A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
We construct near-optimal quadratures for the sphere that are invariant under the icosahedral rotation group. These quadratures integrate all (N + 1) 2 linearly independent functions in a rotationally invariant subspace of maximal order and degree N . The nodes of these quadratures are nearly uniformly distributed, and the number of nodes is only marginally more than the optimal (N + 1) 2 /3 nodes. Using these quadratures, we discretize the reproducing kernel on a rotationally invariantdoi:10.1098/rspa.2009.0104 fatcat:f2asuzf6mfcslfpdomnqr5lefm