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2006•Journal of Xiamen UniversityRequires access

Bézier Curves with Shape Parameter

Xiaoming Zeng

Open publisher page 3 citations

Abstract

A class of blending function of degree n+1(n≥1) with shape parameter is presented in this paper.It is an extension of the degree n Bezier curves basis function.Based on the blendin function,a method of generating piecewise ploynomial curves with a shap parameter is given.The properties of the curves and its blending functions are discussed.By changing the shape parameter value the shape of the constructed curves can be adjusted.With the elevation of degree of blending functions,feasible rang of the shape parameter value is extended.

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What this paper is about

A class of blending function of degree n+1(n≥1) with shape parameter is presented in this paper.It is an extension of the degree n Bezier curves basis function.Based on the blendin function,a method of generating piecewise ploynomial curves with a shap parameter is given.The properties of the curves and its blending functions are discussed.By changing the shape parameter value the shape of the constructed curves can be adjusted.With the elevation of degree of blending functions,feasible rang of the shape parameter value is extended.

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Available abstract

A class of blending function of degree n+1(n≥1) with shape parameter is presented in this paper.It is an extension of the degree n Bezier curves basis function.Based on the blendin function,a method of generating piecewise ploynomial curves with a shap parameter is given.The properties of the curves and its blending functions are discussed.By changing the shape parameter value the shape of the constructed curves can be adjusted.With the elevation of degree of blending functions,feasible rang of the shape parameter value is extended.

Key concepts: Shape parameter, Bézier curve, Mathematics, Piecewise, Degree (music), Function (biology), Extension (predicate logic), Mathematical analysis

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