Phase retrieval using boundary conditions
- 1 February 1986
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 3 (2) , 284-288
- https://doi.org/10.1364/josaa.3.000284
Abstract
It is shown that a priori knowledge of the edges of an object is not sufficient to ensure that it can be uniquely reconstructed from the modulus of its Fourier transform (or from its autocorrelation function). Furthermore, even in those cases for which the ultimate solution is unique, in intermediate steps in the solution by the recursive Hayes–Quatieri algorithm there can be ambiguities. An extension of the recursive algorithm that finds the solution (or solutions) is suggested, and it is shown that the recursive method can be applied to complex-valued objects.Keywords
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