This paper develops a methodology of finding the probability of the grid traversing an elliptical target of a specified size when a rectangular grid is used for sampling and the transects have a specified width. This probability can then be used to determine the parameters of the rectangular grid that is necessary to find a specified elliptical target with a specified probability. This methodology was developed for the situation in which a nondestructive assay device such as a magnetometer or ground penetrating radar is used to pass over the transects of a rectangular grid looking for elliptically shaped clusters of shrapnel that may indicate the existence of unexploded ordnance (UXO).
Revised: October 9, 2009 |
Published: April 29, 2002