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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 12 — Dec. 1, 2003
  • pp: 2260–2273

Computational imaging with the logarithmic asphere: theory

Wanli Chi and Nicholas George  »View Author Affiliations

JOSA A, Vol. 20, Issue 12, pp. 2260-2273 (2003)

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A theory for an integrated system is described that combines a logarithmic aspheric imaging lens with maximum-entropy digital processing to extend the depth of field ten times over that of a conventional lens and to provide near-diffraction-limited resolution. Two types of logarithmic aspheres are derived that are circularly symmetric lenses with controlled continuous radial variation of focal length. The details of an iterative maximum-entropy algorithm are also presented. The properties of convergence and speed of the algorithm are greatly improved by introducing a metric parameter to adjust the weight of different pixel values of the recovered picture in each loop properly.

© 2003 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(100.1830) Image processing : Deconvolution
(100.3010) Image processing : Image reconstruction techniques
(110.0110) Imaging systems : Imaging systems

Original Manuscript: May 29, 2003
Revised Manuscript: August 7, 2003
Manuscript Accepted: August 12, 2003
Published: December 1, 2003

Wanli Chi and Nicholas George, "Computational imaging with the logarithmic asphere: theory," J. Opt. Soc. Am. A 20, 2260-2273 (2003)

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