Quasi-interpolation for analysis-suitable T-splines

DOI10.1016/j.cagd.2022.102147zbMath1501.65007OpenAlexW4294917381WikidataQ114202247 ScholiaQ114202247MaRDI QIDQ2082611

Xin Li, Hongmei Kang, Zhiguo Yong

Publication date: 4 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2022.102147

zbMATH Keywords

quasi-interpolationanalysis-suitable T-splinesMarsden's identityquasi-interpolants

Mathematics Subject Classification ID

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

Cites Work

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• A survey on the local refinable splines
• Analysis-suitable T-splines are dual-compatible
• Local refinement of analysis-suitable T-splines
• Quasi-interpolation for surface reconstruction from scattered data with radial basis function
• THB-splines: The truncated basis for hierarchical splines
• Strongly stable bases for adaptively refined multilevel spline spaces
• Cubic spline quasi-interpolants on powell-sabin partitions
• Quasi-interpolation in isogeometric analysis based on generalized B-splines
• Quasi-hierarchical Powell-Sabin B-splines
• Isogeometric analysis using T-splines
• Three recipes for quasi-interpolation with cubic Powell-Sabin splines
• On the linear independence and partition of unity of arbitrary degree analysis-suitable T-splines
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Quadratic spline quasi-interpolants on Powell-Sabin partitions
• Effortless quasi-interpolation in hierarchical spaces
• Quasi-interpolation projectors for box splines
• A multivariate analog of Marsden's identity and a quasi-interpolation scheme
• Local spline approximation methods
• Marsden's identity
• Algebraic hyperbolic spline quasi-interpolants and applications
• Quasi-interpolation by \(C^1\) quartic splines on type-1 triangulations
• Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
• Spline approximation by quasiinterpolants
• Polynomial splines over locally refined box-partitions
• Local refinement for analysis-suitable++ T-splines
• S-splines: a simple surface solution for IGA and CAD
• Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM
• Local (T)HB-spline projectors via restricted hierarchical spline fitting
• Adaptive refinement with locally linearly independent LR B-splines: theory and applications
• Truncated T-splines: fundamentals and methods
• A family of smooth quasi-interpolants defined over Powell-Sabin triangulations
• Hierarchical spline spaces: quasi-interpolants and local approximation estimates
• Modified T-splines
• Weighted T-splines with application in reparameterizing trimmed NURBS surfaces
• ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES
• Spline Functions on Triangulations
• Isogeometric Analysis
• Mathematical analysis of variational isogeometric methods
• Non-uniform quasi-interpolation for solving Hammerstein integral equations
• An Efficient Method for Fitting Large Data Sets Using T-Splines
• Analysis-suitable T-splines: Characterization, refineability, and approximation

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