Explicit form of parametric polynomial minimal surfaces with arbitrary degree

DOI10.1016/J.AMC.2015.02.065zbMath1390.68734OpenAlexW1971613760MaRDI QIDQ1635565

Yaguang Zhu, Gang Xu, Li Zhang, Kin-chuen Hui, Guo-zhao Wang, Andre Galligo

Publication date: 7 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.065

zbMATH Keywords

minimal surfaceEnneper surfaceconjugate minimal surfaceparametric polynomial minimal surface

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Optimization of shapes other than minimal surfaces (49Q10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Construction of Bézier Surfaces from Prescribed Boundary ⋮ A new method to construct polynomial minimal surfaces ⋮ Classification of polynomial minimal surfaces ⋮ The \(C^1\) and \(C^2\) quasi-Plateau problems ⋮ Triply periodic minimal surface using a modified Allen-Cahn equation ⋮ Visualization of Enneper’s surface by line graphics

Cites Work

• Minimal quasi-Bézier surface
• \(G^{2}\) surface modeling using minimal mean-curvature-variation flow
• Quintic parametric polynomial minimal surfaces and their properties
• Classification of doubly-periodic minimal surfaces of genus zero
• Designing approximation minimal parametric surfaces with geodesics
• Bézier surfaces of minimal area: the Dirichlet approach
• Concerning my paper on the boundary behavior of minimal surfaces

This page was built for publication: Explicit form of parametric polynomial minimal surfaces with arbitrary degree