An examination on to find 5th Order B´ezier Curve in E^3

Yıl 2021, Sayı: 37, 35 - 44, 31.12.2021

Şeyda Kılıçoglu , Süleyman Şenyurt

https://doi.org/10.53570/jnt.1020089

Cited By: 4

Öz

In this study, we have examined how to find any 5th order Bézier curve with its known first, second and third derivatives, which are the 4th order, the cubic and the quadratic Bézier curves, respectively, based on the control points of given the derivatives. Also we give an example to find the 5th order Bézier curve with the given derivatives.

Anahtar Kelimeler

Bézier curves, derivatives of Bézier curve, cubic Bézier curves

Proje Numarası

yok

Kaynakça

• H. Hagen, Bézier-Curves with Curvature and Torsion Continuity, The Rocky Mountain Journal of Mathematics 16(3) (1986) 629-638.
• F. Taş, K. Ilarslan, A New Approach to Design the Ruled Surface, International Journal of Geometric Methods in Modern Physics 16(6) (2019).
• G. Farin, Curves and Surfaces for Computer-Aided Geometric Design, Academic Press, 1996.
• Ş. Kılıçoğlu, S. Şenyurt, On the Cubic Bézier Curves in E3, Ordu University Journal of Science and Technology 9(2) (2019) 83-97.
• Ş. Kılıçoğlu, S. Şenyurt, On the Involute of the Cubic Bézier Curve by Using Matrix Representation in E3, European Journal of Pure and Applied Mathematics 13 (2020) 216-226.
• Ş. Kılıçoğlu, S. Şenyurt, On the Matrix Representation of 5th order Bézier Curve and derivatives, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistic (2021) In press.
• Ş. Kılıçoğlu, S. Şenyurt, On the Matrix Representation of Bézier Curves and Derivatives in E3, Sigma Journal of Engineering and Natural Sciences (2021) In press.
• Ş. Kılıçoğlu, S. Şenyurt, On the Bertrand Mate of a Cubic Bézier Curve by Using Matrix Representation in E3, 18th International Geometry Symposium in Honour of Prof. Dr. Sadık Keleş, Malatya, Turkey, 2021, pp. 129.
• Ş. Kılıçoğlu, S. Şenyurt, On the Mannheim Partner of a Cubic Bézier Curve in E3, 10th International Eurasian Conference on Mathematical and Applications, Sakarya, Turkey, 2021, pp. 154.
• M. Incesu, S. Y. Evren, The Selection of Control Points for Two Open Non Uniform B-Spline Curves to Form Bertrand Pairs, Tblisi Journal of Mathematics, Special Issue 8 (2021) 195-208.
• H. K. Samanci, M. Incesu, Investigating a Quadratic Bézier Curve Due to NCW and N-Bishop Frames, Turkish Journal of Mathematics and Computer Science 12(2) (2020) 120-127.