Optimized analytic reconstruction for SPECT

Jean-Pol Guillement (1) , Roman Novikov (2)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We develop optimized analytic reconstruction for the single-photon emission computed tomography (SPECT). This reconstruction is based on : (1) Novikov's exact and Chang's approximate inversion formulas for the attenuated ray transform, (2) filtering techniques, and (3) Morozov type discrepancy principle. Our numerical examples include comparisons with the standard least square and expectation maximization iterative SPECT reconstructions.

Domaines: Analyse numérique [math.NA]

Jean-Pol Guillement, Roman Novikov. Optimized analytic reconstruction for SPECT. Journal of Inverse and Ill-posed Problems, 2012, 20 (4), pp.489-500. ⟨hal-00662909⟩