The paper studies the interpolation of mesh curves by a G(1) smooth su
rface of rectangular Bezier patches. Two methods are presented, using
(a) Bezier patches of degree 6 x 6, and (b) Bezier patches of degree 4
x 4. In the first case, the twists are decoupled, and the algorithm i
s local. In the second case, the patches are of lower degree, but the
algorithm is global. In both cases, the algorithms are stable.