PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces

dc.contributor.author	Arnal, A.
dc.contributor.author	Lluch, Ana
dc.contributor.author	Monterde, Juan
dc.date.accessioned	2012-10-22T11:18:18Z
dc.date.available	2012-10-22T11:18:18Z
dc.date.issued	2011
dc.identifier	http://dx.doi.org/10.1016/j.cam.2010.07.020
dc.identifier.citation	Journal of Computational and Applied Mathematics, 235, 5, p. 1098-1113
dc.identifier.issn	3770427
dc.identifier.uri	http://hdl.handle.net/10234/49537
dc.description.abstract	We approach surface design by solving second-order and fourth-order Partial Differential Equations (PDEs). We present many methods for designing triangular Bézier PDE surfaces given different sets of prescribed control points and including the special cases of harmonic and biharmonic surfaces. Moreover, we introduce and study a second-order and a fourth-order symmetric operator to overcome the anisotropy drawback of the harmonic and biharmonic operators over triangular Bézier surfaces. © 2010 Elsevier B.V. All rights reserved.
dc.language.iso	eng
dc.publisher	Elsevier
dc.rights.uri	http://rightsstatements.org/vocab/CNE/1.0/	*
dc.subject	Bézier surface
dc.subject	Bi-Laplacian operator
dc.subject	Isotropy
dc.subject	Laplacian operator
dc.subject	PDE surface
dc.title	PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces
dc.type	info:eu-repo/semantics/article
dc.identifier.doi	http://dx.doi.org/10.1016/j.cam.2010.07.020
dc.rights.accessRights	info:eu-repo/semantics/restrictedAccess
dc.type.version	info:eu-repo/semantics/publishedVersion

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