A normalized basis for reduced Clough-Tocher splines
From MaRDI portal
Publication:631525
DOI10.1016/j.cagd.2010.09.003zbMath1210.65026OpenAlexW2050578389MaRDI QIDQ631525
Publication date: 14 March 2011
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2010.09.003
numerical examplescontrol pointsnormalized B-splinesBézier control netClough-Tocher splinescontrol triangles
Related Items
Quartic splines on Powell-Sabin triangulations, A new B-spline representation for cubic splines over Powell-Sabin triangulations, Watertight conversion of trimmed CAD surfaces to Clough-Tocher splines, Continuity and convergence in rational triangular Bézier spline based isogeometric analysis, Generalized \(C^1\) Clough-Tocher splines for CAGD and FEM, A B-spline basis for \(C^1\) quadratic splines on triangulations with a 10-split, Constructing B-spline representation of quadratic Sibson-Thomson splines, A normalized basis for condensed \(\mathcal{C}^1\) Powell-Sabin-12 splines, Triangulation-based isogeometric analysis of the Cahn-Hilliard phase-field model, Construction and analysis of cubic Powell-Sabin B-splines, A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations, Almost-\(C^1\) splines: biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems, On stable representations of Bell elements, Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations, Extraction and application of super-smooth cubic B-splines over triangulations, Standard and Non-standard CAGD Tools for Isogeometric Analysis: A Tutorial, Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation, Effortless quasi-interpolation in hierarchical spaces, On numerical quadrature for \(C^1\) quadratic Powell-Sabin 6-split macro-triangles, Gaussian quadrature for \(C^1\) cubic Clough-Tocher macro-triangles, Superconvergent quadratic spline quasi-interpolants on Powell-Sabin partitions, Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision, A normalized basis for \(\mathcal{C}^1\) cubic super spline space on Powell-Sabin triangulation, Cubic spline quasi-interpolants on powell-sabin partitions, A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines, Construction of superconvergent quasi-interpolants using new normalized \(C^2\) cubic B-splines, Local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation, Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions, Construction of \(C^2\) cubic splines on arbitrary triangulations, Simplex-splines on the Clough-Tocher split with arbitrary smoothness
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the stability of normalized Powell--Sabin B-splines
- Quasi-hierarchical Powell-Sabin B-splines
- Nonnegativity preserving macro-element interpolation of scattered data
- A normalized basis for quintic Powell-Sabin splines
- 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 modified Clough-Tocher interpolant
- Cubic precision Clough-Tocher interpolation
- Smooth macro-elements based on Clough-Tocher triangle splits
- On calculating normalized Powell-Sabin B-splines
- Triangular finite elements of HCT type and class \(C^ \rho\)
- Spline Functions on Triangulations
- Basis functions for general Hsieh-Clough-Tocher triangles, complete or reduced
- Algorithms for surface fitting using Powell-Sabin splines
- Interpolation Error Estimates for the Reduced Hsieh-Clough-Tocher Triangle
- Macro-elements and stable local bases for splines on Clough-Tocher triangulations
