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Astronomical Images Restoration by the Multiscale Maximum Entropy Method

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Statistical Challenges in Modern Astronomy II

Abstract

We describe in this paper the Multiscale Maximum Entropy Method which is based on the concept of multiscale entropy derived from the wavelet decomposition of a signal into different frequencies bands. It leads to a method which is flux conservative, and the use of a multiresolution support solves the problem of MEM to chose the a parameter, i.e. relative weight between the goodness-of-fit and the entropy.

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References

  1. Bontekoe, Tj.R., Koper, E., and Kester, D.J.M., 1994, “Pyramid Maximum Entropy Images of IRAS Survey Data”, Astronomy and Astrophysics, 294. pp 1037–1053.

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  2. Gull, S.F., Skilling, J., 1991, MEMSYS5 User’s Manual.

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  3. Pantin, E. and Starck, J.L.. “Deconvolution of Astronomical Images using the Multiresolution Maximum Entropy Method”. to appear in Astronomy and Astrophysics.

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  4. Starck, J.L., Murtagh, F., and Bijaoui, A, “Multiresolution Support Applied to Image Filtering and Deconvolution”, in CVIP: Graphical Models and Image Processing, Vol. 57, 5, pp 420–431. Sept. 1995.

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© 1997 Springer Science+Business Media New York

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Starck, JL., Pantin, E. (1997). Astronomical Images Restoration by the Multiscale Maximum Entropy Method. In: Babu, G.J., Feigelson, E.D. (eds) Statistical Challenges in Modern Astronomy II. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1968-2_29

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  • DOI: https://doi.org/10.1007/978-1-4612-1968-2_29

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7360-8

  • Online ISBN: 978-1-4612-1968-2

  • eBook Packages: Springer Book Archive

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