Discrete Tomography
Tomography is the area of reconstructing objects from projections. In discrete tomography, an object T we wish to reconstruct is a set of cells of a multidimensional grid. We perform measurements of T, each one involving a projection that determines the number of cells in T on all lines parallel to the projection's direction. Given a finite number of such measurements, we wish to reconstruct T or, if unique reconstruction is not possible, to compute any object consistent with these projections.