The objective function implicit in the CLEAN algorithm

Details The objective function implicit in the CLEAN algorithm The objective function implicit in the CLEAN algorithm

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...182..174m&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 182, no. 1, Aug. 1987, p. 174-178. Research supported by the Rockwell Internat

Astronomy and Astrophysics

Astronomy

9

Algorithms, Data Smoothing, Image Processing, Interferometry, Radio Astronomy, Approximation, Convolution Integrals, Fourier Transformation, Pixels, Spatial Distribution

Scientific paper

In the problem of deconvolving the synthesized beam from a "dirty" image representing the Fourier transform of an incompletely sampled spatial frequency function, it is well known that an infinite number of solutions is possible. The authors have addressed the question as to which particular solution is obtained by CLEAN. They find that when CLEAN is applied to intensity images, it may be regarded as an approximate method for minimizing an objective function represented by Σxj, where xj is the intensity in the jth pixel, subject to xj ≥ 0 and subject to consistency with the data. The approximation is particularly good in the case of point-like images. The CLEAN algorithm thus contains a built-in bias towards the solution corresponding to minimum total flux.

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