converting from a b-spline to a catmull rom spline

Hello all,

The Matrix formulation of a b-spline is given as:

Q(u) = [u(3), u(2), u, 1] * 1/6 * |-1 3 -3 1| * |V0|
                                                  |3 -6 3  0| * |V1|
                                                  |-3 0 3  0| * |V2|
                                                  |1  4 1  0| * |V3|

The formulation for the catmull rom spline is given by:

Q(u) = [u(3), u(2), u, 1] * 1/2 * |0 2   0  0| * |V0|
                                                  |-1 0 1  0| * |V1|
                                                  |2 -5 4 -1| * |V2|
                                                  |-1 3 3  1| * |V3|

Now, if I want to go from a b-spline representation to a catmull rom
representation and the vector G is the control points for the b-spline
curve, can I simply do;

inverse of (1/6 * |-1 3 -3 1| ) * |0 2   0  0|  * G
                                                |-1 0 1  0|
                                                |2 -5 4 -1|
                                                |-1 3 3  1|

Does this seem correct?

Thanks,
Luca
                           |3 -6 3  0|
                           |-3 0 3  0|
                           |1  4 1  0|