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

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 1). Hereafter, Part 2 discusses the case of triangular and tet patches.
Document type :
Reports
Complete list of metadata

Cited literature [4 references]

https://hal.inria.fr/hal-00776196
Contributor : Paul-Louis George Connect in order to contact the contributor
Submitted on : Tuesday, January 15, 2013 - 11:16:50 AM
Last modification on : Sunday, June 26, 2022 - 4:49:52 AM
Long-term archiving on: : Tuesday, April 16, 2013 - 3:54:02 AM

### File

RR-8202.pdf
Files produced by the author(s)

### Identifiers

• HAL Id : hal-00776196, version 1

### Citation

Paul-Louis George, Houman Borouchaki. Sur les carreaux de Bézier rationnels de degré 2. Partie 2. [Rapport de recherche] RR-8202, INRIA. 2013, pp.22. ⟨hal-00776196⟩

Record views