See related article, pp. 405-412With the advent of fast Lutetium-based scintillation crystals, time-of-flight (TOF) positron emission tomography (PET) became a clinical reality. Although the crystals are still not fast enough to let us simply put photons back where they came from, incorporation of TOF information into the reconstruction of PET images has led to a substantial gain in signal-to-noise ratio (SNR), particularly for larger patients. The benefits of TOF have been shown with numerous oncology studies but there has been, to date, little evidence regarding TOF in cardiac studies. In this issue of the Journal of Nuclear Cardiology, Armstrong et al. investigate the SNR gain from TOF in cardiac viability imaging with FDG PET. 1 TOF works by evaluating the difference in the arrival time of the two coincidence gamma rays. Because the speed of light (c) is constant and finite, the difference in arrival times can be translated into a distance (x) from the center of the line-of-response (LOR) ( Figure 1A). With this information, the location of the annihilation event can be determined by the difference in arrival times of the two annihilation photons (t i ). The distance a photon travels (d i ) in time t i is given by d i = t i 9 c. Therefore,and the uncertainty in the position x (r x ) are given bywhere r Dt is the timing resolution of the scanner.If the timing resolution was perfect, we would not even need to do a reconstruction because we could just put each detected count back at its point of origin. However, the timing resolution is not perfect. With BGO crystals, the typical timing resolution is on the order of 5 ns, which translates into a spatial resolution of about 75 cm. In this case, TOF does not add much information because the position uncertainty is larger than the bore size of the scanner. However, with the Lutetium-based scintillators, timing resolution is on the order of 500 ps and so the corresponding uncertainty in the position of the annihilation event is only 7.5 cm. Now, when we go to reconstruct the image, the probability of an event's location is not spread evenly over the entire LOR, but it is instead confined to a small portion of the line-a Gaussian probability with a full-width at half-maximum equal to the spatial positioning uncertainty ( Figure 1B). One of the benefits of TOF is that reducing the uncertainty in where each event is located results in a reduction in the propagation of noise along each LOR. The influence of each count is restricted spatially and so the noise from distant objects in the field of view (FOV) is no longer present. Lower noise means a higher SNR.The increase in SNR from TOF PET has been recognized for some time. In 1983, Budinger 2 described the relationship and showed that the gain in SNR should be approximately equal towhere µD is the diameter of a uniform cylinder. The use of a non-linear iterative reconstruction algorithm instead of filtered backprojection, as well as other factors, can alter the SNR 3 and so the gain in SNR from TOF is not quite as hig...