Mapping a surface data and curves onto a plane


I have a variety of surfaces and curves .vtk files that are related to each other. I was wondering if it was possible to take a surface and a curves object, and project them onto a set 2D plane. Essentially, to take a 2D slice of the surface, but also to project the 3D curves (or some of the nearby ones, at least) onto that 2D plane as well. I was wondering if Paraview had a filter which could accomplish this, or if I would have to write code to manually figure out the projections.