Representation of piecewise biharmonic surfaces using biquadratic B-splines

DOI10.1016/J.CAM.2015.05.025zbMath1321.65024OpenAlexW595954184MaRDI QIDQ492110

Jing Han, Xu-li Han

Publication date: 19 August 2015

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.2015.05.025

zbMATH Keywords

numerical examplesblock tridiagonal matrixnon-singularitypiecewise biharmonic biquadratic B-spline surface

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Generating bicubic B-spline surfaces by a sixth order PDE ⋮ Construction of triharmonic Bézier surfaces from boundary conditions ⋮ A new computational approach to the twists of bicubic Coons surfaces ⋮ Bicubic B-spline surfaces constrained by the biharmonic PDE

Cites Work

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• A third order partial differential equation for isotropic boundary based triangular Bézier surface generation
• Representing PDE surfaces in terms of B-splines
• Generating blend surfaces using partial differential equations
• Discrete Coons patches
• Quadratic trigonometric polynomial curves with a shape parameter
• Using partial differential equations to generate free-form surfaces
• On harmonic and biharmonic Bézier surfaces
• A general 4th-order PDE method to generate Bézier surfaces from the boundary
• Mathematics of Surfaces
• Geometric fairing of irregular meshes for free-form surface design

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