Sifting Convolution on the Sphere

A novel spherical convolution is defined through the sifting property of Dirac delta on sphere. The so-called by inner product one function with a translated version another, but adoption an alternative translation operator This follows analogy Euclidean when viewed in harmonic space. satisfies variety desirable properties that are lacking alternate definitions, namely: it supports directional kernels; has output which remains sphere; and efficient to compute. An illustration topographic map Earth demonstrates kernels perform anisotropic filtering, while its