N THE MATRIX REPRESENTATION OF 5 th ORDER BEZIER ´ CURVE AND ITS DERIVATIVES IN E3

Abstract

Using the matrix representation form, the first, second, third, fourth, and fifth derivatives of 5th order B´ezier curves are examined based on the control points in E3 . In addition to this, each derivative of 5th order B´ezier curves is given by their control points. Further, a simple way has been given to find the control points of a B´ezier curves and its derivatives by using matrix notations. An example has also been provided and the corresponding figures which are drawn by Geogebra v5 have been presented in the end.