A Flexible $C^2$ Subdivision Scheme on the Sphere: With Application to Biomembrane Modelling

DOI10.1137/16M1076794zbMath1371.65017MaRDI QIDQ5349293

Sara Grundel, Jingmin Chen, Thomas P.-Y. Yu

Publication date: 24 August 2017

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

zbMATH Keywords

spherecurvaturesubdivision schemesparallel algorithmbiomembranesCanham-Helfrich-Evans models

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

An introduction to a hybrid trigonometric box spline surface producing subdivision scheme ⋮ Numerical methods for biomembranes: Conforming subdivision methods versus non-conforming PL methods

Uses Software

• Matlab
• CUDA

Cites Work

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• A unified approach to subdivision algorithms near extraordinary vertices
• Finite element modeling of lipid bilayer membranes
• Lens-shaped surfaces and \(C^{2}\) subdivision
• Degree estimates for \(C^k\)-piecewise polynomial subdivision surfaces
• Box splines
• Smoothness of stationary subdivision on irregular meshes
• Shape characterization of subdivision surfaces -- basic principles
• Subdivision surfaces
• Jet subdivision schemes on the \(k\)-regular complex
• Localized Tight Frames on Spheres
• Stationary subdivision
• A Method for Analysis ofC¹-Continuity of Subdivision Surfaces
• Noninterpolatory Hermite subdivision schemes
• A degree estimate for subdivision surfaces of higher regularity
• Riemannian geometry and geometric analysis

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