A new B-spline representation for cubic splines over Powell-Sabin triangulations
From MaRDI portal
Publication:1632354
DOI10.1016/j.cagd.2015.05.002zbMath1417.65070OpenAlexW399237316MaRDI QIDQ1632354
Publication date: 14 December 2018
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2015.05.002
macro-elementsPowell-Sabin splinesnormalized B-splinesBézier control netClough-Tocher splines\(C^1\) cubic splines
Related Items
Quartic splines on Powell-Sabin triangulations, A B-spline basis for \(C^1\) quadratic splines on triangulations with a 10-split, Construction and analysis of cubic Powell-Sabin B-splines, A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations, On stable representations of Bell elements, Extraction and application of super-smooth cubic B-splines over triangulations, Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision, Three recipes for quasi-interpolation with cubic Powell-Sabin splines, A geometric characterization of Powell-Sabin triangulations allowing the construction of \(C^2\) quartic splines, A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines, A normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations, \(C^1\) interpolation splines over type-1 triangulations with shape parameters, Interpolation with \(C^2\) quartic macro-elements based on \(10\)-splits, On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming, Construction of \(C^2\) cubic splines on arbitrary triangulations, Simplex-splines on the Clough-Tocher split with arbitrary smoothness
Cites Work
- Superconvergent quadratic spline quasi-interpolants on Powell-Sabin partitions
- Quasi-hierarchical Powell-Sabin B-splines
- A normalized basis for quintic Powell-Sabin splines
- A normalized basis for reduced Clough-Tocher splines
- Improving Clough-Tocher interpolants
- Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems
- Normalized trivariate B-splines on Worsey-Piper split and quasi-interpolants
- Numerical solution of partial differential equations with Powell-Sabin splines
- Stable multiresolution analysis on triangles for surface compression
- Quadratic spline quasi-interpolants on Powell-Sabin partitions
- A bivariate \(C^1\) cubic super spline space on Powell-Sabin triangulation
- Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions
- A modified Clough-Tocher interpolant
- Composite finite elements of class \(C^ k\)
- Cubic precision Clough-Tocher interpolation
- Smooth macro-elements based on Clough-Tocher triangle splits
- On calculating normalized Powell-Sabin B-splines
- Developments in bivarite spline interpolation
- Triangular finite elements of HCT type and class \(C^ \rho\)
- Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants
- Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
- A normalized basis for \(\mathcal{C}^1\) cubic super spline space on Powell-Sabin triangulation
- A family of smooth quasi-interpolants defined over Powell-Sabin triangulations
- Spline Functions on Triangulations
- Algorithms for surface fitting using Powell-Sabin splines
- Piecewise Quadratic Approximations on Triangles
- Macro-elements and stable local bases for splines on Powell-Sabin triangulations
- Macro-elements and stable local bases for splines on Clough-Tocher triangulations
- Smooth macro-elements based on Powell--Sabin triangle splits
