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《Journal of Engineering Graphics》 2005-01
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The Effective Forms of the Weights of the Rational Bézier Curves

HAN Xu-li, XIAO Ming-yu (School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410083, China)  
A weights maximization method and a method based on the weights of a power exponent form for determining the weights of the rational Bézier curves of degrees are given. The methods are presented according to the Bernstein basis functions and their coefficients. The weights maximization method gives a kind of the weights for arbitrary degree of the rational Bezier curves and generates the curves which preserve the shape of the control polygon better than the Bézier curves. The method based on the weights of the power exponent form gives an effective form of the weights of the rational Bézier curves. The weights are local adjustable, and can provide a clear effect for shape adjustment.
【Fund】: 湖南省自然科学基金资助项目(01JJY2095)
【CateGory Index】: TP391.7
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