Using this connection you can express cubic Hermite interpolation in terms of cubic Bézier curves with respect to the four values \boldsymbol{p}_0, \boldsymbol{p}_0 + \frac{1}{3} \boldsymbol{m}_0, \boldsymbol{p}_1 - \frac{1}{3} \boldsymbol{m}_1, \boldsymbol{p}_1 and do Hermite interpolation using the de Casteljau algorithm.
