In-line holography is attractive for x-ray microscopy due to its recording simplicity. A drawback of this method is the superposition of the virtual and real images, in which structures and details can be modified or lost. This superposition effectively limits the application of in-line holography to x- ray microscopy. We present in this work an iterative constrained algorithm for twin image elimination from Gabor holograms of finite support objects. It is based in the different spatial extent of both images, together with a finite support constraint. The conditions under which the algorithm is applicable are presented, together with an alternative Monte Carlo method for holograms of complex objects recorded in the shadow regions.
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