KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 14 Issue: 1

Frenet Frames of Trigonometric B'ezier Curves

Ayşe Yılmaz Ceylan(AKDENİZ ÜNİVERSİTESİ)0000-0001-7635-0830
Tunahan Turhan(SÜLEYMAN DEMİREL ÜNİVERSİTESİ)0000-0002-9632-2180
Gözde Özkan Tükel(ISPARTA UYGULAMALI BİLİMLER ÜNİVERSİTESİ, ISPARTA MESLEK YÜKSEKOKULU)0000-0003-1800-5718
Sayfa
—
Yayın Tarihi
2022-06-30
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Especially, the curvatures of these curves are investigated at the beginning and the ending points.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The geometry of curves and surfaces plays a very important role in computer-aided geometric design (CAGD).
📊
Temel Bulgular & Veri:The goal of this paper is to construct the Frenet frames of trigonometric B\'ezier curves in Euclidean $ 2 $ and $ 3- $space.
💡
Sonuç & Katkı:Especially, the curvatures of these curves are investigated at the beginning and the ending points.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Computer aided geometric design (CAGD) · curvature · Frenet frame field

Abstract

The geometry of curves and surfaces plays a very important role in computer-aided geometric design (CAGD). The goal of this paper is to construct the Frenet frames of trigonometric B\'ezier curves in Euclidean $ 2 $ and $ 3- $space. Especially, the curvatures of these curves are investigated at the beginning and the ending points.

🔖

Bu Makaleye Atıf Yap

Ceylan, A. Y., Turhan, T., Tükel, G. Ö. (2022). Frenet Frames of Trigonometric B'ezier Curves. Turkish Journal of Mathematics and Computer Science, Volume: 14 Issue: 1. https://doi.org/10.47000/tjmcs.1015220

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. Ammad, M., Misro, M.Y., Construction of local shape adjustable surfaces using quintic trigonometric B\'ezier curve, Symmetry, 12(2020), 1205.
  2. Bashir, U., Abas, M., Awang, M., Ali, J., The quadratic trigonometric B\'ezier curve with single shape parameter, J. Basic Appl. Sci. Res., 2(2012), 2541-2546.
  3. Dube, M., Sharma, R., Quartic trignometric B\'ezier curve with a shape parameter, Int. J. Math. Comput. Appl. Res., 3(2013), 89-96.
  4. Gray, A., Abbena, E., Salamon, S., Modern Differential Geometry of Curves and Surfaces with Mathematica, Chapman and Hall/CRC: Boca Raton, FL, USA, 2016.
  5. Han, X.A., Ma, Y.C., Huang, X.L., The cubic trigonometric B\'ezier curve with two shape parameters, Applied Mathematics Letters, 22(2009), 226-231.
  6. Han, X.A., Huang, X.L., Ma, Y.C., Shape analysis of cubic trigonometric B\'ezier curves with a shape parameter, Appl. Math. Comput., 217(2010), 2527-2533.
  7. Misro, M., Ramli, A., Ali, J., Quintic trigonometric B\'ezier curve with two shape parameters, Sains Malaysiana, 46(2017), 825-831.
  8. O'Neill, B., Elemantary Differential Geometry, Academic Press, Rev. 2nd.ed., Elsevier, USA, 2006.
  9. Sharma, R., Quartic trigonometric B\'ezier curves and surfaces with shape parameter, Int. J. Innov. Res. Comput. Commun. Eng., 3297(2016), 7712–7717.
  10. Sun, X., Ji, X., Parametric model for kitchen product based on cubic T-Bézier curves with symmetry, Symmetry, 12(2020), 505.