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Proceedings Paper

Redundancy in multidimensional deconvolution and phase retrieval
Author(s): Rick P. Millane
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Paper Abstract

It is shown that multiple blind deconvolution and phase retrieval in three or more dimensions are overdetermined problems if the image or Fourier amplitude, respectively, is measured continuously (or, equivalently, is sampled at the Nyquist rate). A sampling scheme is derived that removes the overdeterminancy and allows a measure of the redundancy to be defined. This indicates that phase retrieval and deconvolution are more stable, with respect to noise and partial information, with increasing dimensionality.

Paper Details

Date Published: 1 November 1990
PDF: 10 pages
Proc. SPIE 1351, Digital Image Synthesis and Inverse Optics, (1 November 1990); doi: 10.1117/12.23637
Show Author Affiliations
Rick P. Millane, Purdue Univ. (New Zealand)

Published in SPIE Proceedings Vol. 1351:
Digital Image Synthesis and Inverse Optics
Arthur F. Gmitro; Paul S. Idell; Ivan J. LaHaie, Editor(s)

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