Figure 4

Schematics of the PRT approach. (A) schematic showing the backprojection criteria. For each of the Average Intensity Projections (AIP) coming from every angle (Fig. 1) we calculate the autocorrelation images. These images are smeared along a volume in function of their angle of view, following the backprojection criteria of the filtered Inverse Radon transformation. The result of this is a volume that contains the three-dimensional autocorrelation information of the object we want to image. It worth to notice that the autocorrelations are always peaked in the center and symmetric respect this point. In panel B, the final reconstruction after the Phase-Retrieved Tomography (PRT). The 3D autocorrelation feed a Gerchberg-Saxton algorithm, which retrieves the phase information reconstructing the object with no artifacts due to misalignment.