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Linear Inversion by the Maximum Entropy Method with Specific Non-Trivial Prior Information

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Maximum Entropy and Bayesian Methods

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 39))

Abstract

Here we present the MaxEnt solution of an inverse problem in scattering physics, the recovery of a nuclear charge density from noisy and incomplete measurements of its Fourier transform. Prior information on the charge density is used to motivate a Fourier-Bessel expansion and in addition to restrict the space of feasible reconstructions sufficiently to produce a convergent error estimate.

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© 1990 Kluwer Academic Publishers

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Macaulay, V.A., Buck, B. (1990). Linear Inversion by the Maximum Entropy Method with Specific Non-Trivial Prior Information. In: Fougère, P.F. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0683-9_16

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  • DOI: https://doi.org/10.1007/978-94-009-0683-9_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6792-8

  • Online ISBN: 978-94-009-0683-9

  • eBook Packages: Springer Book Archive

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