Taking a relativistic potential model of independent quarks, a static calculation of the radiative transitions among the vector and pseudoscalar mesons is performed within the traditional picture of photon emission by a confined quark and/or anti-quark. The uncertainty which creeps into the model predictions, due to the assumption of moderate momentum transfer in static calculations, is then minimized by applying the model for a more relativistic calculation beyond static approximations, incorporating to some extent the momentum dependence due to the recoil of the daughter meson. The results obtained in the case of light mesons are improved and are in good agreement with the experimental values. The predictions in the heavy-meson decays are comparable to those of other model predictions.