In this paper we present two different methods for filling in a hole in an explicit 3D surface, defined by a smooth function f in a part of a polygonal domain D ⊂ R 2 . We obtain the final reconstructed surface over the whole domain D. We do the filling in two different ways: discontinuous and conti
Minimal energy surfaces on Powell–Sabin type triangulations
✍ Scribed by D. Barrera; M.A. Fortes; P. González; M. Pasadas
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 945 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0168-9274
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📜 SIMILAR VOLUMES
In this paper we present a method to obtain for noisy data, a C r -surface, for any r 1, on a polygonal domain which approximates a Lagrangian data set and minimizes a quadratic functional that contains some terms associated with Sobolev semi-norms weighted by some smoothing parameters. The minimiza
A bivariate C 1 cubic super spline is constructed on Powell-Sabin type-1 split with the additional smoothness at vertices in the original triangulation being C 2 , which permits the Hermite interpolation up to the second order partial derivatives exactly on all the vertices in the original triangula