Explicit Bézier control net of a PDE surface
MetadataShow full item record
TitleExplicit Bézier control net of a PDE surface
The PDE under study here is a general fourth-order linear elliptic Partial Differential Equation. Having prescribed the boundary control points, we provide the explicit expression of the whole control net of the ... [+]
The PDE under study here is a general fourth-order linear elliptic Partial Differential Equation. Having prescribed the boundary control points, we provide the explicit expression of the whole control net of the associated PDE Bézier surface. In other words, we obtain the explicit expressions of the interior control points as linear combinations of free boundary control points. The set of scalar coefficients of these combinations works like a mould for PDE surfaces. Thus, once this mould has been computed for a given degree, real-time manipulation of the resulting surfaces becomes possible by modifying the prescribed information. [-]
© 2016 Elsevier Ltd. All rights reserved.
This item appears in the folowing collection(s)
- MAT_Articles 
Showing items related by title, author, creator and subject.
Stabilization of Nanoparticles Produced by Hydrogenation of Palladium–N-Heterocyclic Carbene Complexes on the Surface of Graphene and Implications in Catalysis Mollar Cuni, Andrés; Ventura Espinosa, David; Martín, Santiago; Mayoral, Álvaro; Borja, Pilar; Mata, Jose A. American Chemical Society (2018)
Arnal Pons, Ana M; Monterde, Juan Elsevier (2014-06)
Rubio Magnieto, Jenifer; Luis Lafuente, Santiago Vicente; Orlof, Monika; Korchowiec, Beata; Sautrey, Guillaume; Rogalska, Ewa Elsevier (2013-02-01)