1. A method of reconstructing structures of a part from N linear pushbroom (LPB) projection images, where N is greater than 1, given the mapping matrices M.sub.j for each of the projection images j=1. .. N comprising the steps of: a) acquiring a plurality of linear pushbroom images at different angles about an axis of rotation passing through the part; b) selecting a first set of screen coordinates (u.sub.1,v.sub.1) having an intensity I of a first projection image being part of a feature desired to be reconstructed; c) creating a first ray passing through the selected screen coordinate and through a center of projection; d) multiplying a plurality of points along the ray by the matrix M.sub.j to result in substantially a hyperbola on a second projection image; e) correlating intensities along the hyperbola to intensity I to determine a second set of screen coordinates (u.sub.2,v.sub.2) on the second projection image where the hyperbola intersects the selected structure, the second set of screen coordinates (u.sub.2,v.sub.2) corresponding to the same point on said part as the first set of screen coordinates (u.sub.1,v.sub.1) f) creating a second ray passing through the second set of screen coordinates (u.sub.2,v.sub.2) and through a center of projection; g) identifying a 3D location where the rays intersect as the reconstructed point; and h) repeating steps "b"-"g" for a plurality of points on the desired feature; and i) displaying the 3D reconstructed point to result in a reconstructed 3D structure.