计算机工程与应用2012，Vol.48Issue(9)：172-175,4.DOI:10.3778/j.issn.1002-8331.2012.09.049
带形状参数的四次Bézier曲线曲面
Quartic Bézier curves and surfaces with shape parameters
摘要
Abstract
A new polynomial base function of 4th degree with shape parameters is presented which includes the common quartic Bernstein basis function. Properties of this new base function are analyzed and the corresponding polynomial curve and surface with shape parameters are defined. They inherit the most properties of quartic Bezier curves and surfaces and degenerate to them when shape parameters are 1. Moreover the shape of the curve and surface can be adjusted entirely or locally through changing the values of the shape parameters when the control points are maintained. Examples illustrate that this method of constructing curves and surfaces is useful in CAGD.关键词
基函数/形状参数/线性无关/几何造型Key words
base function/ shape parameter/ linearly independent/ geometric modeling分类
信息技术与安全科学引用本文复制引用
陈晓彦,刘植,张莉..带形状参数的四次Bézier曲线曲面[J].计算机工程与应用,2012,48(9):172-175,4.基金项目
高等学校博士学科点专项科研基金资助课题(No.20110111120026,20100111120023) （No.20110111120026,20100111120023）
安徽省自然科学基金(No.11040606Q42) （No.11040606Q42）
合肥工业大学科学研究发展基金项目(No.2010HGXJ0084) （No.2010HGXJ0084）
合肥工业大学博士学位专项科研资助基金(No.2010HGBZ0563) （No.2010HGBZ0563）
中央高校基本科研业务费专项经费(No.2011HGXJ1076,2012HGXJ0039). （No.2011HGXJ1076,2012HGXJ0039）
