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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: Franco Gori
  • Vol. 29, Iss. 10 — Oct. 1, 2012
  • pp: 2048–2057

Information content per photon versus image fidelity in three-dimensional photon-counting integral imaging

Majeed M. Hayat, Srikanth Narravula, Matthew Pepin, and Bahram Javidi  »View Author Affiliations


JOSA A, Vol. 29, Issue 10, pp. 2048-2057 (2012)
http://dx.doi.org/10.1364/JOSAA.29.002048


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Abstract

Photon-counting integral imaging has been introduced recently, and its applications in three-dimensional (3D) object sensing, visualization, recognition, and classification under photon-starved conditions have been demonstrated. This paper sheds light on the underlying information-theoretic foundation behind the ability of photon-counting integral imaging in performing complex tasks with far fewer photons than conventional imaging systems. A metric for photon-information content is formulated in the context of 3D photon-counting imaging, and its properties are investigated. It is shown that there is an inherent trade-off between imaging fidelity, measured by the entropy-normalized mutual information associated with a given imaging system, and the amount of information in each photon used in the imaging process, as represented by the photon-number–normalized mutual information. The dependence of this trade-off on photon statistics, correlation in the 3D image, and the signal-to-noise ratio of the photon-detection system is also investigated.

© 2012 Optical Society of America

OCIS Codes
(030.5260) Coherence and statistical optics : Photon counting
(110.0110) Imaging systems : Imaging systems
(110.3000) Imaging systems : Image quality assessment
(110.3055) Imaging systems : Information theoretical analysis

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: March 6, 2012
Revised Manuscript: August 8, 2012
Manuscript Accepted: August 12, 2012
Published: September 5, 2012

Citation
Majeed M. Hayat, Srikanth Narravula, Matthew Pepin, and Bahram Javidi, "Information content per photon versus image fidelity in three-dimensional photon-counting integral imaging," J. Opt. Soc. Am. A 29, 2048-2057 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-10-2048


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