How are geodesics for RHVAE computed?

[axu-git]

I'd like to make sure I understand what the interpolation in the RHVAE colab is doing.

Can you provide a brief description of how the geodesic is computed? I see from the description in "Geometry-Aware Hamiltonian VAE" sec 4.3.2 that the code parameterizes the curve using a neural network of parameters $\omega$ and that you need to give it a starting and ending point. Is the code breaking down the entire latent space into a grid (each point parameterized using $\omega$) and somehow building up the geodesic from that?

Thanks!