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.

%B ADVANCES IN DISCRETE TOMOGRAPHY AND ITS APPLICATIONS %S Applied and Numerical Harmonic Analysis %I Birkhauser Boston %C Cambridge %P 333 - 366 %8 2007 %@ 978-0-8176-3614-2 %G eng %9 Book chapter %R 10.1007/978-0-8176-4543-4_15 %0 Journal Article %J ELECTRONIC NOTES IN DISCRETE MATHEMATICS %D 2005 %T Reconstruction of factor structures using discrete tomography method. %B ELECTRONIC NOTES IN DISCRETE MATHEMATICS %V 20 %P 519 - 534 %8 2005 %@ 1571-0653 %G eng %N 1 %! ELECTRON NOTES DISCRETE MATH