The quad layout immersion: a mathematically equivalent representation of a surface quadrilateral layout

DOI10.1016/j.cma.2023.116445arXiv2012.09368OpenAlexW3113366157MaRDI QIDQ6147069

Thomas J. R. Hughes, Kendrick M. Shepherd, R. R. Hiemstra

Publication date: 15 January 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09368

zbMATH Keywords

surface reconstructioncomputer-aided designisogeometric analysisquadrilateral meshglobal parameterization

Mathematics Subject Classification ID

Numerical analysis (65-XX) Computer science (68-XX)

Cites Work

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• The geometry of Euclidean surfaces with conical singularities
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Genus of the intersection curve of two rational surface patches
• Three-dimensional orbifolds and cone-manifolds
• Quadrilateral mesh generation. I: Metric based method
• Quadrilateral mesh generation. II: Meromorphic quartic differentials and Abel-Jacobi condition
• Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization
• Quadrilateral mesh generation. III: Optimizing singularity configuration based on Abel-Jacobi theory
• Feature-aware reconstruction of trimmed splines using Ricci flow with metric optimization
• Integrable PolyVector fields
• Bijective parameterization with free boundaries
• QuadCover ‐ Surface Parameterization using Branched Coverings
• Implicit representation of parametric curves and surfaces
• Are Bilinear Quadrilaterals Better Than Linear Triangles?
• An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg--Landau Theory
• Globally optimal direction fields
• Integer-grid maps for reliable quad meshing
• A Theorem on Holonomy