Quasi-Interpolation in a Space of C2 Sextic Splines over Powell–Sabin Triangulations

Autor: Salah Eddargani, María José Ibáñez, Abdellah Lamnii, Mohamed Lamnii, Domingo Barrera

Publikováno v: Mathematics, Vol 9, Iss 18, p 2276 (2021)

In this work, we study quasi-interpolation in a space of sextic splines defined over Powell–Sabin triangulations. These spline functions are of class C2 on the whole domain but fourth-order regularity is required at vertices and C3 regularity is im

Externí odkaz: https://doaj.org/article/6709c00c0c694e7cac1741124b4f45eb

A novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation

Autor: Salah Eddargani, D. Barrera, A. Lamnii

We define a family of univariate many knot spline spaces of arbitrary degree defined on an initial partition that is refined by adding a point in each sub-interval. For an arbitrary smoothness r , splines of degrees 2 r and 2 r + 1 are considered by

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b9130dc8e477124c8c576f0069d6917
https://hdl.handle.net/2318/1880940

A geometric characterization of Powell-Sabin triangulations allowing the construction of C-2 quartic splines

Autor: D. Barrera, M. J. Ibáñez, Abdelleh Lamnii, Salah Eddargani

Publikováno v: Digibug. Repositorio Institucional de la Universidad de Granada
instname

The authors wish to thank the anonymous referees for their very pertinent and useful comments which helped them to improve the original manuscript. The first and third authors are members of the research group FQM 191 Matem?tica Aplicada funded by th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70f83b33309c6021fbcc95e1f23442f2
http://hdl.handle.net/10481/71243

Quasi-Interpolation in a Space of C2 Sextic Splines over Powell–Sabin Triangulations

Autor: D. Barrera, Salah Eddargani, M. J. Ibáñez, M. Lamnii, A. Lamnii

Publikováno v: Digibug. Repositorio Institucional de la Universidad de Granada
instname
Mathematics
Volume 9
Issue 18
Mathematics, Vol 9, Iss 2276, p 2276 (2021)

In this work, we study quasi-interpolation in a space of sextic splines defined over Powell– Sabin triangulations. These spline functions are of class C 2 on the whole domain but fourth-order regularity is required at vertices and C 3 regularity is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3cae5c819405b003d6a4a91520426b6
https://doi.org/10.3390/math9182276

Algebraic hyperbolic spline quasi-interpolants and applications

Autor: Abdelleh Lamnii, Driss Sbibih, Ahmed Zidna, M. Lamnii, Salah Eddargani

Publikováno v: Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics, Elsevier, 2019, 347, pp.196-209. ⟨10.1016/j.cam.2018.08.018⟩

In this paper, a construction of Marsden’s identity for UAH B-splines (i.e. Uniform Algebraic Hyperbolic B-splines) is developed and a clear proof is given. With the help of this identity, quasi-interpolant schemes that produce the space of algebra

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85a765d133ecdddd9937a917c7205a0a
https://hal.archives-ouvertes.fr/hal-02973991