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2012•Journal of Beijing Institute of Clothing TechnologyRequires access

Quasi-Cubic Bézier Interpolation Curves with One Shape Parameter

Wang Cheng-wei

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Abstract

Bezier curve is an important curve in CAGD.As an example of quasi-cubic Bezier curve with one shape parameter,the characters of quasi-cubic Bezier curves with one shape parameter are analyzed,a class of C2 continuous quasi-cubic Bezier interpolation curves with one shape parameter is constructed.At last,the illustrations show that interpolation curves with one shape parameter are effective in practice on geometric modeling.

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What this paper is about

Bezier curve is an important curve in CAGD.As an example of quasi-cubic Bezier curve with one shape parameter,the characters of quasi-cubic Bezier curves with one shape parameter are analyzed,a class of C2 continuous quasi-cubic Bezier interpolation curves with one shape parameter is constructed.At last,the illustrations show that interpolation curves with one shape parameter are effective in practice on geometric modeling.

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Available abstract

Bezier curve is an important curve in CAGD.As an example of quasi-cubic Bezier curve with one shape parameter,the characters of quasi-cubic Bezier curves with one shape parameter are analyzed,a class of C2 continuous quasi-cubic Bezier interpolation curves with one shape parameter is constructed.At last,the illustrations show that interpolation curves with one shape parameter are effective in practice on geometric modeling.

Key concepts: Bézier curve, Cubic form, Interpolation (computer graphics), Shape parameter, Monotone cubic interpolation, Mathematics, Geometric design, Family of curves

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