How to get Lebedev and Gaussian spherical grid

Question

I am being reading some works on HRTF interpolation and spherical harmonics. In such works regular spherical grids are often used, e.g., in this work, but I am missing how to compute them:
Hence, how to compute the Lebedev and the Gaussian spherical grids?

Is there a python package that easily return the list of points for a specific grid?

Answer 1

Foe Lebedev grids, you could try qc-grid package.

pip install qc-grid

Then you can ask some points for Spherical Harmonics (sh) numerical integration:

from grid.angular import AngularGrid

sh_degree = 6
lebedev_grid = AngularGrid(degree = sh_degree)

print(f"3D points in Cartesian: {lebedev_grid.points}"

Alternatively, you could give AngularGrid the number of points you want. It seems to return the point in Cartesian coordinates.