issue(20):158-162,5.DOI:10.3778/j.issn.1002-8331.1311-0067

带三参数的类四次Bezier曲线及其应用研究

Study of quasi quartic Bezier curves with three shape parameters and its application

仇茹 1杭后俊 1潘俊超1

作者信息

  • 1. 安徽师范大学 数学计算机学院,安徽 芜湖 241000
  • 折叠

摘要

Abstract

This paper extends the representation of quartic Bezier curve called quasi quartic bezier curve by introducing Bernstein basis function with three shape parameters and discusses the basis properties and the inner relations between quasi quartic bezier curves and quintic bezier curves. Taking different values of the shape parameters, shape of the curves can be modified easily. Without adjusting the control points, it can realize G2 merging of quasi quartic bezier curves by changing the values of the shape parameters locally which can better meet the practical applications. Finally, some specific examples are provided.

关键词

Bernstein基函数/Bezier曲线/拼接

Key words

Bernstein basis functions/Bezier curves/continuity

分类

信息技术与安全科学

引用本文复制引用

仇茹,杭后俊,潘俊超..带三参数的类四次Bezier曲线及其应用研究[J].计算机工程与应用,2014,(20):158-162,5.

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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