000097447 001__ 97447 000097447 005__ 20210902121901.0 000097447 0247_ $$2doi$$a10.3390/math8122219 000097447 0248_ $$2sideral$$a121689 000097447 037__ $$aART-2020-121689 000097447 041__ $$aeng 000097447 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado Gracia, J.$$uUniversidad de Zaragoza 000097447 245__ $$aCompensated evaluation of tensor product surfaces in CAGD 000097447 260__ $$c2020 000097447 5060_ $$aAccess copy available to the general public$$fUnrestricted 000097447 5203_ $$aIn computer-aided geometric design, a polynomial surface is usually represented in Bézier form. The usual form of evaluating such a surface is by using an extension of the de Casteljau algorithm. Using error-free transformations, a compensated version of this algorithm is presented, which improves the usual algorithm in terms of accuracy. A forward error analysis illustrating this fact is developed. 000097447 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón$$9info:eu-repo/grantAgreement/ES/DGA-FEDER/E41-17R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 000097447 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000097447 590__ $$a2.258$$b2020 000097447 591__ $$aMATHEMATICS$$b24 / 330 = 0.073$$c2020$$dQ1$$eT1 000097447 592__ $$a0.495$$b2020 000097447 593__ $$aMathematics (miscellaneous)$$c2020$$dQ2 000097447 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000097447 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000097447 773__ $$g8, 12 (2020), 2219 [1-12]$$pMathematics (Basel)$$tMATHEMATICS$$x2227-7390 000097447 8564_ $$s238156$$uhttps://zaguan.unizar.es/record/97447/files/texto_completo.pdf$$yVersión publicada 000097447 8564_ $$s414461$$uhttps://zaguan.unizar.es/record/97447/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000097447 909CO $$ooai:zaguan.unizar.es:97447$$particulos$$pdriver 000097447 951__ $$a2021-09-02-10:35:46 000097447 980__ $$aARTICLE