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Proceedings Paper

Functional approach to the inverse problem of photon counting statistics
Author(s): Vitalij N. Kurashov
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Paper Abstract

A common problem in the measurement of photon-count statistics is to estimate the probability density function (PDF) of light intensity from those of photon counts. Considerable recent attention has been focused on this problem in the context of astronomical speckle interferometry, where the statistics of the speckle pattern are used for image reconstructionl. As this problem is typically ill-posed, its direct solution is unstable and requires some regularization procedures. Among them, the algebraic solution with Tichonov's regularization2, asymptotic estimators3, and Pade approximants4 were proposed. We formulate here a different approach to the problem which gives quite acceptable results with reasonable facility.

Paper Details

Date Published: 1 September 1996
PDF: 2 pages
Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27787E (1 September 1996); doi: 10.1117/12.2299149
Show Author Affiliations
Vitalij N. Kurashov, Kiev Univ. (Ukraine)


Published in SPIE Proceedings Vol. 2778:
17th Congress of the International Commission for Optics: Optics for Science and New Technology
Joon-Sung Chang; Jai-Hyung Lee; ChangHee Nam, Editor(s)

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