Angular multiselectivity with spherical wavelets (Q1669072)

The author constructs directional spherical wavelets in \(L_2(S)\), where \(S\) is the unit sphere in \({\mathbb R}^3\). These spherical wavelets are tensor products of a modified Poisson kernel (in \(\vartheta\in [0,\, \pi]\)) and a periodized difference of Gaussians with a parameter \(\tau\in [1,\,\infty)\) (in \(\varphi \in [0,\,2\pi)\)). Using these wavelets, the angular selectivity can be adapted to the features detected in each point of a spherical signal by varying the parameter \(\tau\).