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Quadratic TC-Bézier Curves with Shape Parameter

Wei Xu, Liu Qiang Wang, Xu Min Liu

Open publisher page 6 citations

Abstract

Quadratic TC-Bézier curves with shape parameter is constructed in a special space, it shares most optimal properties as those of the quadratic Bézier curves and its shape can be adjusted by changing the parameter value in . The circle and ellipse can be represented with this curve accurately. Presents G1 condition of quadratic TC-Bézier curves, the results have definite geometric meanings and can be applied to surface modeling conveniently.

About this research paper

What this paper is about

Quadratic TC-Bézier curves with shape parameter is constructed in a special space, it shares most optimal properties as those of the quadratic Bézier curves and its shape can be adjusted by changing the parameter value in . The circle and ellipse can be represented with this curve accurately. Presents G1 condition of quadratic TC-Bézier curves, the results have definite geometric meanings and can be applied to surface modeling conveniently.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Quadratic TC-Bézier curves with shape parameter is constructed in a special space, it shares most optimal properties as those of the quadratic Bézier curves and its shape can be adjusted by changing the parameter value in . The circle and ellipse can be represented with this curve accurately. Presents G1 condition of quadratic TC-Bézier curves, the results have definite geometric meanings and can be applied to surface modeling conveniently.

Key concepts: Bézier curve, Ellipse, Quadratic equation, Mathematics, Shape parameter, Quadratic model, Family of curves, Surface (topology)

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