G/sup 2/ blend surfaces and filling of N-sided holes

An approach to obtaining curvature-continuous blends of any parametrically given surface is presented. The approach offers several options to control the shape of the blend through geometric continuity. It lets the designer define linkage curves arbitrarily as parametric curves in the respective parameter domains. Moreover, the proposed transfinite interpolant can be adopted to fill an n-sided polygonal hole by a single patch.<
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