Curve network interpolation by $C^1$ quadratic B-spline surfaces
| Autor: | Dagnino, Catterina, Lamberti, Paola, Remogna, Sara |
|---|---|
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Computer Aided Geometric Design 40, pp. 26-39, 2015 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.cagd.2015.09.003 |
| Popis: | In this paper we investigate the problem of interpolating a B-spline curve network, in order to create a surface satisfying such a constraint and defined by blending functions spanning the space of bivariate $C^1$ quadratic splines on criss-cross triangulations. We prove the existence and uniqueness of the surface, providing a constructive algorithm for its generation. We also present numerical and graphical results and comparisons with other methods. Comment: With respect to the previous version, this version of the paper is improved. The results have been reorganized and it is more general since it deals with non uniform knot partitions. Accepted for publication in Computer Aided Geometric Design, October 2015 |
| Databáze: | arXiv |
| Externí odkaz: |
|