favorite5In conclusion, we have demonstrated that the twin image problem in phase retrieval can be addressed in a deterministic manner if the well known algorithms such as the HIO method are modified to include a sparsity enhancing step.
favorite11(c) Fourier transform magnitude displayed as |G(fx , fy )|0.25 to suit the display, (d) a typical stagnated phase solution using 500 iterations of the HIO method showing the twin image problem..
favorite14A typical stagnated phase solution containing the twin image is shown in Fig. Here we used 500 iterations of the HIO method for phase retrieval with object support as the only constraint.
favorite28As shown here when an image sparsity enhancing step is added to a standard phase retrieval approach such as the hybrid input-output method (HIO) , the twin image always appears to get eliminated (or possibly weakened) even when the object support is centro-symmetric.