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
- Forrest, A. R., “Curves and surfaces for computer-aided design”, University of Cambridge, United Kingdom, Cambridge, (1968).
- Anand, V. B., “Computer graphics and geometric modeling for engineers”, John Wiley and Sons Inc. (First Edition), New York, (1992).
- Farin, G., “Curves and surfaces for computer aided geometric design a practical guide”, Academic Press (Fourth Edition), San Diego, (1996).
- Marsh, D., “Applied geometry for computer graphics and CAD”, Springer-Verlag London Berlin Heidelberg (Second Edition), (2000).
- Kenmotsu, K. “Periodic mean curvature and Bézier curves. Differential geometry and related topics”, World Sci. Publ., River Edge, NJ, (2002) : 135-146.
- 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.
- Samanci, H. K., Celik, S., Incesu, M., “The Bishop Frame of Bezier Curves”, Life Science Journal, 12(6), (2015).
- 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
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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