Abstract: For the two given cylinders whose axes are non-coplanar and the two planes that are perpendicular to the corresponding axes, we presented the sufficient and necessary condition for the existence of the cubic GC ¹ blending surface. When the distance between the two axes is zero, that is, the axes intersect each other, the condition is coincident with the condition for the existence of the cubic GC¹ blending surface of the two cylinders whose axes are coplanar.

Key words: noncoplanar cylinders, blending surfaces, geometric continuity