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 belonging to 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.
Curve network interpolation by B-spline surfaces - Preprint su ArXiv
DAGNINO, Catterina;LAMBERTI, Paola;REMOGNA, Sara
2013-01-01
Abstract
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 belonging to 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.
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