Grid deformation with curve attractors

Hi everyone,

I am a M.arch student from University of Liverpool, and started using grasshopper 2 months ago. The topic of my design module this semester is about forming spatial grid with grasshopper and I'm trying to build a grid deformation that defined by curves(not point). And for now I can only build the geometry in 2D surface but how to transfer it into 3D form became a problem. Hope someone can give me some advice.

(the attachments showed the appearance of the grid in my mind and the 2D Mesh I made so far.)

Thanks a lot.