Combining this optical flow equation with Hermite interpolation for the motion trajectory of each sample results in a unique third-order polynomial that matches both the function values I(k) and ?I(k)/?x, ?I(k)/?y derivatives at the ends. The value of this polynomial at t=0 is the BIO prediction: preBIO=?·(I(0)+I(1)+vX/2·(τ1?I(1)/?x?τ0?I(0)/?x)+vy/2·(τ1?I(1)/?y?τ0?I(0)/?y)).??Eq. (3)