Minimal quasi-Bézier surface

DOI10.1016/j.apm.2012.01.040zbMath1349.65074OpenAlexW2052607455MaRDI QIDQ345428

Ren-Hong Wang, Yong-Xia Hao, Chong-Jun Li

Publication date: 2 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.01.040

zbMATH Keywords

minimal surfaceDirichlet functionalharmonic surfacequasi-Bézier surface

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Construction of Bézier Surfaces from Prescribed Boundary ⋮ Variational minimization on string-rearrangement surfaces, illustrated by an analysis of the bilinear interpolation ⋮ Explicit form of parametric polynomial minimal surfaces with arbitrary degree ⋮ Construction of Bézier surfaces with energy-minimizing diagonal curves from given boundary ⋮ Variationally improved Bézier surfaces with shifted knots ⋮ Characterizations of a helicoid and a catenoid

Cites Work

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• Extending and correcting some research results on minimal and harmonic surfaces
• High order numerical approximation of minimal surfaces
• An algorithm for evolutionary surfaces
• A class of Bézier-like curves
• Bézier surfaces of minimal area: the Dirichlet approach
• On harmonic and biharmonic Bézier surfaces
• Concerning my paper on the boundary behavior of minimal surfaces
• A general 4th-order PDE method to generate Bézier surfaces from the boundary
• Discrete constant mean curvature surfaces and their index
• Mathematics of Surfaces

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