Research Article

On Pedal and Contrapedal Curves of Bézier Curves

Volume: 9 Number: 2 October 15, 2021
EN

On Pedal and Contrapedal Curves of Bézier Curves

Abstract

The aim of this paper is to charaterize pedal and contrapedal curves of a Bézier curve which has many applications in computer graphics and related areas. Moreover, the pedal and contrapedal curve of a planar Bézier curve at the starting and the ending points are investigated.

Keywords

References

  1. 1) Do Carmo, M. P., \textit{Differential Geometry of Curves and Surfaces}, Prentice-Hall, Englewood Cliffs, NJ, 1976.
  2. 2) Erkan, E. and Yüce, S., Serret-Frenet Frame and Curvatures of Bézier Curves, Mathematics, Vol:6, No.12 (2018), 321, 1-20.
  3. 3) Gray, A., Abbena, E. and Salamon, S., \textit{Modern Differential Geometry of Curves and Surfaces with Mathematica}, Chapman and Hall/CRC: Boca Raton, FL, USA, 2016.
  4. 4) Li Y, Pei D. Pedal curves of frontals in the Euclidean plane, Math. Meth. Appl. Sci., 41, (2018), 1988–1997.
  5. 5) Marsh, D., \textit{Applied geometry for computer graphics and CAD}, Springer, 2006.
  6. 6) O'Neill, B., \textit{Elemantary Differential Geometry}, Academic Oress, Rev. 2nd.ed., Elsevier, USA, 2006.
  7. 7) Tuncer OO, Ceyhan H, Gök İ, Ekmekci FN. Notes on pedal and contrapedal curves of fronts in the Euclidean plane, Math. Meth. Appl. Sci., 41, (2018), 5096–5111.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Merve Kara This is me
Türkiye

Publication Date

October 15, 2021

Submission Date

August 20, 2021

Acceptance Date

September 16, 2021

Published in Issue

Year 2021 Volume: 9 Number: 2

APA
Ceylan, A. Y., & Kara, M. (2021). On Pedal and Contrapedal Curves of Bézier Curves. Konuralp Journal of Mathematics, 9(2), 217-221. https://izlik.org/JA99WM63EJ
AMA
1.Ceylan AY, Kara M. On Pedal and Contrapedal Curves of Bézier Curves. Konuralp J. Math. 2021;9(2):217-221. https://izlik.org/JA99WM63EJ
Chicago
Ceylan, Ayşe Yılmaz, and Merve Kara. 2021. “On Pedal and Contrapedal Curves of Bézier Curves”. Konuralp Journal of Mathematics 9 (2): 217-21. https://izlik.org/JA99WM63EJ.
EndNote
Ceylan AY, Kara M (October 1, 2021) On Pedal and Contrapedal Curves of Bézier Curves. Konuralp Journal of Mathematics 9 2 217–221.
IEEE
[1]A. Y. Ceylan and M. Kara, “On Pedal and Contrapedal Curves of Bézier Curves”, Konuralp J. Math., vol. 9, no. 2, pp. 217–221, Oct. 2021, [Online]. Available: https://izlik.org/JA99WM63EJ
ISNAD
Ceylan, Ayşe Yılmaz - Kara, Merve. “On Pedal and Contrapedal Curves of Bézier Curves”. Konuralp Journal of Mathematics 9/2 (October 1, 2021): 217-221. https://izlik.org/JA99WM63EJ.
JAMA
1.Ceylan AY, Kara M. On Pedal and Contrapedal Curves of Bézier Curves. Konuralp J. Math. 2021;9:217–221.
MLA
Ceylan, Ayşe Yılmaz, and Merve Kara. “On Pedal and Contrapedal Curves of Bézier Curves”. Konuralp Journal of Mathematics, vol. 9, no. 2, Oct. 2021, pp. 217-21, https://izlik.org/JA99WM63EJ.
Vancouver
1.Ayşe Yılmaz Ceylan, Merve Kara. On Pedal and Contrapedal Curves of Bézier Curves. Konuralp J. Math. [Internet]. 2021 Oct. 1;9(2):217-21. Available from: https://izlik.org/JA99WM63EJ
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