Linear Inversion by the Maximum Entropy Method with Specific Non-Trivial Prior Information
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.
KeywordsForm Factor Charge Density Maximum Entropy Error Band Linear Inversion
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- Jaynes E T 1988 The Relation of Bayesian and Maximum Entropy Methods Maximum-Entropy and Bayesian Methods in Science and Engineering (Volume 1) Erickson G J and Smith C R (eds.) (Dordrecht: Kluwer) 25–29Google Scholar
- Macaulay V A and Buck B 1989 Linear Inversion by the Method of Maximum Entropy Inverse Problems (in press)Google Scholar