Compensated Evaluation of Tensor Product Surfaces in CAGD

Jorge Delgado Gracia
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Jorge Delgado Gracia: Departamento de Matemática Aplicada, Universidad de Zaragoza, 44003 Teruel, Spain

Mathematics, 2020, vol. 8, issue 12, 1-12

Abstract: 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.

Keywords: Bernstein basis; polynomial algorithms; tensor product surfaces; error analysis; error-free transformations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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