Thank you for this super useful tool !
At present, we cannot have access to the connection Laplacian operator used for Heat Diffusion on tangent vector fields (defined on vertices).
It would be useful to be able to access it from the solver (with point cloud and with mesh if possible),
for instance L = solver.connection_laplacian()
The idea would be to use this laplacian to write gradients (defined at points) in spectral basis.
In this spirit, it could be useful to access gradient operators from within the solver too (since they have to be written in the local complex basis at each point which has to be the same as the one for the laplacian I suppose)
for instance G = solver.complex_gradient(). Alternatively, one could use for instance gradients defined in DiffusionNet but they would have to agree with the local basis of the connection Laplacian of the solver.
I hope this is enough information, thanks again for your huge help !
Thank you for this super useful tool ! At present, we cannot have access to the connection Laplacian operator used for Heat Diffusion on tangent vector fields (defined on vertices). It would be useful to be able to access it from the solver (with point cloud and with mesh if possible), for instance
L = solver.connection_laplacian()The idea would be to use this laplacian to write gradients (defined at points) in spectral basis. In this spirit, it could be useful to access gradient operators from within the solver too (since they have to be written in the local complex basis at each point which has to be the same as the one for the laplacian I suppose) for instanceG = solver.complex_gradient(). Alternatively, one could use for instance gradients defined in DiffusionNet but they would have to agree with the local basis of the connection Laplacian of the solver.I hope this is enough information, thanks again for your huge help !