I will really appreciate if someone can explain me the relation between Hermite interpolation and Bezier Curve. For example, $p(0)=1,p(3)=2,p'(0)=1,p'(3)=1$, how do we do the Hermite interpolation? And from the Hermite interpolation how should we draw the Bezier polygon(control polygon) and the Bezier curves?And how should we apply Casteljau algorithm to evaluate the Bezier curve at $u=1,u=2$?
Overall, I really want to know the relation between Bezier curve and Hermite interpolation.
Really hope you can help me. Thanks!