131033 20241125101158.0 doi 10.1016/j.cagd.2023.102243 sideral 136645 ART-2023-136645 eng Delgado, J. Universidad de Zaragoza (orcid)0000-0003-2156-9856 On the accuracy of de Casteljau-type algorithms and Bernstein representations 2023 Access copy available to the general public Unrestricted This paper summarizes interesting results on systematic backward and forward error analyses performed for corner cutting algorithms providing evaluation of univariate and multivariate functions defined in terms of Bernstein and Bernstein related bases. Relevant results on the conditioning of the bases are also recalled. Finally, the paper surveys important advances, lately obtained, for the design of algorithms adapted to the structure of totally positive matrices, allowing the resolution of interpolation and approximation problems with Bernstein-type bases achieving computations to high relative accuracy. info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.3 2023 MATHEMATICS, APPLIED 124 / 332 = 0.373 2023 Q2 T2 COMPUTER SCIENCE, SOFTWARE ENGINEERING 92 / 132 = 0.697 2023 Q3 T3 0.602 2023 Aerospace Engineering 2023 Q2 Modeling and Simulation 2023 Q2 Computer Graphics and Computer-Aided Design 2023 Q2 Automotive Engineering 2023 Q2 3.5 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mainar, E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 Peña, J.M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 106 (2023), 102243 [14 pp.] Comput. aided geom. des. Computer Aided Geometric Design 0167-8396 437503 http://zaguan.unizar.es/record/131033/files/texto_completo.pdf Versión publicada 1836692 http://zaguan.unizar.es/record/131033/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:131033 articulos driver 2024-11-22-12:10:08 ARTICLE