Interpolation on surfaces using minimum norm networks
Computer Aided Geometric Design
Fitting scattered data on sphere-like surfaces using spherical splines
Journal of Computational and Applied Mathematics - Special issue on scattered data
Hybrid Be´zier patches on sphere-like surfaces
Journal of Computational and Applied Mathematics - Special issue on scattered data
On calculating normalized Powell-Sabin B-splines
Computer Aided Geometric Design
Scattered data fitting on the sphere
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere
SIAM Journal on Scientific Computing
Quasi-interpolation by quadratic piecewise polynomials in three variables
Computer Aided Geometric Design
Modeling sphere-like manifolds with spherical Powell--Sabin B-splines
Computer Aided Geometric Design
Recursive computation of Hermite spherical spline interpolants
Journal of Computational and Applied Mathematics
Scattered data fitting on surfaces using projected Powell-Sabin splines
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Construction of spherical spline quasi-interpolants based on blossoming
Journal of Computational and Applied Mathematics
Splines on spherical triangulations with hanging vertices
Computer Aided Geometric Design
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Spline quasi-interpolation methods are local tools approximating functions or discrete data. In this paper we deal with the problem of constructing quasi-interpolants in the space of quadratic spherical Powell-Sabin splines on uniform spherical triangulations of a sphere-like surface S. Discrete and differential quasi-interpolants of optimal approximation order are developed and numerical tests for illustrating theoretical results are presented.