An unrefinement algorithm for planar THB-spline parameterizations

DOI10.1016/j.cagd.2022.102157zbMath1504.65029OpenAlexW4302362911MaRDI QIDQ2100031

Bert Jüttler, Annalisa Buffa, Teymur Heydarov

Publication date: 21 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2022.102157

zbMATH Keywords

isogeometric analysisdomain parameterizationunrefinementTHB-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Uses Software

• ISOGAT

Cites Work

• A hierarchical approach to adaptive local refinement in isogeometric analysis
• THB-splines: The truncated basis for hierarchical splines
• Isogeometric spline forests
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Planar domain parameterization with THB-splines
• Adaptive fitting with THB-splines: error analysis and industrial applications
• Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
• Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
• Polynomial splines over locally refined box-partitions
• Suitably graded THB-spline refinement and coarsening: towards an adaptive isogeometric analysis of additive manufacturing processes
• Local (T)HB-spline projectors via restricted hierarchical spline fitting
• Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth
• Projection and transfer operators in adaptive isogeometric analysis with hierarchical B-splines
• Mathematical analysis of variational isogeometric methods
• Analysis-aware defeaturing: Problem setting and a posteriori estimation