“…However, for digital in-line holography, light field in the object domain is complex valued and, therefore, the phase recovery is possible only if the support of the object is sufficiently isolated (i.e., sparsity constrains) (14,15,17,18) or the edges are sharply defined (true boundary) (14,15,18). Furthermore, the interference nature of the technique implies that coherence-based noise sources, such as speckles and cross-interference, would be present and would need to be addressed (7,8,19). While methods for mitigating these have been reported (13,14,20), the generated images are, nevertheless, identifiably different from images acquired with conventional microscopes due to coherence based noise sources.…”