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Evaluation of Curves and Surfaces by Methods Based on Differential Equations and CAGD

Evaluation of Curves and Surfaces by Methods Based on Differential Equations and CAGD

Year:    2021

Author:    Jorge Delgado, Juan Manuel Peña

International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 1 : pp. 1–18

Abstract

For the evaluation of free-form polynomial and trigonometric curves and surfaces, several Taylor methods and two new methods (DP and DT) motivated by Computer Aided Geometric Design (CAGD) have been considered. Their accuracy and computational costs are compared through numerical examples. In the polynomial case they are also compared with the most used evaluation algorithms.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2021-IJNAM-18618

International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 1 : pp. 1–18

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Free-form curves and surfaces evaluation Taylor method polynomials trigonometric polynomials.

Author Details

Jorge Delgado

Juan Manuel Peña