I am trying to implement SOAP descriptor. For which I need to solve the projection integral of the form:
$$ c = \int \int \int_\mathcal{V} g(r) Y(\phi, \theta)e ^{k |\mathbf{r - R}|^2}sin(\theta) r^2 d\theta d\phi dr $$
Where $k$ and $\mathbf{R}$ are some constants.
Are there any 3D equivalent of Lebedev quadrature for fast numerical integration over volume on spherical coordinates?