La théorie statistique de la décision: application à l'étude du rapport signal sur bruit en tomographie d'émission monophotoniqueStatistical decision theory: application to the study of signal to noise ratio in single photon emission tomography

The statistical decision theory (SDT) is applied in all direct imaging modalities. The detection stage can be quantified exactly from the ideal observer concept. The ideal observer depend on the noise power spectrum (NPS). An expression of NPS in single photon emission tomography (SPECT) of the uncertainty over the number of counts is derived in order to estimate the noise and the signal to noise ratio (SNR). The reconstruction algorithm is the method of back-projection of filtered projection. It is shown that derived expressions of noise and SNR compare well with expressions derived from classical approaches. So, we can affirm that the SDT can be considered in tomography (indirect imaging).