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Volume 18, Issue 1
Evaluation of Curves and Surfaces by Methods Based on Differential Equations and CAGD

Jorge Delgado & Juan Manuel Peña

Int. J. Numer. Anal. Mod., 18 (2021), pp. 1-18.

Published online: 2021-02

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  • 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-18-1, author = {Delgado , Jorge and Manuel Peña , Juan}, title = {Evaluation of Curves and Surfaces by Methods Based on Differential Equations and CAGD}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2021}, volume = {18}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/18618.html} }
TY - JOUR T1 - Evaluation of Curves and Surfaces by Methods Based on Differential Equations and CAGD AU - Delgado , Jorge AU - Manuel Peña , Juan JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 1 EP - 18 PY - 2021 DA - 2021/02 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/18618.html KW - Free-form curves and surfaces, evaluation, Taylor method, polynomials, trigonometric polynomials. AB -

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.

Delgado , Jorge and Manuel Peña , Juan. (2021). Evaluation of Curves and Surfaces by Methods Based on Differential Equations and CAGD. International Journal of Numerical Analysis and Modeling. 18 (1). 1-18. doi:
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