Characterization of bivariate hierarchical quartic box splines on a three-directional grid

DOI10.1016/j.cagd.2015.11.004zbMath1417.65071OpenAlexW2189957615MaRDI QIDQ1632395

Angelos Mantzaflaris, Bert Jüttler, Nelly Villamizar

Publication date: 14 December 2018

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

Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa32865

zbMATH Keywords

completenessadaptive refinementbox splineshierarchical splinesthree-directional gridtype-I triangulation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (2)

Adaptive isogeometric analysis with hierarchical box splines ⋮ Completeness characterization of type-I box splines

Uses Software

• ISOGAT
• na11

Cites Work

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• An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
• A hierarchical approach to adaptive local refinement in isogeometric analysis
• THB-splines: The truncated basis for hierarchical splines
• Strongly stable bases for adaptively refined multilevel spline spaces
• Quasi-hierarchical Powell-Sabin B-splines
• Approximation power of polynomial splines on \(T\)-meshes
• Quasi-interpolation projectors for box splines
• Fast and stable evaluation of box-splines via the BB-form
• Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains
• Spaces of bivariate cubic and quartic splines on type-1 triangulations
• Box splines
• Stable evaluation of box-splines
• Bases of T-meshes and the refinement of hierarchical B-splines
• Bases and dimensions of bivariate hierarchical tensor-product splines
• Dimensions of biquadratic and bicubic spline spaces over hierarchical T-meshes
• TDHB-splines: the truncated decoupled basis of hierarchical tensor-product splines
• Adaptively refined multilevel spline spaces from generating systems
• Numerical integration based on trivariate \(C ^{2}\) quartic spline quasi-interpolants
• Box splines revisited: Convergence and acceleration methods for the subdivision and the cascade algorithms
• Dimensions of spline spaces over T-meshes
• On the completeness of hierarchical tensor-product image-splines
• Spline Functions on Triangulations
• The Approximation Order of Box Spline Spaces

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