  It is proved that every pseudo-self-affine tiling in R^d is mutually locally
derivable with a self-affine tiling. A characterization of pseudo-self-similar
tilings in terms of derived Voronoi tessellations is a corollary. Previously,
these results were obtained in the planar case, jointly with Priebe Frank. The
new approach is based on the theory of graph-directed iterated function systems
and substitution Delone sets developed by Lagarias and Wang.
