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Proceedings Paper

Fourier Phase Retrieval When The Image Is Complex
Author(s): R. H. T. Bates; D. G. H. Tan
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Paper Abstract

Fienup's iterative phase retrieval algorithms are applied to an image (confined to a support having a concave perimeter) whose phase can be chosen either zero, or varying arbitrarily between 0 and 7, or quite arbitrary. Reconstructed images are confined (or, more precisely, we attempt to confine them) to either the support or the rectangle just enclosing it. Both positive reconstructed images are faithful (as expected) when positivity is enforced. Bipolar and complex images reconstructed within the support are recognizable, but are scarcely recognizable when reconstructed within the rectangle. The bipolar reconstructed images are superior to the complex ones. These results reinforce the general experience that a support-constraint tends by itself to be too weak to ensure faithful image reconstruction.

Paper Details

Date Published: 25 October 1985
PDF: 6 pages
Proc. SPIE 0558, Inverse Optics II, (25 October 1985); doi: 10.1117/12.949573
Show Author Affiliations
R. H. T. Bates, University of Canterbury (New Zealand)
D. G. H. Tan, University of Canterbury (New Zealand)


Published in SPIE Proceedings Vol. 0558:
Inverse Optics II
Richard H.T. Bates; Anthony J. Devaney, Editor(s)

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