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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 11 — Nov. 1, 2006
  • pp: 2732–2736

Image reconstruction from limited Fourier data

Hsin M. Shieh and Charles L. Byrne  »View Author Affiliations


JOSA A, Vol. 23, Issue 11, pp. 2732-2736 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002732


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Abstract

We consider the problem of reconstructing a function f with bounded support S from finitely many values of its Fourier transform F. Although f cannot be band limited since it has bounded support, it is typically the case that f can be modeled as the restriction to S of a σ-band-limited function, say g. Our reconstruction method is based on such a model for f. Of particular interest is the effect of the choice of σ > 0 on the resolution.

© 2006 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(100.6640) Image processing : Superresolution

ToC Category:
Image Processing

History
Original Manuscript: February 6, 2006
Revised Manuscript: May 3, 2006
Manuscript Accepted: May 18, 2006

Citation
Hsin M. Shieh and Charles L. Byrne, "Image reconstruction from limited Fourier data," J. Opt. Soc. Am. A 23, 2732-2736 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-11-2732

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