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

Åžeyda KılıçoÄŸlu, Sà ⁄ leyman Åženyurt

2020European Journal of Pure and Applied Mathematics16 citationsDOIOpen Access PDF

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. Â

Topics & Concepts

Frenet–Serret formulasBézier curveMathematicsInvoluteMatrix (chemical analysis)Mathematical analysisMatrix representationRepresentation (politics)GeometryPure mathematicsGroup (periodic table)CurvaturePhysicsComposite materialMaterials scienceLawPolitical scienceQuantum mechanicsPoliticsAdvanced Numerical Analysis TechniquesAlgebraic Geometry and Number TheoryComputer Graphics and Visualization Techniques
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