ExtractSurface: does resulting mesh fit the points exactly?

Hi there,

I have a point set I wish to triangulate. Do the VTK methods {ExtractSurface, Poisson, Powercrust} create meshes that go exactly through the input points? Also, my point set has a rather complex topology: it resembles a half-wormhole / funnel with top plate. Will VTK be able to create a nice mesh for that?