A third order partial differential equation for isotropic boundary based triangular Bézier surface generation

DOI10.1016/j.cam.2011.06.017zbMath1231.65032OpenAlexW2002647564WikidataQ115359843 ScholiaQ115359843MaRDI QIDQ645701

Juan-Miguel Gracia

Publication date: 10 November 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.06.017

zbMATH Keywords

partial differential equationexplicit solutionisotropycontrol pointsPDE surfacetriangular Bézier surfacesBézier triangle

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Computer-aided design (modeling of curves and surfaces) (65D17) Polynomial solutions to PDEs (35C11)

Related Items (6)

Explicit Bézier control net of a PDE surface ⋮ An equivalent parameter geometric shape representation using independent coordinates of cubic Bézier control points ⋮ Representation of piecewise biharmonic surfaces using biquadratic B-splines ⋮ Hermite interpolation by triangular cubic patches with small Willmore energy ⋮ Bicubic B-spline surfaces constrained by the biharmonic PDE ⋮ A complete Frobenius type method for linear partial differential equations of third order

Cites Work

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• PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces
• Explicit polynomial solutions of fourth order linear elliptic partial differential equations for boundary based smooth surface generation
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• On the existence of biharmonic tensor-product Bézier surface patches
• A general 4th-order PDE method to generate Bézier surfaces from the boundary
• Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers
• Computational Science and Its Applications – ICCSA 2004

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