Effective interpolation of scattered data on a sphere through a Shepard-like method
The current paper introduced two approximation operators of large scattered datasets for spherical interpolation. The suggested solution method is an extension of Shepard's well-known method of spherical interpolating, which uses the inverted distances of scattered points as weight functions. With regard to this, the first proposed operator is a linear combination of basis functions with coefficients that are the values of the function. As for the second operator, we consider a spherical triangulation of the scattered points and substitute function values with a loca