[vtkusers] vtkDelaunay3D not using all points?

[David Doria]

If I run vtkDelaunay3D (with Paraview's default values) on this data set:
http://www.rpi.edu/~doriad/VTK_List/Delaunay3D/bunny.vtp

the output:
http://www.rpi.edu/~doriad/VTK_List/Delaunay3D/bunnyDelaunay.vtu

seems to be more like a convex hull, rather than a solid set of
tetrahedra (where EVERY point is a vertex of a tetrahedron).

Here are screenshots:
- input: http://rpi.edu/~doriad/bunny.jpg
- wireframe view of delaunay3d output:
http://rpi.edu/~doriad/bunnyDelaunay.jpg (note many points are not
joined by an edge)

Am I misinterpreting what is being rendered in the wireframe view? Or
does vtkDelaunay3D not actually do what I have explained?

Thanks,

David