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C-1-Cubic Quasi-Interpolation Splines over a CT Refinement of a Type-1 Triangulation
dc.contributor.author | Benharzallah, Haithem | |
dc.contributor.author | Barrera Rosillo, Domingo | |
dc.date.accessioned | 2023-02-09T09:57:01Z | |
dc.date.available | 2023-02-09T09:57:01Z | |
dc.date.issued | 2022-12-23 | |
dc.identifier.citation | Benharzallah, H.; Mennouni, A.; Barrera, D. C1-Cubic Quasi-Interpolating Splines in the Bernstein Basis over a Clough–Tocher Refinement of a Type-1 Triangulation. Mathematics 2023, 11, 59. [https://doi.org/10.3390/math11010059] | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/79783 | |
dc.description.abstract | C1 continuous quasi-interpolating splines are constructed over Clough–Tocher refinement of a type-1 triangulation. Their Bernstein–Bézier coefficients are directly defined from the known values of the function to be approximated, so that a set of appropriate basis functions is not required. The resulting quasi-interpolation operators reproduce cubic polynomials. Some numerical tests are given in order to show the performance of the approximation scheme. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Bernstein–Bézier coefficients | es_ES |
dc.subject | Quasi-interpolation | es_ES |
dc.subject | Type-1 triangulation | es_ES |
dc.subject | Clough–Tocher split | es_ES |
dc.title | C-1-Cubic Quasi-Interpolation Splines over a CT Refinement of a Type-1 Triangulation | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.3390/math11010059 | |
dc.type.hasVersion | VoR | es_ES |