Alfeld, P., M. Neamtu, and L. L. Schumaker, Fitting scattered data on the sphere, in preparation.  Home/Search   Document Not in Database   Summary   Related Articles

....3) estimates on the approximation power 4) algorithms for manipulating the splines 5) algorithms for interpolation, data fitting, etc. Recently [4] we introduced analogous spaces of splines defined on a triangulation on the sphere or on a sphere like surface. As suggested by our companion paper [5], we believe that such spaces have important applications, and hence it is important to develop the analogous constructive theory. Following [4] we will analyze spherical splines by investigating a more general class of splines associated with a trihedral decomposition T : fT [i] g N 1 of a ....

....using the algorithms presented in [4] for homogeneous polynomials. The question of the approximation power of homogeneous and spherical splines will be dealt with elsewhere. Applications to the interpolation and fitting of scattered data on the sphere or on a sphere like surface are discussed in [5]. Even though we are working in IR 3 , because of the nature of homogeneous polynomials which are essentially bivariate functions the entire development is closely modelled after the analysis of the bivariate spaces of splines S r d ( Delta) carried out in [7, 15, 16] 2. Homogeneous ....

Alfeld, P., M. Neamtu, and L. L. Schumaker, Fitting scattered data on the sphere, in preparation.

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