2005•Journal of Hefei University of TechnologyRequires access
An extension of the cubic non-uniform B-spline curve
Zhu Gong-qin
Open publisher page 2 citations
Abstract
A class of polynomial blending functions of degree four is presented,which is an extension of the cubic non-uniform B-spline curve. Based on the blending functions,a method of generating piecewise polynomial curves with several shape parameters is obtained. By changing the value of the shape parameters,the approaching degree of the curves to their control polygon can be adjusted. For the given value of the shape parameters, the generated curves can be G~2 continuous and have the same properties as the cubic non-uniform B-spline curves.