Abstract
We consider the problem of interpolating scattered data in ℝ3 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.
Original language | Dutch |
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Pages (from-to) | 557-568 |
Number of pages | 12 |
Journal | Numerical algorithms |
Volume | 5 |
Issue number | 11 |
DOIs | |
Publication status | Published - 1993 |
Keywords
- Interpolation
- METIS-141636
- IR-85933
- degenerate patches
- Approximation by polynomials