Conversion of B-rep CAD models into globally \(G^1\) triangular splines

DOI10.1016/j.cagd.2020.101832zbMath1505.65062OpenAlexW3010950185MaRDI QIDQ1986131

Jiří Kosinka, Gerben Jan Hettinga

Publication date: 7 April 2020

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2020.101832

zbMATH Keywords

Bézier triangleCAD modelClough-Tocher splineShirman-Séquin spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Blending Bézier patch for multi-sided surface modeling ⋮ Multi-sided completion of \(C^2\) bi-3 and \(C^1\) bi-2 splines: a unifying approach ⋮ Quadratic splines on quad-tri meshes: construction and an application to simulations on watertight reconstructions of trimmed surfaces

Cites Work

• Unnamed Item
• Nonnegativity preserving macro-element interpolation of scattered data
• Local surface interpolation with Bézier patches
• Local surface interpolation with Bézier patches: Errata and improvements
• Watertight conversion of trimmed CAD surfaces to Clough-Tocher splines
• Isogeometric analysis with Bézier tetrahedra
• A line/trimmed NURBS surface intersection algorithm using matrix representations
• Converting a CAD model into a non-uniform subdivision surface
• Conversion of trimmed NURBS surfaces to Catmull-Clark subdivision surfaces
• Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements
• 3D NURBS-enhanced finite element method (NEFEM)
• A construction for visualC1 continuity of polynomial surface patches
• Isogeometric Analysis

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