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Sur les carreaux B-spline ou NURBS de degré 2

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 and rational Bézier patches of degree 2, we discuss the B-spline and NURBS patch not as a method to define a surface (and then a mapping from R2 to R3) but as the support of a calculus (therefore a mapping from R2 to R2). In this usage, the jacobian of the mapping must be positive and this is the point discussed.
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https://hal.inria.fr/hal-01009703
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Submitted on : Wednesday, June 18, 2014 - 2:55:23 PM
Last modification on : Monday, September 16, 2019 - 4:35:40 PM
Long-term archiving on: : Thursday, September 18, 2014 - 11:05:45 AM

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Paul-Louis George, Houman Borouchaki. Sur les carreaux B-spline ou NURBS de degré 2. [Rapport de recherche] RR-8550, INRIA. 2014, pp.59. ⟨hal-01009703⟩

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