PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces
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comunitat-uji-handle2:10234/7037
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http://dx.doi.org/10.1016/j.cam.2010.07.020 |
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Title
PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfacesDate
2011Publisher
ElsevierISSN
3770427Bibliographic citation
Journal of Computational and Applied Mathematics, 235, 5, p. 1098-1113Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionSubject
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 ... [+]
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. [-]
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