We demonstrate through different simulations that multivariate statist
ics can be successfully used for measuring accurate quantitative, elem
ental maps from transmitted X-ray images obtained from an unknown obje
ct made of several atomic species. We discuss the robustness of the pr
oposed method when confronting different situations: use of cross sect
ions measured on standards of unknown thicknesses instead of tabulated
values, unknown and even variable object thickness, noisy (Poissonian
) images, detection of low atomic concentration, induced error if the
number or the identity of the atomic species supposed to be present in
the object is wrong. The results presented in this paper are not rela
ted to electron probe microanalysis and may potentially concern any re
search group using any kind of micro- or macroradiographic system.