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Dergiler / Konuralp Journal of Mathematics / 2021 / Volume: 9 Issue: 2

On Pedal and Contrapedal Curves of Bézier Curves

Ayşe Yılmaz Ceylan(AKDENIZ UNIVERSITY)
Merve Kara(AKDENIZ UNIVERSITY)
Sayfa
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Yayın Tarihi
2021-10-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, the pedal and contrapedal curve of a planar Bézier curve at the starting and the ending points are investigated.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Moreover, the pedal and contrapedal curve of a planar Bézier curve at the starting and the ending points are investigated.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bezier curve · Contrapedal curve · Pedal curve

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.

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Bu Makaleye Atıf Yap

Ceylan, A. Y., Kara, M. (2021). On Pedal and Contrapedal Curves of Bézier Curves. Konuralp Journal of Mathematics, Volume: 9 Issue: 2. https://ajindex.com/articles/1521586

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Kaynakça (7)

  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.