doi:10.3390/math8040541engDelgado, JorgePeña, J.M.Geometric properties and algorithms for rational q-Bézier curves and surfacesART-2020-117839In 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.2020http://zaguan.unizar.es/record/8970210.3390/math8040541http://zaguan.unizar.es/record/89702oai:zaguan.unizar.es:89702info:eu-repo/grantAgreement/ES/DGA-FEDER/E41-17Rinfo:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-096321-B-I00MATHEMATICS 8, 4 (2020), 541 [15 pp.]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess