TY  - JOUR
TT  - On The Cubic Bezier Curves In E^3
AU  - Kılıçoğlu, Şeyda
AU  - Şenyurt, Süleyman
PY  - 2019
DA  - December
JF  - Ordu Üniversitesi Bilim ve Teknoloji Dergisi
JO  - Ordu Üniv. Bil. Tek. Derg.
PB  - Ordu University
WT  - DergiPark
SN  - 2146-6440
SP  - 83
EP  - 97
VL  - 9
IS  - 2
LA  - en
KW  - Bezier curve
KW  - cubic Bezier curve
N2  - In this study we have examined, the cubic Bezier curve based on thecontrol points with matrix form in E^3 . Frenet vector fields and also curvatures of the cubicBezier curve are examined in matrix form in E ^3. Also a simple way has been given to findthe control points of any cubic Bezier curve.
CR  - [1] Hagen H (2001). Bezier-curves with curvature and torsion continuity. Rocky MountainJ. Math. 16(3): 629–638. doi:10.1216/RMJ-1986-16-3-629.
CR  - [2] Hacisalihoğlu H H (1994). Diferensiyel Geometri. Ínönü Üniversitesi Yayınları. Malatya.
CR  - [3] Incesu M & Gürsoy O (2017). LS(2)-Equivalence conditions of control points andapplication to planar Bezier curves. New Trends in Mathematical Sciences. 3(5):70-84.
CR  - [4] Kusak S H, Celik S & Kaya S (2015). The Bishop Frame of Bezier Curves. Life ScienceJournal. 12(6).
CR  - [5] Michael S (2003). Bezier curves and surfaces. Lecture 8, Floater Oslo.
CR  - [6] Zhang H & Jieqing F. (2006) Bézier Curves and Surfaces (2). State Key Lab of CAD&CGZhejiang University.
CR  - [7] Derivatives of a Bézier Curve https://pages.mtu.edu/126shene/COURSES/ cs3621/NOTES/spline/Bezier/bezier-der.html
UR  - https://dergipark.org.tr/en/pub/ordubtd/article/625391
L1  - https://dergipark.org.tr/en/download/article-file/913278
ER  -