89702 20210902121658.0 doi 10.3390/math8040541 sideral 117839 ART-2020-117839 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 Geometric properties and algorithms for rational q-Bézier curves and surfaces 2020 Access copy available to the general public Unrestricted In this paper, properties and algorithms of q-Bézier curves and surfaces are analyzed. It is proven that the only q-Bézier and rational q-Bézier curves satisfying the boundary tangent property are the Bézier and rational Bézier curves, respectively. Evaluation algorithms formed by steps in barycentric form for rational q-Bézier curves and surfaces are provided. info:eu-repo/grantAgreement/ES/DGA-FEDER/E41-17R info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-096321-B-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.258 2020 MATHEMATICS 24 / 330 = 0.073 2020 Q1 T1 0.495 2020 Mathematics (miscellaneous) 2020 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peña, J.M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 8, 4 (2020), 541 [15 pp.] Mathematics (Basel) MATHEMATICS 2227-7390 320314 http://zaguan.unizar.es/record/89702/files/texto_completo.pdf Versión publicada 391128 http://zaguan.unizar.es/record/89702/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:89702 articulos driver 2021-09-02-09:12:00 ARTICLE