A spherical polynomial approximant of degree r that interpolates a subset of nodes and minimizes residual on the rest, unique under rank assumptions on Vandermonde matrices and decomposable into even/odd parts for antipodal symmetry.
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Polynomial interpolation--regression on the sphere
A spherical polynomial approximant of degree r that interpolates a subset of nodes and minimizes residual on the rest, unique under rank assumptions on Vandermonde matrices and decomposable into even/odd parts for antipodal symmetry.