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On Pedal and Contrapedal Curves of Bézier Curves

Yıl 2021, Cilt: 9 Sayı: 2, 217 - 221, 15.10.2021

Öz

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.

Kaynakça

  • 1) Do Carmo, M. P., \textit{Differential Geometry of Curves and Surfaces}, Prentice-Hall, Englewood Cliffs, NJ, 1976.
  • 2) Erkan, E. and Yüce, S., Serret-Frenet Frame and Curvatures of Bézier Curves, Mathematics, Vol:6, No.12 (2018), 321, 1-20.
  • 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) Li Y, Pei D. Pedal curves of frontals in the Euclidean plane, Math. Meth. Appl. Sci., 41, (2018), 1988–1997.
  • 5) Marsh, D., \textit{Applied geometry for computer graphics and CAD}, Springer, 2006.
  • 6) O'Neill, B., \textit{Elemantary Differential Geometry}, Academic Oress, Rev. 2nd.ed., Elsevier, USA, 2006.
  • 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.
Yıl 2021, Cilt: 9 Sayı: 2, 217 - 221, 15.10.2021

Öz

Kaynakça

  • 1) Do Carmo, M. P., \textit{Differential Geometry of Curves and Surfaces}, Prentice-Hall, Englewood Cliffs, NJ, 1976.
  • 2) Erkan, E. and Yüce, S., Serret-Frenet Frame and Curvatures of Bézier Curves, Mathematics, Vol:6, No.12 (2018), 321, 1-20.
  • 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) Li Y, Pei D. Pedal curves of frontals in the Euclidean plane, Math. Meth. Appl. Sci., 41, (2018), 1988–1997.
  • 5) Marsh, D., \textit{Applied geometry for computer graphics and CAD}, Springer, 2006.
  • 6) O'Neill, B., \textit{Elemantary Differential Geometry}, Academic Oress, Rev. 2nd.ed., Elsevier, USA, 2006.
  • 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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Ayşe Yılmaz Ceylan

Merve Kara Bu kişi benim

Yayımlanma Tarihi 15 Ekim 2021
Gönderilme Tarihi 20 Ağustos 2021
Kabul Tarihi 16 Eylül 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 9 Sayı: 2

Kaynak Göster

APA Ceylan, A. Y., & Kara, M. (2021). On Pedal and Contrapedal Curves of Bézier Curves. Konuralp Journal of Mathematics, 9(2), 217-221.
AMA Ceylan AY, Kara M. On Pedal and Contrapedal Curves of Bézier Curves. Konuralp J. Math. Ekim 2021;9(2):217-221.
Chicago Ceylan, Ayşe Yılmaz, ve Merve Kara. “On Pedal and Contrapedal Curves of Bézier Curves”. Konuralp Journal of Mathematics 9, sy. 2 (Ekim 2021): 217-21.
EndNote Ceylan AY, Kara M (01 Ekim 2021) On Pedal and Contrapedal Curves of Bézier Curves. Konuralp Journal of Mathematics 9 2 217–221.
IEEE A. Y. Ceylan ve M. Kara, “On Pedal and Contrapedal Curves of Bézier Curves”, Konuralp J. Math., c. 9, sy. 2, ss. 217–221, 2021.
ISNAD Ceylan, Ayşe Yılmaz - Kara, Merve. “On Pedal and Contrapedal Curves of Bézier Curves”. Konuralp Journal of Mathematics 9/2 (Ekim 2021), 217-221.
JAMA Ceylan AY, Kara M. On Pedal and Contrapedal Curves of Bézier Curves. Konuralp J. Math. 2021;9:217–221.
MLA Ceylan, Ayşe Yılmaz ve Merve Kara. “On Pedal and Contrapedal Curves of Bézier Curves”. Konuralp Journal of Mathematics, c. 9, sy. 2, 2021, ss. 217-21.
Vancouver Ceylan AY, Kara M. On Pedal and Contrapedal Curves of Bézier Curves. Konuralp J. Math. 2021;9(2):217-21.
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