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2011•Journal of Jishou UniversityRequires access

A Class of Modifiable Rational Bézier Curves and Its Properties

Jiang Li

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Abstract

A class of modifiable rational Bezier curves with n+1 control points and a parameter l are presented.These curves preserves the shape of the control polygon better than original Bezier curves.By varying the values of the parameter l,the shape of the curves can be modified and the curves approximate globally to the control polygon as l increases infinitely.

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What this paper is about

A class of modifiable rational Bezier curves with n+1 control points and a parameter l are presented.These curves preserves the shape of the control polygon better than original Bezier curves.By varying the values of the parameter l,the shape of the curves can be modified and the curves approximate globally to the control polygon as l increases infinitely.

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Available abstract

A class of modifiable rational Bezier curves with n+1 control points and a parameter l are presented.These curves preserves the shape of the control polygon better than original Bezier curves.By varying the values of the parameter l,the shape of the curves can be modified and the curves approximate globally to the control polygon as l increases infinitely.

Key concepts: Bézier curve, Polygon (computer graphics), Class (philosophy), Mathematics, Family of curves, Shape parameter, Applied mathematics, Pure mathematics

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