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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1601

Title: Reconstruction of a polarized brightness distribution by the maximum entropy method
Authors: Nityananda, R.
Narayan, R.
Keywords: ASTRONOMICAL MAPS
BRIGHTNESS DISTRIBUTION
ENTROPY
POLARIZED LIGHT
SYNTHETIC APERTURES
ALGORITHMS
FOURIER TRANSFORMATION
ITERATIVE SOLUTION
MATRICES (MATHEMATICS)
Issue Date: Feb-1983
Publisher: Springer-Verlag
Citation: Astronomy and Astrophysics, 1983, Vol.118, p194-196
Abstract: A general expression for the entropy E of a polarized brightness map B is obtained in terms of a general function f. An expression is also obtained for the gradient of E with respect to unmeasured Fourier coefficients of B, and it is shown that the map B-max which maximizes E is f-prime (B-max) bandlimited. Iterative numerical schemes to obtain B-max can be developed from these results as for the scalar brightness case. It is shown that if f-double prime is less than zero, then there is only one solution for B-max which maximizes E. This will lend robustness to numerical algorithms since convergence to the unique solution is assured.
URI: http://hdl.handle.net/2289/1601
ISSN: 0004-6361
Alternative Location: http://adsabs.harvard.edu/cgi-bin/bib_query?1983A&A...118..194N
Copyright: (1983) by the European Southern Observatory. Scanned images provided by the NASA ADS.
Appears in Collections:Research Papers (A&A)

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