The area of the B\'{e}zier polygonal region of the B\'{e}zierCurve and derivatives in E$^{3}$

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 .