Problem
1. Determine the Bezier blending functions for five control points. Plot each function and label the maximum and minimum values.
2. Write an efficient routine to display two-dimensional, cubic Bezier curves, given a set of four control points in the xy plane.
3. Write a routine to design two-dimensional, cubic Bezier curve shapes that have first-order piecewise continuity. Use an interactive technique for selecting control-point positions in the xy plane for each section of the curve.