PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces
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comunitat-uji-handle3:10234/8635
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http://dx.doi.org/10.1016/j.cam.2010.07.020 |
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Títol
PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfacesData de publicació
2011Editor
ElsevierISSN
3770427Cita bibliogràfica
Journal of Computational and Applied Mathematics, 235, 5, p. 1098-1113Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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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