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Geometrical Design: Bézier Curves and Surfaces

Ionut Danaila (), Pascal Joly, Sidi Mahmoud Kaber and Marie Postel
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Ionut Danaila: Université de Rouen Normandie, CNRS, Laboratoire de mathématiques Raphaël Salem
Pascal Joly: Laboratoire Jacques-Louis Lions
Sidi Mahmoud Kaber: Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions
Marie Postel: Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions

Chapter Chapter 11 in An Introduction to Scientific Computing, 2023, pp 247-267 from Springer

Abstract: Abstract Many fields in the computational science area need descriptions of complex objects: virtual reality, computational graphics, geometric modeling, and computer-aided geometric design (CAGD). These descriptions are commonly obtained using basic elements: points, curves, surfaces, and volumes. Elementary tools used to handle these elements are mathematical functions, such as polynomials and rational functions, which allow easy graphical representation in many situations: union of objects, intersection, and complement. This chapter gives an introduction to geometrical design by studying some properties of the so-called Bézier curves and surfaces.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-35032-0_11

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DOI: 10.1007/978-3-031-35032-0_11

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