Exponential filtering, together with an improved version of the iterative Fourier-transform algorithm, is applied to image reconstruction from one-dimensional infrared stellar speckle interferometry data. The only problem was an expected noisy appearance of the results when noisy data were simulated. Finally, the method was applied to observational specklegrams of the infrared source IRC + 10216, in two standard photometric bands: K and M (2.2 and 5 microns, respectively). The reconstruction in K of a north-south scan clearly shows three components inside a circumstellar shell. On the other hand, in the M band only a wing on the north side of the main component is resolvable.