Smoothly Blending of Cylinders Whose Axes are Non-Coplanar Based on Smoothly Blended Axes

This study focuses on the smoothly blending problem of two cylinders whose axes are non-coplanar at the clipping planes which are perpendicular to the axes. Based on the condition that the axes were smoothly blended, we presented the necessary and sufficient conditions of the existence of the blending surface with the cylindrical helicoids tube constructed. And when those conditions were met, we presented the specific blending examples.

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