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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

  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1059–1067

Signal-to-noise ratio of the intensity-dependent spread filter and its reconstruction

Shahriar Najand, Douglas Blough, and Glenn Healey  »View Author Affiliations


JOSA A, Vol. 15, Issue 5, pp. 1059-1067 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001059


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Abstract

In this paper equations for the output mean and variance of the intensity-dependent spread (IDS) filter and its reconstruction are derived for images corrupted by white Gaussian and white Poisson noise. These equations are then used to compute the signal-to-noise ratio (SNR) in both the filtered image and the reconstructed image. We show that for additive Gaussian noise the SNR in the reconstructed image varies as the square root of the mean intensity and for additive Poisson noise the SNR is constant. We compare the SNR in the reconstructed image with that of the linear-shift-invariant Gaussian filter, and we show that the IDS filter can achieve a specified minimum SNR over the image with substantially less blur than a Gaussian. We also derive a formula to trade off blur for SNR by adjusting the spread factor of the IDS kernel.

© 1998 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(110.4280) Imaging systems : Noise in imaging systems
(350.2460) Other areas of optics : Filters, interference

History
Original Manuscript: August 7, 1997
Revised Manuscript: December 15, 1997
Manuscript Accepted: December 19, 1997
Published: May 1, 1998

Citation
Shahriar Najand, Douglas Blough, and Glenn Healey, "Signal-to-noise ratio of the intensity-dependent spread filter and its reconstruction," J. Opt. Soc. Am. A 15, 1059-1067 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-5-1059

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