Resumen: In 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. Idioma: Inglés DOI: 10.3390/math8122219 Año: 2020 Publicado en: MATHEMATICS 8, 12 (2020), 2219 [1-12] ISSN: 2227-7390 Factor impacto JCR: 2.258 (2020) Categ. JCR: MATHEMATICS rank: 24 / 330 = 0.073 (2020) - Q1 - T1 Factor impacto SCIMAGO: 0.495 - Mathematics (miscellaneous) (Q2)