On T-Spline Classification

DOI10.4208/jcm.2011-m2020-0150zbMath1499.65044OpenAlexW4211242958MaRDI QIDQ5079562

Liangwei Hong, Xin Li

Publication date: 27 May 2022

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.2011-m2020-0150

zbMATH Keywords

partition of unityisogeometric analysisT-splinesanalysis-suitable

Mathematics Subject Classification ID

Numerical computation using splines (65D07)

Cites Work

• Analysis-suitable T-splines are dual-compatible
• On linear independence of T-spline blending functions
• Local refinement of analysis-suitable T-splines
• Isogeometric analysis using T-splines
• On the instability in the dimension of splines spaces over T-meshes
• Approximation power of polynomial splines on \(T\)-meshes
• On the linear independence and partition of unity of arbitrary degree analysis-suitable T-splines
• On the dimension of spline spaces over T-meshes with smoothing cofactor-conformality method
• Bases and dimensions of bivariate hierarchical tensor-product splines
• Dimension of spline spaces with highest order smoothness over hierarchical \(T\)-meshes
• Local refinement for analysis-suitable++ T-splines
• AS++ T-splines: linear independence and approximation
• Dimensions of biquadratic and bicubic spline spaces over hierarchical T-meshes
• Dimensions of spline spaces over T-meshes
• ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES
• On the dimension of spline spaces on planar T-meshes
• Analysis-suitable T-splines: Characterization, refineability, and approximation

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