Araştırma Makalesi

Some Notes on Geometry of Bézier Curves in Euclidean 4-Space

Cilt: 5 Sayı: 3 31 Aralık 2020
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EN

Some Notes on Geometry of Bézier Curves in Euclidean 4-Space

Öz

The main purpose of this paper is to investigate Bézier curves in the Euclidean space $E^4$ with respect to differential geometry. For this purpose, the Serret-Frenet elements at every point, starting point and ending points are computed.

Anahtar Kelimeler

Kaynakça

  1. Forrest, A. R., “Curves and surfaces for computer-aided design”, University of Cambridge, United Kingdom, Cambridge, (1968).
  2. Anand, V. B., “Computer graphics and geometric modeling for engineers”, John Wiley and Sons Inc. (First Edition), New York, (1992).
  3. Farin, G., “Curves and surfaces for computer aided geometric design a practical guide”, Academic Press (Fourth Edition), San Diego, (1996).
  4. Marsh, D., “Applied geometry for computer graphics and CAD”, Springer-Verlag London Berlin Heidelberg (Second Edition), (2000).
  5. Kenmotsu, K. “Periodic mean curvature and Bézier curves. Differential geometry and related topics”, World Sci. Publ., River Edge, NJ, (2002) : 135-146.
  6. Georgiev, G. H. “On the shape of of the cubic Bézier curve. Pure and applied differential geometry—PADGE”, Ber. Math. Shaker Verlag, Aachen, (2007) : 98-106.
  7. Samanci, H. K., Celik, S., Incesu, M., “The Bishop Frame of Bezier Curves”, Life Science Journal, 12(6), (2015).
  8. Erkan, E., Yüce, S., “Serret-Frenet Frame and Curvatures of Bézier Curves”, Mathematics, 6(12), (2018) : 321-321.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Aralık 2020

Gönderilme Tarihi

2 Eylül 2020

Kabul Tarihi

22 Aralık 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Erkan, E., & Yüce, S. (2020). Some Notes on Geometry of Bézier Curves in Euclidean 4-Space. Journal of Engineering Technology and Applied Sciences, 5(3), 93-101. https://doi.org/10.30931/jetas.837921
AMA
1.Erkan E, Yüce S. Some Notes on Geometry of Bézier Curves in Euclidean 4-Space. Journal of Engineering Technology and Applied Sciences. 2020;5(3):93-101. doi:10.30931/jetas.837921
Chicago
Erkan, Esra, ve Salim Yüce. 2020. “Some Notes on Geometry of Bézier Curves in Euclidean 4-Space”. Journal of Engineering Technology and Applied Sciences 5 (3): 93-101. https://doi.org/10.30931/jetas.837921.
EndNote
Erkan E, Yüce S (01 Aralık 2020) Some Notes on Geometry of Bézier Curves in Euclidean 4-Space. Journal of Engineering Technology and Applied Sciences 5 3 93–101.
IEEE
[1]E. Erkan ve S. Yüce, “Some Notes on Geometry of Bézier Curves in Euclidean 4-Space”, Journal of Engineering Technology and Applied Sciences, c. 5, sy 3, ss. 93–101, Ara. 2020, doi: 10.30931/jetas.837921.
ISNAD
Erkan, Esra - Yüce, Salim. “Some Notes on Geometry of Bézier Curves in Euclidean 4-Space”. Journal of Engineering Technology and Applied Sciences 5/3 (01 Aralık 2020): 93-101. https://doi.org/10.30931/jetas.837921.
JAMA
1.Erkan E, Yüce S. Some Notes on Geometry of Bézier Curves in Euclidean 4-Space. Journal of Engineering Technology and Applied Sciences. 2020;5:93–101.
MLA
Erkan, Esra, ve Salim Yüce. “Some Notes on Geometry of Bézier Curves in Euclidean 4-Space”. Journal of Engineering Technology and Applied Sciences, c. 5, sy 3, Aralık 2020, ss. 93-101, doi:10.30931/jetas.837921.
Vancouver
1.Esra Erkan, Salim Yüce. Some Notes on Geometry of Bézier Curves in Euclidean 4-Space. Journal of Engineering Technology and Applied Sciences. 01 Aralık 2020;5(3):93-101. doi:10.30931/jetas.837921

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