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2020•European Journal of Pure and Applied MathematicsOpen access

On the Involute of the Cubic Bezier Curve by Using Matrix Representation in E3

Åžeyda KılıçoÄŸlu, Sà ⁄ leyman Åženyurt

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Abstract

In this study we have examined, involute of the cubic Bezier curve based on the control points with matrix form in E3. Frenet vector fields and also curvatures of involute of the cubic Bezier curve are examined based on the Frenet apparatus of the first cubic Bezier curve in E3.

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What this paper is about

In this study we have examined, involute of the cubic Bezier curve based on the control points with matrix form in E3. Frenet vector fields and also curvatures of involute of the cubic Bezier curve are examined based on the Frenet apparatus of the first cubic Bezier curve in E3.

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Available abstract

In this study we have examined, involute of the cubic Bezier curve based on the control points with matrix form in E3. Frenet vector fields and also curvatures of involute of the cubic Bezier curve are examined based on the Frenet apparatus of the first cubic Bezier curve in E3.

Key concepts: Frenet–Serret formulas, Bézier curve, Mathematics, Involute, Matrix (chemical analysis), Mathematical analysis, Matrix representation, Representation (politics)

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