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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. 26, Iss. 2 — Feb. 1, 2009
  • pp: 283–288

Wiener reconstruction of undersampled imagery

Samuel T. Thurman and James R. Fienup  »View Author Affiliations


JOSA A, Vol. 26, Issue 2, pp. 283-288 (2009)
http://dx.doi.org/10.1364/JOSAA.26.000283


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Abstract

We derive a Fourier-domain Wiener filter for the reconstruction of undersampled imagery. The filter differs from previous implementations in that it permits adjustment of the trade-offs between sharpness of the reconstruction, noise amplification, and aliasing artifact suppression. Additionally, a net transfer function that characterizes the combined effects of the imaging system and the reconstruction process is derived. This net transfer function is valid for both unaliased and aliased spatial frequencies. The expression for the net transfer function is applicable to more general linear image sharpening algorithms.

© 2009 Optical Society of America

OCIS Codes
(100.1830) Image processing : Deconvolution
(100.2980) Image processing : Image enhancement
(100.3020) Image processing : Image reconstruction-restoration
(110.4280) Imaging systems : Noise in imaging systems
(110.4850) Imaging systems : Optical transfer functions
(070.2615) Fourier optics and signal processing : Frequency filtering

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: August 11, 2008
Manuscript Accepted: November 6, 2008
Published: January 27, 2009

Citation
Samuel T. Thurman and James R. Fienup, "Wiener reconstruction of undersampled imagery," J. Opt. Soc. Am. A 26, 283-288 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-2-283

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