Quadratic Non-uniform Hyperbolic B-spline Curves
Quadratic Non-uniform hyperbolic B-spline curves with a local parameter are presented in this paper. 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 curves can move locally toward the corresponding control points or the quadratic B-spline curves, respectively. The introduced curves can be used to interpolate the control points locally. Thus, the curves unify the representation of the curves for interpolating and approximating the control polygon. The hyperbola can be represented with the introduced curves exactly.
hyperbolic B-spline curve shape parameter local control interpolation approximation
XIE Jin XU Lixiang SUN Meilan XIE Jin XIE Chengjun ZHANG Jie
Department of mathematics and physics Hefei University Hefei, China Institute of Intelligent Machines Chinese Academy of Science Hefei, China
国际会议
杭州
英文
508-511
2012-03-23(万方平台首次上网日期,不代表论文的发表时间)