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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 53))

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Abstract

We introduce the concept of pyramid images in problems of image reconstruction, and demonstrate that they provide a natural way to account for spatial correlation, especially when the images have many different length scales. Virtually all length scales can be accounted for because images are formed from a weighted sum of a 1 × 1 pixel channel, a 2 × 2 channel, a 4 × 4 channel, etc. All channels cover the entire image, and each channel can be tuned optimally for its own scale length. Diagnostics for fine-tuning may be introduced in a straightforward manner. Image reconstructions through pyramid images are only a factor 4/3 larger in size than conventional single channel methods.

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References

  • Bontekoe, Tj.R., Kester, D.J.M., Price, S.D., de Jonge, A.R.W., and Wesselius, P.R.: 1991, Image Construction from the IRAS Survey’, Astron. Astrophys. 248, 328–336.

    Google Scholar 

  • Bontekoe, Tj.R. and Koper, E.: 1992, Pitfalls in image reconstruction’ in D.M. Worall

    Google Scholar 

  • C. Biemesderfer, and J. Barnes (eds.) Astron. Soc. of the Pacific Conf. Series Vol. 25, 191–195. Charter, M.K.: 1990, Drug absorption in man,….’, in P.F. Fougere (ed.), MaximumEntropy and Rayesian Methods, Dartmouth 1989,325–339, Kluwer, Dordrecht.

    Google Scholar 

  • Gull, S.F.: 1989, Developments in maximum entropy data analysis’, in J. Skilling (ed.), Maximum Entropy and Rayesian Methods, Cambridge 1988, 53–71, Kluwer, Dordrecht.

    Google Scholar 

  • Sivia, D.S.: 1990, Applications of maximum entropy…’, in P.F. Fougere (ed.), Maximum Entropy and Rayesian Methods, Dartmouth 1989, 195–209, Kluwer, Dordrecht.

    Google Scholar 

  • Skilling, J.: 1989, Classic maximum entropy’, in J. Skilling (ed.), Maximum Entropy and Rayesian Methods, Cambridge 1988, 45–72, Kluwer, Dordrecht.

    Google Scholar 

  • Skilling, J.: 1991, Fundamentals of MaxEnt in data analysis’ in B. Buck and V. Macaulay (eds.), Maximum Entropy in Action, 19–40, Clarendon Press, Oxford.

    Google Scholar 

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© 1993 Springer Science+Business Media Dordrecht

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Bontekoe, T.R. (1993). Pyramid Images. In: Mohammad-Djafari, A., Demoment, G. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 53. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2217-9_41

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  • DOI: https://doi.org/10.1007/978-94-017-2217-9_41

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4272-9

  • Online ISBN: 978-94-017-2217-9

  • eBook Packages: Springer Book Archive

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