Quasi-hierarchical Powell-Sabin B-splines
From MaRDI portal
Publication:625168
DOI10.1016/j.cagd.2008.05.001zbMath1205.65056OpenAlexW1971505719MaRDI QIDQ625168
Stefan Vandewalle, Paul Dierckx, Hendrik Speleers
Publication date: 15 February 2011
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2008.05.001
Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)
Related Items
A new B-spline representation for cubic splines over Powell-Sabin triangulations, Characterization of bivariate hierarchical quartic box splines on a three-directional grid, Completeness of generating systems for quadratic splines on adaptively refined criss-cross triangulations, Adaptively refined multilevel spline spaces from generating systems, Hierarchical spline spaces: quasi-interpolants and local approximation estimates, Dimension of polynomial splines of mixed smoothness on T-meshes, Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations, A normalized basis for quintic Powell-Sabin splines, A normalized basis for reduced Clough-Tocher splines, Effortless quasi-interpolation in hierarchical spaces, THB-splines: The truncated basis for hierarchical splines, Strongly stable bases for adaptively refined multilevel spline spaces, Computing the partial conjugate of convex piecewise linear-quadratic bivariate functions, \(\mathcal{C}^1\) cubic splines on Powell-Sabin triangulations, Truncated hierarchical Loop subdivision surfaces and application in isogeometric analysis, Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems, Modified PHT-splines, On the Local Approximation Power of Quasi-Hierarchical Powell-Sabin Splines, A normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations, Adaptive isogeometric analysis with hierarchical box splines, Quasi-interpolation for analysis-suitable T-splines, DPB-splines: the decoupled basis of patchwork splines, Completeness characterization of type-I box splines
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the stability of normalized Powell--Sabin B-splines
- Scattered data fitting by direct extension of local polynomials to bivariate splines
- Weight control for modelling with NURPS surfaces
- Numerical solution of partial differential equations with Powell-Sabin splines
- Quadratic spline quasi-interpolants on Powell-Sabin partitions
- On the multi-level splitting of finite element spaces
- Least squares surface approximation using multiquadrics and parametric domain distortion
- Subdivision of uniform Powell--Sabin splines
- On calculating normalized Powell-Sabin B-splines
- Multiresolution analysis over triangles, based on quadratic Hermite interpolation
- Automatic construction of control triangles for subdivided Powell --- Sabin splines
- Local subdivision of Powell--Sabin splines
- Dimensions of spline spaces over T-meshes
- Parallel Multilevel Preconditioners
- Multigrid methods with Powell-Sabin splines
- CHARMS
- Error Bounds for Hermite Interpolation by Quadratic Splines on an -Triangulation
- A first-order blending method for triangles based upon cubic interpolation
- Algorithms for surface fitting using Powell-Sabin splines
- Piecewise Quadratic Approximations on Triangles
- An Overview of Wavelet Based Multiresolution Analyses
- Natural hierarchical refinement for finite element methods
- Macro-elements and stable local bases for splines on Powell-Sabin triangulations
- Variational, Geometric, and Level Set Methods in Computer Vision
- Smooth macro-elements based on Powell--Sabin triangle splits