Hidden projection tomography via phase retrieval algorithm

The reconstruction of an object hidden behind a scattering curtain is a modern topic in the field of imaging, which has stimulated an active scientific production over the past few years. However, most of the work done in the field was in addressing the reconstruction of a bi-dimensional object. Here, instead, we tackle the reconstruction of a three-dimensional fluorescent sample hidden behind an opaque layer. To do so, we show that the auto-correlation operation well behave in projection tomography, letting us to reconstruct a three-dimensional auto-correlation of the object. By having access to such information, it is possible to implement a phase retrieval algorithm to roll back to the actual reconstruction of the specimen.