Opened Access Geometría global de curvas planas
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Author: García Cano, Daniel
Director: Carriazo Rubio, Alfonso
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 can clearly distinguish two parts. Firstly, we study and prove some classical theorems about the Global Theory of plane curves, namely the Isoperimetric Inequality, the Four-Vertex Theorem and the CauchyCrofton Formula. Secondly, we focus on Bézier plane curves. We establish some global properties for them and we introduce a new method, inspired by the Isoperimetric Inequality, to produce the approximation of a circular arc by a Bézier curve. We include several interesting examples.
Cite: García Cano, D. (2017). Geometría global de curvas planas. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla.
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