In this paper I analyze the sensitivity of an interferometer based on the double-exposure recording by means of a positive lens of the quasi-Fourier and Fourier holograms, to the cross or longitudinal motions of a flat diffuse surface. It is shown that interference patterns are localized in the hologram plane and in the Fourier-transform plane. For their recording, a spatial filtering of the diffraction field is necessary. The experimental results agree with the theoretical preconditions.