Fig. 1. Schematic diagram of 3PIE with two slices object.

Fig. 2. Amplitude transmissions and spectra of two layers.

Fig. 3. Formation of U˜2(fm,fn) on varying pixels.

Fig. 4. Formation of U˜3(fm,fn) on varying pixels.

Fig. 5. Object and illumination. (a) and (b) are the amplitude of two layers of object; (c) and (d) are the corresponding phase of two layers of object; (e) and (f) are the amplitude and phase of illumination; the spectra in log scale of two layers object and illumination are shown in (g)–(i), respectively. The scale bar of (a) is suitable for (b)–(d) and (g)–(i).

Fig. 6. Seven diffraction patterns used in computation.

Fig. 7. Reconstructed spectra of two layers. (a) and (b) represent the recovered spectra of two layers, and (c) and (d) depict the difference between reconstructed spectrum and original spectrum.

Fig. 8. Reconstruction of two layers object. (a)–(d) are the amplitudes and phases of two layers object; (e)–(h) are the differences of modulus and phases to their original values.

Fig. 9. Noise and seven new diffraction patterns. (a) is the Poisson noise. (b)–(h) are seven new hybrid diffraction patterns.

Fig. 10. Results reconstructed from noisy data. (a) and (b) are the recovered spectra in log scale; (c) and (d) are the modulus of the reconstructed two-layer object; the corresponding phase is shown in (e) and (f); amplitude differences to original image are shown in (g) and (h).