000131033 001__ 131033
000131033 005__ 20241125101158.0
000131033 0247_ $$2doi$$a10.1016/j.cagd.2023.102243
000131033 0248_ $$2sideral$$a136645
000131033 037__ $$aART-2023-136645
000131033 041__ $$aeng
000131033 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado, J.$$uUniversidad de Zaragoza
000131033 245__ $$aOn the accuracy of de Casteljau-type algorithms and Bernstein representations
000131033 260__ $$c2023
000131033 5060_ $$aAccess copy available to the general public$$fUnrestricted
000131033 5203_ $$aThis 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.
000131033 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000131033 590__ $$a1.3$$b2023
000131033 592__ $$a0.602$$b2023
000131033 591__ $$aMATHEMATICS, APPLIED$$b124 / 332 = 0.373$$c2023$$dQ2$$eT2
000131033 593__ $$aAerospace Engineering$$c2023$$dQ2
000131033 591__ $$aCOMPUTER SCIENCE, SOFTWARE ENGINEERING$$b92 / 132 = 0.697$$c2023$$dQ3$$eT3
000131033 593__ $$aModeling and Simulation$$c2023$$dQ2
000131033 593__ $$aComputer Graphics and Computer-Aided Design$$c2023$$dQ2
000131033 593__ $$aAutomotive Engineering$$c2023$$dQ2
000131033 594__ $$a3.5$$b2023
000131033 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000131033 700__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza
000131033 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J.M.$$uUniversidad de Zaragoza
000131033 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000131033 773__ $$g106 (2023), 102243 [14 pp.]$$pComput. aided geom. des.$$tComputer Aided Geometric Design$$x0167-8396
000131033 8564_ $$s437503$$uhttps://zaguan.unizar.es/record/131033/files/texto_completo.pdf$$yVersión publicada
000131033 8564_ $$s1836692$$uhttps://zaguan.unizar.es/record/131033/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000131033 909CO $$ooai:zaguan.unizar.es:131033$$particulos$$pdriver
000131033 951__ $$a2024-11-22-12:10:08
000131033 980__ $$aARTICLE