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2013•Journal of Jiamusi UniversityRequires access

A Kind of the Weights of Rational Bézier Curves

Zhu Xiao-lin

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Abstract

According to the Bernstein basis functions and coefficients,this paper gave a method to select the weights in order to make rational Bezier curves closer to the control polygon conditions.The method retained all the properties of weights of rational Bezier curves.Some numerical examples were given to illustrate its advantages in the shape control compared with other methods,and proved the result in theory.

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What this paper is about

According to the Bernstein basis functions and coefficients,this paper gave a method to select the weights in order to make rational Bezier curves closer to the control polygon conditions.The method retained all the properties of weights of rational Bezier curves.Some numerical examples were given to illustrate its advantages in the shape control compared with other methods,and proved the result in theory.

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Available abstract

According to the Bernstein basis functions and coefficients,this paper gave a method to select the weights in order to make rational Bezier curves closer to the control polygon conditions.The method retained all the properties of weights of rational Bezier curves.Some numerical examples were given to illustrate its advantages in the shape control compared with other methods,and proved the result in theory.

Key concepts: Bézier curve, Polygon (computer graphics), Mathematics, Rational function, Order (exchange), Basis (linear algebra), Applied mathematics, Mathematical optimization

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