On the Bertrand Mate of Cubic Bezier Curve by Using Matrix Representation in $\mathbf{E}^{3}$

Author:

KILIÇOGLU Şeyda1,ŞENYURT Süleyman2ORCID

Affiliation:

1. BASKENT UNIVERSITY

2. ORDU ÜNİVERSİTESİ

Abstract

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

Publisher

Turkish Journal of Mathematics and Computer Science, Association of Mathematicians

Subject

General Medicine

Reference12 articles.

1. Levent, A., & Sahin, B. (2018). Cubic bezier-like transition curves with new basis function. Proc. of the Ins. of Maths. and Mechanics, National Academy of Sciences of Azerbaijan, 44(2), 222-228.

2. "Derivatives of a B\'{e}zier Curve" https://pages.mtu.edu/~shene/COURSES/cs3621/NOTES/spline/Bezier/bezier-der.html

3. D. Marsh, Applied Geometry for Computer Graphics and CAD. Springer Science and Business Media., 2006.

4. F. Tas and K. Ilarslan, A new approach to design the ruled surface. International Journal of Geometric Methods in Modern Physics., 16(6), (2019).

5. G. Farin, Curves and Surfaces for Computer-Aided Geometric Design. Academic Press, 1996.

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