how to prepare piecewise cubic hermite curve passing through 5 number of points where tangent at first and last point is [ 0 0 0]

P= U*M*B;

where U= [u.^3 u.^2 u u.^0]

M=[2 -2 1 1;-3 3 -2 -1 ;0 0 1 0;1 0 0 0]; %co-efficient of blending functions B= geometrix co-eff