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Proceedings Paper

Bounds On Intensity Functions From Fourier Transform Samples
Author(s): Thomas L. Marzetta; Stephen W. Lang
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Paper Abstract

This paper considers the problem of determining an intensity function given a finite set of discrete samples of its Fourier transform. The problem is inherently illposed since there are an infinite number of different intensity functions consistent with the given Fourier transform samples. A more reasonable problem is to infer some linear functional of the intensity function, for example the integral of the intensity function over some subset of its support. Although this quantity cannot be deter-mined exactly, nontrivial upper and lower bounds on its possible values can be determined.

Paper Details

Date Published: 22 September 1983
PDF: 4 pages
Proc. SPIE 0413, Inverse Optics I, (22 September 1983); doi: 10.1117/12.935851
Show Author Affiliations
Thomas L. Marzetta, Schlumberger-Doll Research (United States)
Stephen W. Lang, Schlumberger-Doll Research (United States)

Published in SPIE Proceedings Vol. 0413:
Inverse Optics I
Anthony J. Devaney, Editor(s)

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