PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces

DOI10.1016/j.cam.2010.07.020zbMath1215.65032OpenAlexW2059732884MaRDI QIDQ609196

Sumit K. Garg

Publication date: 30 November 2010

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.2010.07.020

zbMATH Keywords

Laplacian operatorharmonic surfaceBézier surfacetriangular Bézier surfacebi-Laplacian operatorbiharmonic surfaceisotropic surfacePDE surfacerectangular Bézier surface

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (9)

Construction of Bézier Surfaces from Prescribed Boundary ⋮ Explicit Bézier control net of a PDE surface ⋮ Construction of triharmonic Bézier surfaces from boundary conditions ⋮ PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces ⋮ A third order partial differential equation for isotropic boundary based triangular Bézier surface generation ⋮ Representation of piecewise biharmonic surfaces using biquadratic B-splines ⋮ Bicubic B-spline surfaces constrained by the biharmonic PDE ⋮ Variationally improved Bézier surfaces with shifted knots ⋮ A new method to solve the triangular Plateau-Bézier problem

Cites Work

• PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces
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• On the existence of biharmonic tensor-product Bézier surface patches
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• Mathematics of Surfaces
• Mathematics of Surfaces
• Computational Science and Its Applications – ICCSA 2004
• Mathematics of Surfaces XI
• Geometric fairing of irregular meshes for free-form surface design
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