A Third ‘Crosswords Based’ Approach to 2-D Phase Retrieval Problems

In our recent papers, the phase retrieval problem is dealt with by splitting the 2-D problem into a series of 1-D problems solved through the Spectral Factorization method and a subsequent crosswords-like selection scheme, which also allows for successful recovery by using a single measurement surface (plus minimal a-priori information of the source). In this communication we provide a further and hopefully final advance of the corresponding procedure, thus removing the computational complexity associated to our previous crossing schemes.