The area of the Bézier polygonal region of the Bézier Curve and derivatives in $E^{3}$

Süleyman ŞENYURT; Seyda  KILICOGLU

doi:10.26637/mjm1101/008

Abstract

In the paper, we have first defined the area of the Bézier polygonal region which contains the $n^{th}$ order Bézier Curve and its first, second and third derivatives based on the control points of $n^{th}$ order Bézier curve in $E^{3}$. Further, the area of the Bézier polygonal region containing the $5^{th}$ order Bézier curve and the corresponding derivatives is examined based on the control points of $5^{th}$ order Bézier Curve in $E^{3}$.

Keywords:

Bézier polygon, 5th order Bézier Curve

Mathematics Subject Classification:

53A04, 53A05

Authors Imprint References Funding Related Articles Downloads

Süleyman ŞENYURT Faculty of Science, Department of Mathematics, Ordu University, Ordu, Turkey.
Seyda KILICOGLU Faculty of Science, Department of Mathematics, Ba\c{s}kent University, Ankara, Turkey.

Pages: 107-116
Date Published: 01-01-2023
Vol. 11 No. 01 (2023): Malaya Journal of Matematik (MJM)

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