Invited to present ``Unmanned Aerial Vehicle-Based Remote Sensing for Detecting Minefields'' at the Eastern North American Region (ENAR) of the International Biometric Society annual meeting, Charlotte, NC, March 2001. Session Organizer: Ron McRoberts AUTHOR: Carey E. Priebe & Daniel Q. Naiman CONTACT: Carey E. Priebe Johns Hopkins University Department of Mathematical Sciences Baltimore, MD 21218-2682 tel: (410) 516-7200 e-mail: cep@jhu.edu TITLE: Unmanned Aerial Vehicle-Based Remote Sensing for Detecting Minefields ABSTRACT: Minefield reconnaissance via unmanned aerial vehicle is an important problem currently receiving much attention in the engineering and scientific literature. Multispectral imagery of an area of interest is processed. First, potential mines are located with a mine detection algorithm. The detector produces a binary detection map such that D(x)=1 for all points in the image domain subset at which a mine or minelike object is detected. Categorizing the candidate detections into `true targets' (mines) and `false targets' (minelike objects, debris, noise, etc.) and considering an operational imperative imposed on the mine detector to find (nearly) all true targets, it can be expected that the number of false targets in the detection map will be relatively high. Among the most promising approaches to the minefield detection problem are statistical methods which consider the map of candidate detections to be a realization of a spatial point process. These methods proceed by analyzing the detection map for clustering or regularity to determine if it represents a minefield point pattern buried in noise, or noise alone. It is common to consider the detection of clustering in point processes as a formal hypothesis test, with the null hypothesis represented by homogeneity, or complete spatial randomness. For the minefield detection application, in which minefields and false detections are modeled as point processes, the null hypothesis is `no minefield.' While there are cases for which regularity patterns in the observed point process can be used as a key to minefield detection, other applications do not allow for this restriction of the alternative hypothesis of `minefield present'. It is these latter situations, in which minefield detection becomes a test of homogeneity against a more general alternative of nonhomogeneity, that we address here.