130207 20241125101147.0 doi 10.1016/j.cam.2023.115184 sideral 132947 ART-2023-132947 eng Delgado, J. Universidad de Zaragoza (orcid)0000-0003-2156-9856 An evaluation algorithm for q-Bézier triangular patches formed by convex combinations 2023 Access copy available to the general public Unrestricted An extension to triangular domains of the univariate q-Bernstein basis functions is introduced and analysed. Some recurrence relations and properties such as partition of unity and degree elevation are proved for them. It is also proved that they form a basis for the space of polynomials of total degree less than or equal to n on a triangle. In addition, it is presented a de Casteljau type evaluation algorithm whose steps are all linear convex combinations. info:eu-repo/grantAgreement/ES/DGA/E41-20R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.1 2023 MATHEMATICS, APPLIED 53 / 332 = 0.16 2023 Q1 T1 0.858 2023 Computational Mathematics 2023 Q2 Applied Mathematics 2023 Q2 5.4 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Orera, H. Universidad de Zaragoza (orcid)0000-0002-4794-5875 Peña, J.M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 428 (2023), 115184 [11 pp.] J. comput. appl. math. Journal of Computational and Applied Mathematics 0377-0427 1776792 http://zaguan.unizar.es/record/130207/files/texto_completo.pdf Versión publicada info:eu-repo/date/embargoEnd/2024-02-28 2041581 http://zaguan.unizar.es/record/130207/files/texto_completo.jpg?subformat=icon icon Versión publicada info:eu-repo/date/embargoEnd/2024-02-28 oai:zaguan.unizar.es:130207 articulos driver 2024-11-22-12:05:05 ARTICLE