2019DergiPark (Istanbul University)Open access

On The Cubic Bezier Curves In E^3

Şeyda Kılıçoğlu, Süleyman Şenyurt

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Abstract

In this study we have examined, the cubic Bezier curve based on the control points with matrix form in 3 E .Frenet vector fields and also curvatures of the cubic Bezier curve are examined in matrix form in 3 E .Also a simple way has been given to find the control points of any cubic Bezier curve.

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In this study we have examined, the cubic Bezier curve based on the control points with matrix form in 3 E .Frenet vector fields and also curvatures of the cubic Bezier curve are examined in matrix form in 3 E .Also a simple way has been given to find the control points of any cubic Bezier curve.

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Available abstract

In this study we have examined, the cubic Bezier curve based on the control points with matrix form in 3 E .Frenet vector fields and also curvatures of the cubic Bezier curve are examined in matrix form in 3 E .Also a simple way has been given to find the control points of any cubic Bezier curve.

Key concepts: Bézier curve, Mathematics, Cubic form, Frenet–Serret formulas, Matrix (chemical analysis), Simple (philosophy), Mathematical analysis, Cubic function

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