Deconvolution Based on Experimentally Determined Apparatus Functions

V. Dose, R. Fischer, W. von der Linden

Research output: Chapter in Book/Report/Conference proceedingOther chapter contributionResearchpeer-review

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.
Original languageEnglish
Title of host publicationMaximum Entropy and Bayesian Methods
EditorsGary J. Erickson, Joshua T. Rychert, C. Ray Smith
PublisherSpringer Netherlands
Pages147-152
Number of pages6
ISBN (Print)978-94-010-6111-7 978-94-011-5028-6
Publication statusPublished - 1998

Publication series

NameFundamental Theories of Physics
PublisherSpringer Netherlands

Fingerprint

ion scattering
backscattering
electron scattering
augmentation
thin films

Keywords

  • Apparatus Function, Artificial Intelligence (incl. Robotics), Coding and Information Theory, Deconvolution, Discrete Mathematics in Computer Science, Image Processing, Inverse Problem, Likelihood, Probability Theory and Stochastic Processes, Statistics, general

Cite this

Dose, V., Fischer, R., & Linden, W. V. D. (1998). Deconvolution Based on Experimentally Determined Apparatus Functions. In G. J. Erickson, J. T. Rychert, & C. R. Smith (Eds.), Maximum Entropy and Bayesian Methods (pp. 147-152). (Fundamental Theories of Physics). Springer Netherlands.

Deconvolution Based on Experimentally Determined Apparatus Functions. / Dose, V.; Fischer, R.; Linden, W. von der.

Maximum Entropy and Bayesian Methods. ed. / Gary J. Erickson; Joshua T. Rychert; C. Ray Smith. Springer Netherlands, 1998. p. 147-152 (Fundamental Theories of Physics).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contributionResearchpeer-review

Dose, V, Fischer, R & Linden, WVD 1998, Deconvolution Based on Experimentally Determined Apparatus Functions. in GJ Erickson, JT Rychert & CR Smith (eds), Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, Springer Netherlands, pp. 147-152.
Dose V, Fischer R, Linden WVD. Deconvolution Based on Experimentally Determined Apparatus Functions. In Erickson GJ, Rychert JT, Smith CR, editors, Maximum Entropy and Bayesian Methods. Springer Netherlands. 1998. p. 147-152. (Fundamental Theories of Physics).
Dose, V. ; Fischer, R. ; Linden, W. von der. / Deconvolution Based on Experimentally Determined Apparatus Functions. Maximum Entropy and Bayesian Methods. editor / Gary J. Erickson ; Joshua T. Rychert ; C. Ray Smith. Springer Netherlands, 1998. pp. 147-152 (Fundamental Theories of Physics).
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