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TWISTED CUBIC CURVES: THEIR REPRESENTATION IN COMPUTER-AIDED DESIGN

V Villoria San Miguel

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Abstract

Parametric curves were introduced into computer-aided design processes in the 1960s by Ferguson of the Boeing Company. Since then Bezier curves and B-splines have become significant and rational curves have also been used in some aircraft and ship designs. This paper describes the parametric representation of Bezier curves, Ferguson curves, B-spline curves and rational cubic curves.

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What this paper is about

Parametric curves were introduced into computer-aided design processes in the 1960s by Ferguson of the Boeing Company. Since then Bezier curves and B-splines have become significant and rational curves have also been used in some aircraft and ship designs. This paper describes the parametric representation of Bezier curves, Ferguson curves, B-spline curves and rational cubic curves.

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Available abstract

Parametric curves were introduced into computer-aided design processes in the 1960s by Ferguson of the Boeing Company. Since then Bezier curves and B-splines have become significant and rational curves have also been used in some aircraft and ship designs. This paper describes the parametric representation of Bezier curves, Ferguson curves, B-spline curves and rational cubic curves.

Key concepts: Bézier curve, Geometric design, Family of curves, Parametric equation, Representation (politics), Computer Aided Design, Mathematics, Parametric statistics

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