EN
An examination on to find 5th Order B´ezier Curve in E^3
Abstract
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.
Keywords
Supporting Institution
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Project Number
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Thanks
Dergi yönetimine ve bu makaleyi değerlendirecek hakemlere şimdiden teşekkür ederiz.
References
- 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.
Details
Primary Language
English
Subjects
Mathematical Sciences, Applied Mathematics
Journal Section
Research Article
Publication Date
December 31, 2021
Submission Date
November 6, 2021
Acceptance Date
December 21, 2021
Published in Issue
Year 2021 Number: 37
APA
Kılıçoglu, Ş., & Şenyurt, S. (2021). An examination on to find 5th Order B´ezier Curve in E^3. Journal of New Theory, 37, 35-44. https://doi.org/10.53570/jnt.1020089
AMA
1.Kılıçoglu Ş, Şenyurt S. An examination on to find 5th Order B´ezier Curve in E^3. JNT. 2021;(37):35-44. doi:10.53570/jnt.1020089
Chicago
Kılıçoglu, Şeyda, and Süleyman Şenyurt. 2021. “An Examination on to Find 5th Order B´ezier Curve in E^3”. Journal of New Theory, nos. 37: 35-44. https://doi.org/10.53570/jnt.1020089.
EndNote
Kılıçoglu Ş, Şenyurt S (December 1, 2021) An examination on to find 5th Order B´ezier Curve in E^3. Journal of New Theory 37 35–44.
IEEE
[1]Ş. Kılıçoglu and S. Şenyurt, “An examination on to find 5th Order B´ezier Curve in E^3”, JNT, no. 37, pp. 35–44, Dec. 2021, doi: 10.53570/jnt.1020089.
ISNAD
Kılıçoglu, Şeyda - Şenyurt, Süleyman. “An Examination on to Find 5th Order B´ezier Curve in E^3”. Journal of New Theory. 37 (December 1, 2021): 35-44. https://doi.org/10.53570/jnt.1020089.
JAMA
1.Kılıçoglu Ş, Şenyurt S. An examination on to find 5th Order B´ezier Curve in E^3. JNT. 2021;:35–44.
MLA
Kılıçoglu, Şeyda, and Süleyman Şenyurt. “An Examination on to Find 5th Order B´ezier Curve in E^3”. Journal of New Theory, no. 37, Dec. 2021, pp. 35-44, doi:10.53570/jnt.1020089.
Vancouver
1.Şeyda Kılıçoglu, Süleyman Şenyurt. An examination on to find 5th Order B´ezier Curve in E^3. JNT. 2021 Dec. 1;(37):35-44. doi:10.53570/jnt.1020089
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