Bayesian methods in nondestructive testing
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Nondestructive testing is often used to make measurements. From the measurements, one infers quantities of interest. If the questions of interest were first phrased in terms of Bayes's theorem, then the processing of the information would reveal the answers directly. Furthermore, by focusing on questions of interest the desired measurements to be taken would be evident. Examples given to illustrate the method are (1) locating a current carrying wire, (2) finding the location of a magnet which is used to tag the movement of soil and (3) detecting the presence of horizontal pipes (or horizontal conducting structures). Each method uses a model or template of the anticipated results to evaluate the item of interest. In all cases, Bayes's theorem is used to answer the question, What is the probability that the question asked is true?