首页|New Proper Reparameterization of Plane Rational Bézier Curves
New Proper Reparameterization of Plane Rational Bézier Curves
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万方数据
维普
Coincidence detection of two curves or two surfaces has wide application in computer-aided design(CAD)and computer-aided geometric design(CAGD).Proper reparameterization is the most complicated part in the detection.This paper presents and proves the efficient and necessary coincidence condition for two rational Bezier curves in a new way.It also proposes an effective and efficient proper reparameterization method,Algorithm 1,for detecting a rational Bézier curve which can be degenerated into a new one of a lower degree.A numerical proper reparameterization method,Algorithm 2,and examples are also presented.Algorithm 1 is up to ten times faster than other prevailing methods,and Algorithm 2 is twice as fast and half as close as other prevailing methods.New CAD systems using Algorithm 1 and Algo-rithm 2 will hold accuracy and little computation time.
万方数据
维普
