Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Composite Cr-triangular finite elements of PS type on a three direction mesh
Curves and surfaces
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Quadrilateral finite elements of FVS type and class Cp
Numerische Mathematik
On C2 quintic spline functions over triangulations of Powell-Sabin's type
Journal of Computational and Applied Mathematics - Special issue on scattered data
On the Approximation Power of Splines on Triangulated Quadrangulations
SIAM Journal on Numerical Analysis
Piecewise Quadratic Approximations on Triangles
ACM Transactions on Mathematical Software (TOMS)
Local Lagrange interpolation by bivariate C1 cubic splines
Mathematical Methods for Curves and Surfaces
On the stability of normalized Powell-Sabin B-splines
Journal of Computational and Applied Mathematics
A C2 trivariate macro-element based on the Clough-Tocher-split of a tetrahedron
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Local subdivision of Powell-Sabin splines
Computer Aided Geometric Design
C1 hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations
Journal of Computational and Applied Mathematics
An octahedral C2 macro-element
Computer Aided Geometric Design
Energy minimization method for scattered data Hermite interpolation
Applied Numerical Mathematics
A bivariate C1 cubic super spline space on Powell-Sabin triangulation
Computers & Mathematics with Applications
Quasi-hierarchical Powell--Sabin B-splines
Computer Aided Geometric Design
Local subdivision of Powell--Sabin splines
Computer Aided Geometric Design
A C2 trivariate macro-element based on the Clough--Tocher-split of a tetrahedron
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
An octahedral C2 macro-element
Computer Aided Geometric Design
A normalized basis for quintic Powell--Sabin splines
Computer Aided Geometric Design
On multivariate polynomials in Bernstein-Bézier form and tensor algebra
Journal of Computational and Applied Mathematics
Interpolation with quintic Powell-Sabin splines
Applied Numerical Mathematics
Special multivariate quadratic spline space
Mathematical and Computer Modelling: An International Journal
Scattered data interpolation by bivariate splines with higher approximation order
Journal of Computational and Applied Mathematics
Full length article: A C r trivariate macro-element based on the Alfeld split of tetrahedra
Journal of Approximation Theory
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Macro-elements of arbitrary smoothness are constructed on Powell-Sabin triangle splits. These elements are useful for solving boundary-value problems and for interpolation of Hermite data. It is shown that they are optimal with respect to spline degree, and we believe they are also optimal with respect to the number of degrees of freedom. The construction provides local bases for certain superspline spaces defined over Powell-Sabin refinements. These bases are shown to be stable as a function of the smallest angle in the triangulation, which in turn implies that the associated spline spaces have optimal order approximation power.