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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) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1983 A&A V118 p194.pdf | 3p. | 355.06 kB | Adobe PDF | View/Open |
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