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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: Franco Gori
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 141–150

Resolution enhancement of imaging small-scale portions in a compactly supported function

Hsin M. Shieh, Yu-Ching Hsu, Charles L. Byrne, and Michael A. Fiddy  »View Author Affiliations


JOSA A, Vol. 27, Issue 2, pp. 141-150 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000141


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Abstract

The ambiguity involved in reconstructing an image from limited Fourier data is removed using a new technique that incorporates prior knowledge of the location of regions containing small-scale features of interest. The prior discrete Fourier transform (PDFT) method for image reconstruction incorporates prior knowledge of the support, and perhaps general shape, of the object function being reconstructed through the use of a weight function. The new approach extends the PDFT by allowing different weight functions to modulate the different spatial frequency components of the reconstructed image. The effectiveness of the new method is tested on one- and two-dimensional simulations.

© 2010 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: May 13, 2009
Revised Manuscript: September 12, 2009
Manuscript Accepted: October 14, 2009
Published: January 7, 2010

Virtual Issues
Vol. 5, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Hsin M. Shieh, Yu-Ching Hsu, Charles L. Byrne, and Michael A. Fiddy, "Resolution enhancement of imaging small-scale portions in a compactly supported function," J. Opt. Soc. Am. A 27, 141-150 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-2-141

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