Abstract

Centroiding is investigated as a simple and computationally fast technique of object reconstruction, at low light level, from randomly translating images. A relationship between the spectrum of the average N-photon centroided frame and the object spectrum is presented as well as an algorithm for retrieving the phase in the case of one-dimensional objects. Computer-simulated data are used to test the relationship and the reconstruction algorithm.

© 1988 Optical Society of America

Algorithms for image reconstruction from photon-limited data using the triple correlation

M. J. Northcott, G. R. Ayers, and J. C. Dainty
J. Opt. Soc. Am. A 5(7) 986-992 (1988)

Noniterative image reconstruction from photon-limited data with the use of self-cross-correlation

Xiaotian Shi and Rabab K. Ward
J. Opt. Soc. Am. A 12(1) 47-57 (1995)

Imaging a randomly moving object from quantum-limited data: applications to image recovery from second- and third-order autocorrelations

Timothy J. Schulz and Donald L. Snyder
J. Opt. Soc. Am. A 8(5) 801-807 (1991)

Application of bispectrum analysis for phase recovery from one-dimensional infrared speckle data

Jonathan D. Freeman, Julian C. Christou, François Roddier, Donald W. McCarthy, and Michael L. Cobb
J. Opt. Soc. Am. A 5(3) 406-415 (1988)

Knox–Thompson and triple-correlation imaging through atmospheric turbulence

G. R. Ayers, M. J. Northcott, and J. C. Dainty
J. Opt. Soc. Am. A 5(7) 963-985 (1988)