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arXiv · 1312.5533

Curve network interpolation by $C^1$ quadratic B-spline surfaces

Catterina Dagnino·Paola Lamberti·Sara Remogna
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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 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.

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Catterina Dagnino, Paola Lamberti, Sara Remogna. 2015-10-27. Curve network interpolation by $C^1$ quadratic B-spline surfaces. https://doi.org/10.1016/j.cagd.2015.09.003

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