  The form factors of the $\pi \rho$ and $\pi \omega$ radiative transitions are
evaluated within a light-front constituent quark model, using for the first
time the eigenfunctions of a light-front mass operator reproducing the meson
mass spectrum and including phenomenological Dirac and Pauli quark form factors
in the one-body electromagnetic current operator. The sensitivity of the
transition form factors both to the meson wave functions and to the constituent
quark form factors is illustrated. It is shown that the measurement of the $\pi
\rho$ and $\pi \omega$ radiative transitions could help in discriminating among
various models of the meson structure.
