On C2 cubic quasi-interpolating splines and their computation by subdivision via blossoming Barrera Rosillo, Domingo Eddargani, Salah Bernstein-Bézier representation Cubic splines Quasi-interpolation schemes Subdivision rules We discuss the construction of C2 cubic spline quasi-interpolation schemes defined on a refined partition. These schemes are reduced in terms of degrees of freedom compared to those existing in the literature. Namely, we provide a rule for reducing them by imposing super-smoothing conditions while preserving full smoothness and cubic precision. In addition, we provide subdivision rules by means of blossoming. The derived rules are designed to express the B-spline coefficients associated with a finer partition from those associated with the former one. 2023-01-12T12:14:41Z 2023-01-12T12:14:41Z 2022-09-10 info:eu-repo/semantics/article D. Barrera, S. Eddargani, A. Lamnii, On C2 cubic quasi-interpolating splines and their computation by subdivision via blossoming, Journal of Computational and Applied Mathematics, Volume 420, 2023, 114834, ISSN 0377-0427, [https://doi.org/10.1016/j.cam.2022.114834] https://hdl.handle.net/10481/78950 10.1016/j.cam.2022.114834 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier