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Proceedings Paper

Object Estimation From Limited Fourier Magnitude Samples
Author(s): H. M. Berenyi; C. L. Byrne; M. A. Fiddy
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Paper Abstract

The optical phase retrieval problem occurs in imaging, microscopy and several types of interferometry. This paper is concerned with retrieving an optimal estimate for the Fourier phase from a restricted number of noisy Fourier magnitude (or power spectrum) data samples. Of particular interest is the case when the direct Fourier transform of such limited data provides a poor object estimate even when the correct complex data are available. A method to achieve this is described based on the minimisation of a phase dependent cost function and the results of an approximate but sub-optimal iterative implementation are discussed.

Paper Details

Date Published: 10 September 1987
PDF: 8 pages
Proc. SPIE 0808, Inverse Problems in Optics, (10 September 1987); doi: 10.1117/12.941477
Show Author Affiliations
H. M. Berenyi, King's College London (U.K.)
C. L. Byrne, University of Lowell (United States)
M. A. Fiddy, King's College London (U.K.)

Published in SPIE Proceedings Vol. 0808:
Inverse Problems in Optics
Edward Roy Pike M.D., Editor(s)

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