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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 4 — Apr. 1, 1981
  • pp: 493–495

Fourier space separability in space-variant imaging

L. Sica  »View Author Affiliations


JOSA, Vol. 71, Issue 4, pp. 493-495 (1981)
http://dx.doi.org/10.1364/JOSA.71.000493


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Abstract

A modification of the equation of one-dimensional space-variant imaging is considered in which the output image is known both as a function of an image-plane coordinate and an object-position coordinate. Under this condition, the Fourier transform of the image intensity with respect to both variables equals the product of the object Fourier transform and a transfer function. A similar relation also occurs for observation of either the integrated image intensity or the intensity at a point versus an object-scan coordinate. Consequently, for the special situation considered, the transfer-function concept may be extended to the space-variant case. The implications of factorization of the transfer function are also considered.

Citation
L. Sica, "Fourier space separability in space-variant imaging," J. Opt. Soc. Am. 71, 493-495 (1981)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-71-4-493

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