Confidence regions for images observed under the Radon transform

Journal of Multivariate Analysis, pp. 86-107, 2014.

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Abstract:

Recovering a function f from its integrals over hyperplanes (or line integrals in the two-dimensional case), that is, recovering f from the Radon transform Rf of f, is a basic problem with important applications in medical imaging such as computerized tomography (CT). In the presence of stochastic noise in the observed function Rf, we sha...More

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