Paper Info
Title
Generalized Ball Curves of Ninth Degree
Abstract
Two kinds of polynomial bases with parameter are constructed in this paper. Based on these bases, two kinds of curves with shape parameter are defined. The first kind of curve contained the Wang-Ball and Said-Ball curve of ninth degree and many curves located between them. The second kind of curve contained the Said-Ball and Bézier curve of ninth degree and many curves located between them. By analyzing the relation between the new curves and the Bézier curve of ninth degree, the geometric meaning of the shape parameters are gotten, and the geometrical drawing method of the new curves are given out in virtue of the de-Casteljau algorithm of the Bézier curve.
Year
DOI
Venue
2009
10.1109/ESIAT.2009.133
ESIAT (1)
Keywords
Field
DocType
de-casteljau algorithm,new curve,geometrical drawing method,zier curve,ninth degree,polynomial base,generalized ball curves,shape parameter,geometric meaning,said-ball curve,bezier curve,probability density function,information science,mathematical model,geometric mean,mathematics,algorithm design and analysis,data mining,polynomials,curve fitting,design automation,shape
Family of curves,Curve fitting,Polynomial,Mathematical analysis,French curve,Ninth,Bézier curve,Shape parameter,Probability density function,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Lanlan Yan1172.68
GuoGen Wu211.03
Jiongfeng Liang3172.68