Q. What is a Bezier Curve? What are blending function? Write an algorithm for generating Bezier Curves.

A curve which has the following properties is called Bezier Curve: 1. A curve section which can be filled to any no. of control points. 2. The no. of control points to be approximated and their relative position to determine the degree of the Bezier polynomial. 3. As with the interpolation splines, a Bezier Curve can be specified with boundary conditions, with a characterizing matrix, or with blending function. 4. Suppose we are given N+ 1 control point position: These coordinate points can be blending to produce the following position vector p(u), which describes the path of an approximation Bezier polynomial function between p₀ & p_n,