The recently developed concept of refracting profiles and that of refraction holo- diagrams are combined so that the classical Abramson holodiagrams can be gener- alized taking into account a wider class of wave fronts and refraction at an interface, whenever regions of caustics are avoided. These holodiagrams are obtained as en- velopes of specific families of Cartesian Ovals with an appropriate parametrization. Classical and reflecting holodiagrams are particular cases of this class. Several of the properties of the classical holodiagrams are shared by their richer generalized versions.