Computer Science ›› 2018, Vol. 45 ›› Issue (3): 46-50.doi: 10.11896/j.issn.1002-137X.2018.03.007

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A New Kind of Parametric Curves by Special Basis Function

LI Jing-gai, CHEN Qiu-yang, HAN Jia-qi, HUANG Qi-li and ZHU Chun-gang   

  • Online:2018-03-15 Published:2018-11-13

Abstract: The construction of parametric curves and surfaces is very important in computer aided geometric design.It’s well known that Bézier curve,which is defined by Bernstein basis functions is a basic method in curve design,and the B-spline curve and NURBS curve are generalizations of the Bézier curve .This paper defined a new kind of basis functions by a given real knot points set,which is a generalization of Bernstein basis functions,and defined a new parametric curve by these basis functions,called T-Bézier curve ,which preserves some properties of Bézier curve.What’s more,this paper presented the limit property of T-Bézier curve while some knots move and gave some examples to verify the properties of the curve.

Key words: Parametric curve,Basis function,Rational Bézier curve,Computer aided geometric design

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