Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978natur.272..686g&link_type=abstract
Nature, vol. 272, Apr. 20, 1978, p. 686-690.
Astronomy and Astrophysics
Astronomy
299
Astronomical Maps, Entropy, Image Processing, Radio Astronomy, Crystallography, Fourier Transformation, Radio Galaxies, Radio Telescopes
Scientific paper
In many problems the primary data are the Fourier transform of the physical quantities which are of interest and the inverse Fourier transform is normally calculated with a digital computer. Disadvantages concerning this approach related to the presence of experimental errors in the data are pointed out and a description is presented of an alternative method of analysis based on the idea of maximum entropy. The concept is illustrated with the aid of data produced by the radio telescopes at the Mullard Radio Astronomy Observatory, UK. In this application the data are samples of the two-dimensional Fourier transform of the radio brightness from the sky. The combination of maximum-entropy analysis with a proper treatment of experimental errors promises to be a powerful, yet safe, method for estimating the Fourier transform of incomplete and noisy data. The method is very easily generalized to deal with other types of data, not involving a Fourier transform.
Daniell Geoffrey J.
Gull Stephen F.
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