Projection extrapolation routine for tight-frame limited-angle optical diffraction tomography

We propose a data-replenishment-type expansion of the modified Gerchberg-Papoulis (GP) algorithm for limited-angle optical diffraction tomography (LAODT), which prevents artifact buildup in the GP reconstructions of confined bulk objects tightly fitting the active field of view (FoV) of the LAODT microscope. Objects crossing the FoV borders are not considered. The method relies on a Fourier-based forward projector complementary to the GP solver with no additional constraints. Fourier space regridding errors are minimized by means of one-dimensional oversampling in the axial direction, which is demonstrated to be more efficient than standard projection padding. Verification of both synthetic and experimental sinograms confirms the ability of the procedure to deduce missing projection parts necessary for the correct reconstruction.