Construction of 2D Explicit Cubic Quasi-Interpolating Splines in Bernstein-Bézier Form

Author:

Barrera Domingo,Eddargani Salah,Ibáñez María José,Remogna Sara

Publisher

Springer Nature Singapore

Reference14 articles.

1. Buhmann, M., Jäger, J.: Quasi-Interpolation. Cambridge University Press (2022)

2. Lai, M.J., Schumaker, L.L.: Spline Functions on Triangulations. Cambridge University Press (2007)

3. Sorokina, T., Zeilfelder, F.: An explicit quasi-interpolation scheme based on $$C^{1}$$ quartic splines on type-1 triangulations. Comput. Aided Geom. Des. 25, 1–13 (2008)

4. Sorokina, T., Zeilfelder, F.: Optimal quasi-interpolation by quadratic $$C^1$$ splines on four-directional meshes. In: Chui, C., et al. (Eds.), Approximation Theory, vol. XI, pp. 423–438. Gatlinburg, Nashboro Press, Brentwood, TN (2004)

5. Barrera, D., Dagnino, C., Ibáñez, M.J., Remogna, S.: Some results on cubic and quartic quasi-interpolation of optimal approximation order on type-1 triangulations. Rend. Semin. Mat. Univ. Politec. Torino 76(2), 29–38 (2018)

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