Abstract
Multi-energy CT conducted by photon-counting detectors has a wide range of applications, especially in multiple contrast agent imaging. However, multi-energy CT imaging suffers from higher statistical noise because of increased energy bin numbers. Our team has proposed the dynamic dual-energy CT imaging mode and the corresponding iterative imaging algorithms to solve this problem. The multi-energy projections and reconstructions calculated from the dynamic dual-energy CT data are less noisy than the static multi-energy CT, which has been verified by sufficient numerical simulations and experiments. However, a rigorous mathematical derivation has not been conducted to explain why dynamic dual-energy CT is better than static multi-energy CT in reducing statistical noise. In this work, we drive the noise model of the dynamic dual-energy CT to explain the reason. The reason is: compared to the multi-energy projections that are directly measured from a static multi-energy CT, the multi-energy projections, which are calculated from the dynamic dual-energy CT data, have the same expectation, but the variance is lower.
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