SavedAdd your journal

Journals / 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)
Pages
—
Publication Date
2021-10-15
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:Moreover, the pedal and contrapedal curve of a planar Bézier curve at the starting and the ending points are investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

🔖

Cite This Article

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

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (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.