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Signal-to-Noise Frequency Analysis of CT Systems

A theory is presented which analyzes the performance of a computerized tomography system as a detection system given the detector geometry, optics, and reconstruction algorithms. The algorithmic effects are seperated from the intrinsic signal-to-noise frequency characteristics of the acquired data. This allows one to: (1) Compare the potential image quality that can be achieved by different CT systems independent of the reconstruction algorithm applied. (2) Predict the performance of new detector configurations. (3) Design the appropriate reconstruction algorithms to achieve the desired clinical results on a given scanner. Examples will be given of how different detector geometries can be compared using this theory and how specific reconstruction filters can be designed given both the scanner characteristics and desired image quality parameters.