We formerly introduced a new image reconstruction method for three-dimensional positron emission tomography, which is based upon pairs of near-missing lines of response. This method uses an elementary geometric property of lines of response, namely that two lines of response which originate from radioactive isotopes located within a sufficiently small voxel, will lie within a few millimeters of each other. The effectiveness of this method was verified by performing a simulation using GATE software and a digital Hoffman phantom. (c) 2006 Elsevier B.V. All rights reserved.