TY - CHAP T1 - Emission discrete tomography. T2 - ADVANCES IN DISCRETE TOMOGRAPHY AND ITS APPLICATIONS Y1 - 2007 A1 - Elena Barcucci A1 - Andrea Frosini A1 - Attila Kuba A1 - Antal Nagy A1 - Simone Rinaldi A1 - Martin Samal A1 - Steffen Zopf ED - Gábor T Herman ED - Attila Kuba AB -

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.

 

JF - ADVANCES IN DISCRETE TOMOGRAPHY AND ITS APPLICATIONS T3 - Applied and Numerical Harmonic Analysis PB - Birkhauser Boston CY - Cambridge SN - 978-0-8176-3614-2 N1 - doi: 10.1007/978-0-8176-4543-4_15 ER -