THB-splines multi-patch parameterization for multiply-connected planar domains via template segmentation
From MaRDI portal
Publication:1713121
DOI10.1016/j.cam.2018.08.011OpenAlexW2888604384WikidataQ129359407 ScholiaQ129359407MaRDI QIDQ1713121
Antonella Falini, Bert Jüttler
Publication date: 24 January 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.08.011
Numerical computation using splines (65D07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical quadrature and cubature formulas (65D32) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (12)
\(h\)-refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis ⋮ Constructing planar domain parameterization with HB-splines via quasi-conformal mapping ⋮ An approach to construct a three-dimensional isogeometric model from \(\mu\)-CT scan data with an application to the bridge of a violin ⋮ On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration ⋮ SMART 2017. Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in Italy ⋮ Efficient matrix assembly in isogeometric analysis with hierarchical B-splines ⋮ An IGA framework for PDE-based planar parameterization on convex multipatch domains ⋮ Numerical solution for Schrödinger eigenvalue problem using isogeometric analysis on implicit domains ⋮ Solving higher order PDEs with isogeometric analysis on implicit domains using weighted extended THB-splines ⋮ The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications ⋮ Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights ⋮ Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric modeling, isogeometric analysis and the finite cell method
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- Conformal solid T-spline construction from boundary T-spline representations
- A two-dimensional isogeometric boundary element method for elastostatic analysis
- THB-splines: The truncated basis for hierarchical splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Numerical evaluation of hypersingular integrals
- Recent progress in unconstrained nonlinear optimization without derivatives
- Discrete Coons patches
- Planar domain parameterization with THB-splines
- Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs
- Two-dimensional domain decomposition based on skeleton computation for parameterization and isogeometric analysis
- Harmonic mappings of multiply connected domains
- Planar domain parameterization for isogeometric analysis based on Teichmüller mapping
- Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
- Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM
- Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines
- THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
- Direct computation of Cauchy principal value integrals in advanced boundary elements
- On the Global Convergence of Derivative-Free Methods for Unconstrained Optimization
- Planar Parametrization in Isogeometric Analysis
- Exploring quadrangulations
- Boundary Element Methods
- Advanced surface fitting techniques
This page was built for publication: THB-splines multi-patch parameterization for multiply-connected planar domains via template segmentation
