PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces |
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Authors: | A. Arnal A. Lluch J. Monterde |
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Affiliation: | Dep. de Matemàtiques, Universitat Jaume I, Castelló, Spain Dep. de Geometria i Topologia, Universitat de València, Burjassot (València), Spain |
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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. |
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Keywords: | Laplacian operator Bi-Laplacian operator Isotropy PDE surface Bé zier surface |
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