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Differential SART for sub-Nyquist tomographic reconstruction in presence of misalignments

: Römer, Florian; Großmann, Marcus; Schoen, Tobias; Gruber, Roland; Jung, Alexander; Oeckl, Steven; Galdo, Giovanni del


European Association for Signal Processing -EURASIP-; Institute of Electrical and Electronics Engineers -IEEE-; IEEE Signal Processing Society:
25th European Signal Processing Conference, EUSIPCO 2017 : 27 August - 2 September 2017, Kos Island, Greece
Piscataway, NJ: IEEE, 2017
ISBN: 978-0-9928626-7-1
ISBN: 978-0-9928626-8-8
ISBN: 978-1-5386-0751-0
European Signal Processing Conference (EUSIPCO) <25, 2017, Kos>
Fraunhofer IIS ()
compressed sensing

In this paper we study tomographic reconstruction methods in the case that prior knowledge about the object is available. In particular, we consider the case that a reference object that is similar in shape and orientation is available, which is very common in non-destructive testing applications. We demonstrate that a differential version of existing reconstruction methods can easily be derived which reconstructs only the deviation between test and reference object. Since this difference volume is significantly more sparse, the differential reconstruction can be implemented very efficiently. We also discuss the case where knowledge about the misalignment between test and reference object is available, in which case the efficiency of the differential reconstruction can be improved even further. The resulting algorithm is faster, more accurate, and less sensitive to the choice of the step size parameters and regularization than state of the art reconstruction methods.