This article is part of the series Advances in Intelligent Vision Systems: Methods and Applications—Part II.

Open Access Research Article

A Statistical Detection of an Anomaly from a Few Noisy Tomographic Projections

Lionel Fillatre* and Igor Nikiforov

Author Affiliations

ISTIT, FRE CNRS 2732, Université de Technologie de Troyes, 12 rue Marie Curie, BP 2060, Troyes Cedex 10010, France

For all author emails, please log on.

EURASIP Journal on Advances in Signal Processing 2005, 2005:620167 doi:10.1155/ASP.2005.2215


The electronic version of this article is the complete one and can be found online at: http://asp.eurasipjournals.com/content/2005/14/620167


Received:1 January 2004
Revisions received:19 November 2004
Published:25 August 2005

© 2005 Fillatre and Nikiforov

The problem of detecting an anomaly/target from a very limited number of noisy tomographic projections is addressed from the statistical point of view. The imaged object is composed of an environment, considered as a nuisance parameter, with a possibly hidden anomaly/target. The GLR test is used to solve the problem. When the projection linearly depends on the nuisance parameters, the GLR test coincides with an optimal statistical invariant test.

Keywords:
statistical hypotheses testing; (non)linear parametric model; nuisance parameter; invariant tests; missing observations; computerized tomography

Research Article