Experimental reconstruction for the combination of two triplicator holograms encoded in the x–y directions. (a, b) The same triplicator hologram is encoded in the x and y directions for (a) the flower and (b) the circle. (c) Equivalent result for the circle object when a different realization of the added noise ${\sigma }_R\left({\mathbf{x}}^{\mathrm{\prime }}\right)$ is applied to the horizontal and the vertical triplicator hologram. (d) Result when the hologram in (c) is combined with the complex-conjugate version of the phase function ${\varphi }_1\left(\mathbf{x}\right)$ encoded in the horizontal direction.