  We define Reichstein transforms to be certain birational transformations of
Artin stacks with good moduli spaces. Our main technical result is that the
Reichstein transform of an Artin toric stack is again an Artin toric stack.
This leads to our main theorem which states that for Artin toric stacks there
is a canonical sequence of Reichstein transforms which produces a
Deligne-Mumford toric stack. When the good moduli space of an Artin toric stack
is projective our procedure can be interpreted in terms of Kirwan's partial
desingularization of geometric invariant theory quotients.
