The NURBS surfaces are represented by control vertices - these are the points you see when you invoke the 3D reshape tool or when you check the show vertices checkbox in the OI Palette. The surface geometry may or may not (most cases) pass thru these vertices. The weight at a vertex is a way to pull the surface geometry towards or away from a vertex. If you input any weight between 1-100, it should pull the surface locally more towards that vertex. If you input any weight between .01 - 1, you will essentially push the geometry away from the vertex.