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Modification to the shape of rational Bézier curve with geometric constraint

Qian Zhao

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Abstract

Rational Bezier curve is one kind of the most commonly parametric curves in CAGD and Computer Graphics. This paper investigates the modification to the shape of rational Bezier curves with geometric constraint. A new method of constrained optimization is presented in this paper based on changing the control points of the curves or changing the weights. Finally numerical examples are also given.

About this research paper

What this paper is about

Rational Bezier curve is one kind of the most commonly parametric curves in CAGD and Computer Graphics. This paper investigates the modification to the shape of rational Bezier curves with geometric constraint. A new method of constrained optimization is presented in this paper based on changing the control points of the curves or changing the weights. Finally numerical examples are also given.

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Method / approach

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Available abstract

Rational Bezier curve is one kind of the most commonly parametric curves in CAGD and Computer Graphics. This paper investigates the modification to the shape of rational Bezier curves with geometric constraint. A new method of constrained optimization is presented in this paper based on changing the control points of the curves or changing the weights. Finally numerical examples are also given.

Key concepts: Bézier curve, Constraint (computer-aided design), Geometric design, Parametric equation, Mathematics, Parametric statistics, Graphics, Mathematical optimization

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