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Detectability of anomalies from a few noisy tomographic projections

Abstract : The problem of detecting an anomaly from a limited number of noisy tomographic projections is addressed from the statistical point of view. An unknown two (or three)-dimensional scene is composed of a background, considered as a nuisance parameter, with a possibly hidden anomaly. A parametric approach is proposed to reduce the lack of a priori information and an optimal test is designed. To decide between two hypotheses (absence or presence of the anomaly), the statistical test eliminates the background, which can hide the anomaly. New results on anomaly detectability are proposed and discussed in this paper. It is shown that a size-limited anomaly is better detectable with several projections.
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https://hal-utt.archives-ouvertes.fr/hal-02883993
Contributor : Jean-Baptiste Vu Van <>
Submitted on : Monday, June 29, 2020 - 3:47:21 PM
Last modification on : Tuesday, June 30, 2020 - 3:33:08 AM

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Lionel Fillatre, Florent Retraint, Igor Nikiforov. Detectability of anomalies from a few noisy tomographic projections. 16th IFAC World Congress, Jul 2005, Prague, Czech Republic. pp.1029-1034, ⟨10.3182/20050703-6-CZ-1902.00173⟩. ⟨hal-02883993⟩

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