Degenerate polynomial patches of degree 11 for almostGC 2 interpolation over triangles

We consider the problem of interpolating scattered data in ³ by analmost geometrically smoothGC² surface, where almostGC² meansGC² except in a finite number of points (the vertices), where the surface isGC¹. A local method is proposed, based on employing so-called degenerate triangular Bernstein-Bézier patches. We give an analysis of quintic patches forGC¹ and patches of degree eleven for almostGC² interpolation.