Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-10-15
MNRAS, 298, 905 (1998)
Astronomy and Astrophysics
Astrophysics
4 pages, no figures
Scientific paper
10.1046/j.1365-8711.1998.01707.x
The maximum entropy method has been used to reconstruct images in a wide range of astronomical fields, but in its traditional form it is restricted to the reconstruction of strictly positive distributions. We present an extension of the standard method to include distributions that can take both positive and negative values. The method may therefore be applied to a much wider range of astronomical reconstruction problems. In particular, we derive the form of the entropy for positive/negative distributions and use direct counting arguments to find the form of the entropic prior. We also derive the measure on the space of positive/negative distributions, which allows the definition of probability integrals and hence the proper quantification of errors.
Hobson MP
Lasenby Anthony
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