Abstract: This article uses generalized B-spline subdivision scheme of arbitrary order with a tension
parameter to blend several surfaces, which is suitable to blending both meshes with arbitrary sizes and
generalized B-spline control meshes. The shape of blending surfaces can be adjusted globally through
changing the order or the tension parameter. Shape parameters are also set during computing central
points and valley points. So users can adjust them to locally change the shape of blending section. In
addition, we apply the proposed blending method to blend quadrics. The blending results are apparently
better than those of existing methods.

Key words: surface blending, generalized B-spline subdivision, control meshes, quadrics