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Dergiler / Fundamental Journal of Mathematics and Applications / 2021 / Cilt: 4 Sayı: 4

Curve Couples of Bézier Curves in Euclidean 2-Space

Ayşe Yılmaz CEYLAN
Sayfa
245–250
Yayın Tarihi
2021-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, the curvatures of these curve couples are given.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The goal of this paper is to characterize the evolute, involute and parallel curves of a Bezier curve which is applicable to computer graphics and related subjects.
📊
Temel Bulgular & Veri:Especially, these curve couples are investigated at the endpoints.
💡
Sonuç & Katkı:Moreover, the curvatures of these curve couples are given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bézier curve · Evolute · Involute

Abstract

The goal of this paper is to characterize the evolute, involute and parallel curves of a Bezier curve which is applicable to computer graphics and related subjects. Especially, these curve couples are investigated at the endpoints. Moreover, the curvatures of these curve couples are given.

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Bu Makaleye Atıf Yap

CEYLAN, A. Y. (2021). Curve Couples of Bézier Curves in Euclidean 2-Space. Fundamental Journal of Mathematics and Applications, Cilt: 4 Sayı: 4, 245–250. https://ajindex.com/articles/905683

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Kaynakça (9)

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  2. Ş. Kılıçoğlu, S. Şenyurt, On the involute of the cubic Bezier curve by using matrix representation in E3, Eur. J. Pure Appl. Math., (13), 216-226, 2020
  3. Z. Duman, Involute-Evolute curve couples of Bezier curve, MSc. Thesis, Sakarya University, 2021
  4. D. Marsh, Applied Geometry for Computer Graphics and CAD, Springer, 2006
  5. A. Gray, E. Abbena, S. Salamon, Modern Differential Geometry of Curves and Surfaces with Mathematica, Chapman and Hall/CRC: Boca Raton, FL, USA, 2016
  6. B. O’Neill, Elementary Differential Geometry, Academic Press, Rev. 2nd.ed., Elsevier, USA, 2006
  7. J. W. Rutter, Geometry of Curves, Chapman & Hall/CRC, 2000
  8. M. Özdemir, Diferansiyel Geometri, Altın Nokta Basın Yayın, 2020
  9. E. Erkan, S. Yüce, Serret-Frenet frame and curvatures of Bezier curves, Mathematics, 6(12), 321, 1-20, 2018.