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Deconvolution Based on Experimentally Determined Apparatus Functions

  • V. Dose
  • R. Fischer
  • W. von der Linden
Part of the Fundamental Theories of Physics book series (FTPH, volume 98)

Abstract

Deconvolution of experimental measurements in e.g. electron or ion scattering can result in considerable resolution enhancement. It is usually assumed that the apparatus function which we wish to remove from the experimental signal is either known exactly or with a much higher precision than the signal. This assumption is not valid in general. In fact many situations are conceivable where measurement of the apparatus function requires the same effort as measurement of the signal. We have performed a rigorous Bayesian analysis for this general case and present applications to Rutherford backscattering from thin films.

Key words

Deconvolution Inverse Problem Apparatus Function Likelihood Image Processing 

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References

  1. 1.
    R. Fischer, M. Mayer, W. von der Linden, and V. Dose, “Enhancement of the energy resolution in ion-beam experiments with the maximum-entropy method,” Phys. Rev. E, 55, p. 6667, 1997.CrossRefGoogle Scholar
  2. 2.
    R. Fischer, W. von der Linden, and V. Dose, “Adaptive kernels and Occam’s razor in inversion problems,” in MAXENT96 - Proceedings of the Maximum Entropy Conference 1996, M. Sears, V. Nedeljkovic, N. E. Pendock, and S. Sibisi, eds., p. 21, NMB Printers, Port Elizabeth, South Africa, 1996.Google Scholar
  3. 3.
    W. von der Linden, V. Dose, and R. Fischer, “How to separate the signal from the background,” in MAXENT96 - Proceedings of the Maximum Entropy Conference 1996, M. Sears, V. Nedeljkovic, N. E. Pendock, and S. Sibisi, eds., p. 146, NMB Printers, Port Elizabeth, South Africa, 1996.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • V. Dose
    • 1
  • R. Fischer
    • 1
  • W. von der Linden
    • 1
  1. 1.Max-Planck-Institut für PlasmaphysikEURATOM AssociationGarchingGermany

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