@misc{10481/78950,
year = {2022},
month = {9},
url = {https://hdl.handle.net/10481/78950},
abstract = {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.},
organization = {"Maria de Maeztu" Excellence Unit IMAG (University of Granada, Spain)	CEX2020-001105-MICIN/AEI/10.13039/501100011033},
organization = {University of Granada	
University of Granada/CBUA},
publisher = {Elsevier},
keywords = {Bernstein-Bézier representation},
keywords = {Cubic splines},
keywords = {Quasi-interpolation schemes},
keywords = {Subdivision rules},
title = {On C2 cubic quasi-interpolating splines and their computation by subdivision via blossoming},
doi = {10.1016/j.cam.2022.114834},
author = {Barrera Rosillo, Domingo and Eddargani, Salah},
}