Linear Interpolation

• - Simplest solution: linear interpolation between each sample pairs \((p_i,p_{i+1})\)

• - \(\forall t\in[t_i,t_{i+1}]\,,\;\; \left\{\begin{array}{l} p(t)=(1-\alpha(t))\,p_i+\alpha(t)\,p_{i+1} \\ \displaystyle \alpha(t)=\frac{t-t_i}{t_{i+1}-t_i} \end{array} \right. \)