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Sur les carreaux de Bézier rationnels de degré 2. Partie 1

Paul-Louis George 1 Houman Borouchaki 1
1 Gamma3 - Automatic mesh generation and advanced methods
Inria Paris-Rocquencourt, ICD - Institut Charles Delaunay
Abstract : Following our previous reports related to classical Lagrange finite elements of degree 2, we consider the case of rational Bézier patches not as a method to define a surface (and then a mapping from $\R^2$ to $\R^3$) but as the support of a calculus (therefore a mapping from $\R^2$ to $\R^2$). In this usage, the jacobian of the mapping must be positive and this is the point discussed in this report for both a quad patch and a hex patch. Part 2 discusses the case of triangular and tet patches.
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Submitted on : Tuesday, January 15, 2013 - 11:13:19 AM
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Paul-Louis George, Houman Borouchaki. Sur les carreaux de Bézier rationnels de degré 2. Partie 1. [Rapport de recherche] RR-8201, INRIA. 2013, pp.51. ⟨hal-00776189⟩

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