Geometric continuity of blending surfaces

In this paper, we study the C 1 G 2 continuity of surfaces by a shape-blending process. Furthermore, we study the continuity of the ruled surfaces constructed by linear interpolation between two pairs of C 1 G 2 continuous curves. We give some conditions for the C 1 G 2 continuity of composite surfaces in a shape-blending process. A practical approach is proposed to maintain the C 1 G 2 continuity of Bezier surfaces pairs in a shape-blending process by adjusting the control points along the common boundary of the resulting surface-pair. We finish by proving and justifying the efficiency of the approaching method with some graphical examples.