On the Matrix Representation of Bezier Curves and Derivatives in E3

Abstract

In this study we have examined, the coefficient matrix of a cubic, 4th order and nth order Bezier curves using combinations as the elements to get a pattern. Also their first, second, third derivativies are examined based on the control points, in matrix represation in E3. Further as a simple way has been given to find the equation of a Bezier curves and its derivatives using matrix product, based on the control points.