Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations
From MaRDI portal
Publication:6592886
DOI10.1016/j.cagd.2024.102348zbMATH Open1547.68796MaRDI QIDQ6592886
C. Manni, Hendrik Speleers, Michelangelo Marsala
Publication date: 26 August 2024
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Numerical computation using splines (65D07) Computer science aspects of computer-aided design (68U07) Interpolation in approximation theory (41A05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the solution of Fredholm integral equations based on spline quasi-interpolating projectors
- Quasi-interpolation in isogeometric analysis based on generalized B-splines
- Three recipes for quasi-interpolation with cubic Powell-Sabin splines
- Bivariate hierarchical Hermite spline quasi-interpolation
- Quadratic spline quasi-interpolants on Powell-Sabin partitions
- Effortless quasi-interpolation in hierarchical spaces
- Quasi-interpolation projectors for box splines
- Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions
- Near-best univariate spline discrete quasi-interpolants on nonuniform partitions
- Composite finite elements of class \(C^ k\)
- Local spline approximation methods
- Bézier and B-spline techniques
- Spline approximation by quasiinterpolants
- Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants
- Error bounds on the approximation of functions and partial derivatives by quadratic spline quasi-interpolants on non-uniform criss-cross triangulations of a rectangular domain
- Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM
- Construction of \(C^2\) cubic splines on arbitrary triangulations
- Local (T)HB-spline projectors via restricted hierarchical spline fitting
- Adaptive refinement with locally linearly independent LR B-splines: theory and applications
- A family of smooth quasi-interpolants defined over Powell-Sabin triangulations
- Hierarchical spline spaces: quasi-interpolants and local approximation estimates
- Smooth macro-elements on Powell-Sabin-12 splits
- Spline Functions on Triangulations
- Scattered Data Interpolation: Tests of Some Method
- Piecewise Quadratic Approximations on Triangles
- Quasi-Interpolation
- Smooth macro-elements based on Powell--Sabin triangle splits
- A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations
This page was built for publication: Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations