Three problems of emission discrete tomography (EDT) are presented. The first problem is the reconstruction of measurable plane sets from two absorbed projections. It is shown that Lorentz theorems can be generalized to this case. The second is the reconstruction of binary matrices from their absorbed row and columns sums if the absorption coefficient is μ0 = log((1+v^{/}5)/2). It is proved that the reconstruction in this case can be done in polynomial time. Finally, a possible application of EDT in single photon emission computed tomography (SPECT) is presented: Dynamic structures are reconstructed after factor analysis.

1 aBarcucci, Elena1 aFrosini, Andrea1 aKuba, Attila1 aNagy, Antal1 aRinaldi, Simone1 aSamal, Martin1 aZopf, Steffen1 aHerman, Gábor T1 aKuba, Attila uhttps://www.inf.u-szeged.hu/publication/emission-discrete-tomography00550nas a2200157 4500008004100000020001400041245007400055210006900129260000900198300001400207490000700221100001600228700001700244700001800261856011300279 2005 eng d a1571-065300aReconstruction of factor structures using discrete tomography method.0 aReconstruction of factor structures using discrete tomography me c2005 a519 - 5340 v201 aNagy, Antal1 aKuba, Attila1 aSamal, Martin uhttps://www.inf.u-szeged.hu/publication/reconstruction-of-factor-structures-using-discrete-tomography-method