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2013•ScienceAsiaOpen access

A class of quasi-quintic trigonometric Bézier curve with two shape parameters

Uzma Bashir, Muhammad Abbas, Mohd Nain Hj Awang, Jamaludin Md. Ali

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Abstract

In this paper, a class of quasi-quintic trigonometric Bézier curve with two shape parameters, based on newly constructed trigonometric basis functions, is presented.The new basis functions share the properties with Bernstein basis functions, so the generated curves inherit many properties of traditional Bézier curves.The presence of shape parameters provides a local control on the shape of the curve which enables the designer to control the curve more than the ordinary Bézier curve.

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What this paper is about

In this paper, a class of quasi-quintic trigonometric Bézier curve with two shape parameters, based on newly constructed trigonometric basis functions, is presented.The new basis functions share the properties with Bernstein basis functions, so the generated curves inherit many properties of traditional Bézier curves.The presence of shape parameters provides a local control on the shape of the curve which enables the designer to control the curve more than the ordinary Bézier curve.

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Available abstract

In this paper, a class of quasi-quintic trigonometric Bézier curve with two shape parameters, based on newly constructed trigonometric basis functions, is presented.The new basis functions share the properties with Bernstein basis functions, so the generated curves inherit many properties of traditional Bézier curves.The presence of shape parameters provides a local control on the shape of the curve which enables the designer to control the curve more than the ordinary Bézier curve.

Key concepts: Bézier curve, Quintic function, Mathematics, Trigonometry, Basis (linear algebra), Basis function, Shape parameter, Class (philosophy)

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