  We present a method for inverting charged particle velocity map images which
incoorporates a non-uniform detection function. This method is applied to the
specific case of extracting molecular axis alignment from Coulomb explosion
imaging probes in which the probe itself has a dependence on molecular
orientation which often removes cylindrical symmetry from the experiment and
prevents the use of standard inversion techniques for the recovery of the
molecular axis distribution. By incorporating the known detection function, it
is possible to remove the angular bias of the Coulomb explosion probe process
and invert the image to allow quantitative measurement of the degree of
molecular axis alignment.
