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Aproximación de hélices mediante curvas polinomiales

 

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Opened Access Aproximación de hélices mediante curvas polinomiales
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Author: Collin Goth, Mónica
Director: Márquez García, María del Carmen
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2017-06
Document type: Final Degree Work
Academic Title: Universidad de Sevilla. Grado en Matemáticas
Abstract: In this work we study two different methods to approximate the helix by Bézier curves. The first one approximation is by cubic rational Bézier curves, simple and composite, and we analyze the error committed. The second one is by quadratic polynomial and rational Bézier curves. We also calculate the error bound with the Hausdorff distance between the helix and each approximate curve. Finally, we show both methods in some examples.
Size: 1.675Mb
Format: PDF

URI: http://hdl.handle.net/11441/63106

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

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