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On C2 cubic quasi-interpolating splines and their computation by subdivision via blossoming

dc.contributor.authorBarrera Rosillo, Domingo 
dc.contributor.authorEddargani, Salah
dc.date.accessioned2023-01-12T12:14:41Z
dc.date.available2023-01-12T12:14:41Z
dc.date.issued2022-09-10
dc.identifier.citationD. 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]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/78950
dc.description.abstractWe 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.es_ES
dc.description.sponsorship"Maria de Maeztu" Excellence Unit IMAG (University of Granada, Spain) CEX2020-001105-MICIN/AEI/10.13039/501100011033es_ES
dc.description.sponsorshipUniversity of Granada University of Granada/CBUAes_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBernstein-Bézier representationes_ES
dc.subjectCubic splineses_ES
dc.subjectQuasi-interpolation schemeses_ES
dc.subjectSubdivision ruleses_ES
dc.titleOn C2 cubic quasi-interpolating splines and their computation by subdivision via blossominges_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/j.cam.2022.114834
dc.type.hasVersionVoRes_ES


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