Variational minimization on string-rearrangement surfaces, illustrated by an analysis of the bilinear interpolation

DOI10.1016/j.amc.2014.01.172zbMath1334.65039arXiv1205.3216OpenAlexW2004039334MaRDI QIDQ272543

Bilal Masud, Daud Ahmad

Publication date: 20 April 2016

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

Full work available at URL: https://arxiv.org/abs/1205.3216

zbMATH Keywords

minimal surfacesbilinear interpolationcoons patchstring-rearrangementvariational improvement

Mathematics Subject Classification ID

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

Related Items (5)

Construction of Bézier surfaces with energy-minimizing diagonal curves from given boundary ⋮ A coons patch spanning a finite number of curves tested for variationally minimizing its area ⋮ An application of variational minimization: quasi-harmonic coons patches ⋮ Near-stability of a quasi-minimal surface indicated through a tested curvature algorithm ⋮ Variationally improved Bézier surfaces with shifted knots

Cites Work

• Minimal quasi-Bézier surface
• A coons patch spanning a finite number of curves tested for variationally minimizing its area
• Quintic parametric polynomial minimal surfaces and their properties
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• Discrete Coons patches
• Designing approximation minimal parametric surfaces with geodesics
• Bézier surfaces of minimal area: the Dirichlet approach
• On harmonic and biharmonic Bézier surfaces
• A proof of the regularity everywhere of the classical solution to Plateau's problem
• Regularity of minimizing surfaces of prescribed mean curvature
• A general 4th-order PDE method to generate Bézier surfaces from the boundary
• The existence of minimal surfaces of general critical types
• The Plateau problem for non-relative minima
• The problem of Plateau on a Riemannian manifold
• THE HIGHER-DIMENSIONAL PLATEAU PROBLEM ON A RIEMANNIAN MANIFOLD
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Variational minimization on string-rearrangement surfaces, illustrated by an analysis of the bilinear interpolation