Fitting scattered data on sphere-like surfaces using spherical splines
Journal of Computational and Applied Mathematics - Special issue on scattered data
Scattered data fitting on the sphere
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Energy-minimizing splines in manifolds
ACM SIGGRAPH 2004 Papers
Computer Aided Geometric Design
Recursive computation of bivariate Hermite spline interpolants
Applied Numerical Mathematics
A recursive construction of Hermite spline interpolants and applications
Journal of Computational and Applied Mathematics
Quadratic spherical spline quasi-interpolants on Powell--Sabin partitions
Applied Numerical Mathematics
Splines on spherical triangulations with hanging vertices
Computer Aided Geometric Design
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Let u be a function defined on a spherical triangulation @D of the unit sphere S. In this paper, we study a recursive method for the construction of a Hermite spline interpolant u"k of class C^k and degree 4k+1 on S, defined by some data scheme D"k(u). We show that when the data sets D"r(u) are nested, i.e., D"r"-"1(u)@?D"r(u), 1=