I've got a 3D figure created using around 30k points and has different regions colored in an specific way according to some unrelated variables that come from a project I'm creating. Taking in consideration that I've got the exact values of each point in each region is there a way to interpolate the values into a function that creates an approximation of each space? like how Lagrange Interpolation does it but in 2D
I'm mostly looking for names of methods so I can try and implement them
Are all of the edges of your regions lines, planes, and polyhedra? It might help to look into https://en.wikipedia.org/wiki/Barycentric_coordinate_system Barycentric Coordinates. You'll have to split everything into triangles/tetrahedra first.