Abstract
We consider the problem of interpolating scattered data in ℝ3 by analmost geometrically smoothGC 2 surface, where almostGC 2 meansGC 2 except in a finite number of points (the vertices), where the surface isGC 1. A local method is proposed, based on employing so-called degenerate triangular Bernstein-Bézier patches. We give an analysis of quintic patches forGC 1 and patches of degree eleven for almostGC 2 interpolation.
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