JOURNAL OF COMPUTERS (JCP)

ISSN : 1796-203X

Volume : 2 Issue : 6 Date : August 2007

**A Simple Algorithm for Defect Detection From a Few Radiographies**

Lionel Fillatre, Igor Nikiforov, and Florent Retraint

Page(s): 26-34

Full Text: PDF (5,283 KB)

**Abstract**

The paper concerns the radiographic nondestructive testing of well-manufactured objects. The

detection of anomalies is addressed from the statistical point of view as a binary hypothesis testing

problem with nonlinear nuisance parameters. A new simple and numerically stable detection

scheme is proposed as an alternative to the conventional generalized likelihood ratio test which

becomes untractable in the non-linear case. This original decision rule detects the anomalies with

a loss of a negligible part of optimality with respect to an optimal test designed for the “closest”

hypothesis testing problem with linear nuisance parameters. The inspection of nuclear fuel rods is

discussed to illustrate the relevance of the proposed theoretical solution.

**Index Terms**

Anomaly detection, Parametric tomography, Statistical hypotheses testing, Nuisance parameter,

Nondestructive testing.

ISSN : 1796-203X

Volume : 2 Issue : 6 Date : August 2007

Page(s): 26-34

Full Text: PDF (5,283 KB)

detection of anomalies is addressed from the statistical point of view as a binary hypothesis testing

problem with nonlinear nuisance parameters. A new simple and numerically stable detection

scheme is proposed as an alternative to the conventional generalized likelihood ratio test which

becomes untractable in the non-linear case. This original decision rule detects the anomalies with

a loss of a negligible part of optimality with respect to an optimal test designed for the “closest”

hypothesis testing problem with linear nuisance parameters. The inspection of nuclear fuel rods is

discussed to illustrate the relevance of the proposed theoretical solution.

Nondestructive testing.