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Quadratic Non-uniform Hyperbolic B-spline Curves
Xie Jin 1 * #,TAN Jieqing 2
1.School of Computer and Information, Hefei University of Technology
2.Department of Mathematics and Physics, Hefei University
*Correspondence author
#Submitted by
Subject:
Funding: the National Nature Science Foundation of China （No.No.61070227), the Doctoral Program Foundation of Ministry of Education of China）
Opened online:24 December 2010
Accepted by: none
Citation: Xie Jin,TAN Jieqing.Quadratic Non-uniform Hyperbolic B-spline Curves[OL]. [24 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4398954
 
 
A class of quasi-quadratic non-uniform B-spline curves based on hyperbolic polynomials with a local parameter are presented in this paper, named as quadratic non-uniform hyperbolic B-spline curves, which inhert the most properties of quadratic non-uniform B-spline curves. The changes of a local shape parameter will only affect one curve segment. With the increase or decrease of the value of a shape parameter, the given curve can move locally towards the corresponding control vertex. The introduced curves can be used to interpolate the control points locally. Thus, the given curves unify the representation of the curves for interpolating and approximating the control polygon. A hyperbolic Bézier curve segment is also introduced as special case of the given hyperbolic B-spline curves.
Keywords:CAGD;Quadratic non-uniform B-spline curve;Hyperbolic Polynomials;Shape parameter; Local control; Interpolation; Approximation
 
 
 

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