Tomographic reconstruction by maximum entropy in the mean: unconstrained reconstructions

Authors:
Henryk Gzyl
Affiliations:
Depto. Computo Cienti. y Estadistica, Universidad Simon Bolivar, A. P. 89000, Caracas 1080-A, Venezuela
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 2
Cited 0

Sets uniquely determined by projections on Axes I. continuous case

SIAM Journal on Applied Mathematics
A maxentropic procedure for reconstructing a distribution from its marginals

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.48

Visualization

Abstract

In this note we present a solution to the tomographic reconstruction problem using the method of maximum entropy in the mean. When there are no convex constraints on the solution, the Hilbert setup combined with a Gaussian a priori measure on the Hilbert space yields solutions which resemble back projections or reconstructions by ridge functions.