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2008•International Journal of Computer MathematicsRequires access

Bézier curves and surfaces with shape parameters

Lianqiang Yang, Xiaoming Zeng

Open publisher page 71 citations

Abstract

Bézier curves with n shape parameters and triangular Bézier surfaces with 3n(n+1)/2 shape parameters are presented in this paper. The geometric significance of the shape parameters and the geometric properties of these curves and surfaces are discussed. The shapes of the curves and the surfaces can be modified intuitively, foreseeably and precisely by changing the values of the shape parameters.

About this research paper

What this paper is about

Bézier curves with n shape parameters and triangular Bézier surfaces with 3n(n+1)/2 shape parameters are presented in this paper. The geometric significance of the shape parameters and the geometric properties of these curves and surfaces are discussed. The shapes of the curves and the surfaces can be modified intuitively, foreseeably and precisely by changing the values of the shape parameters.

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OpenAlex reports 71 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Bézier curves with n shape parameters and triangular Bézier surfaces with 3n(n+1)/2 shape parameters are presented in this paper. The geometric significance of the shape parameters and the geometric properties of these curves and surfaces are discussed. The shapes of the curves and the surfaces can be modified intuitively, foreseeably and precisely by changing the values of the shape parameters.

Key concepts: Mathematics, Bézier curve, Shape parameter, Geometric design, Geometric shape, Geometry, Family of curves, Surface (topology)

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