Extending and correcting some research results on minimal and harmonic surfaces

DOI10.1016/j.cagd.2011.07.003zbMath1246.65036OpenAlexW2020676013MaRDI QIDQ426190

Hua-Jing-Ling Wu, Guo-Jin Wang

Publication date: 11 June 2012

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2011.07.003

zbMATH Keywords

minimal surfaceenergy functionharmonic surfaceBézier surfaceminimum value

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Minimal surfaces and optimization (49Q05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Generating harmonic surfaces for interactive design ⋮ Minimal quasi-Bézier surface ⋮ Transition to canonical principal parameters on minimal surfaces ⋮ Explicit Bézier control net of a PDE surface

Cites Work

• Unnamed Item
• Two \(C^{1}\)-methods to generate Bézier surfaces from the boundary
• Bézier surfaces of minimal area: the Dirichlet approach
• On harmonic and biharmonic Bézier surfaces
• 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
• Mathematics of Surfaces

This page was built for publication: Extending and correcting some research results on minimal and harmonic surfaces