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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 7 — Jul. 1, 1999
  • pp: 1769–1778

Dynamics of turbulence-induced noise in image deconvolution with support constraint

Sudhakar Prasad  »View Author Affiliations

JOSA A, Vol. 16, Issue 7, pp. 1769-1778 (1999)

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A priori knowledge of the image support, often called the support constraint, when applied to a raw image formed by an imaging system leads, by means of convolution with the support spectrum, to a mixing of the spatial frequencies in the image. For a noisy raw image, such mixing causes motion of noise in its spatial-frequency spectrum. A simple model for describing the motion of atmospheric-turbulence-induced noise in the spectrum of a star image formed by a ground-based system under the application of a support constraint is presented. The transport of noise occurs in this model by a combination of ballistic motion, or drift, and diffusive spreading. For an inversion-symmetric support, the drift is absent, and noise transport is exclusively diffusive. An analytical expression for the reduction of noise that such diffusive spreading in the spatial-frequency plane can facilitate, when a circular support of arbitrary size is employed, is derived.

© 1999 Optical Society of America

OCIS Codes
(100.1830) Image processing : Deconvolution
(100.2980) Image processing : Image enhancement
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(110.4280) Imaging systems : Noise in imaging systems

Original Manuscript: July 27, 1998
Revised Manuscript: March 2, 1999
Manuscript Accepted: March 2, 1999
Published: July 1, 1999

Sudhakar Prasad, "Dynamics of turbulence-induced noise in image deconvolution with support constraint," J. Opt. Soc. Am. A 16, 1769-1778 (1999)

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