Correcting statistical CT number biases without access to raw detector counts: Applications to high spatial resolution photon counting CT imaging

Abstract

BackgroundDue to the nonlinear nature of the logarithmic operation and the stochastic nature of photon counts (N), sinogram data of photon counting detector CT (PCD‐CT) are intrinsically biased, which leads to statistical CT number biases. When raw counts are available, nearly unbiased statistical estimators for projection data were developed recently to address the CT number bias issue. However, for most clinical PCD‐CT systems, users' access to raw detector counts is limited. Therefore, it remains a challenge for end users to address the CT number bias issue in clinical applications.PurposeTo develop methods to correct statistical biases in PCD‐CT without requiring access to raw PCD counts.Methods(1) The sample variance of air‐only post‐log sinograms was used to estimate air‐only detector counts, . (2) If the post‐log sinogram data, y, is available, then N of each detector pixel was estimated using . Once N was estimated, a closed‐form analytical bias correction was applied to the sinogram. (3) If a patient's post‐log sinogram data are not archived, a forward projection of the bias‐contaminated CT image was used to perform a first‐order bias correction. Both the proposed sinogram domain‐ and image domain‐based bias correction methods were validated using experimental PCD‐CT data.ResultsExperimental results demonstrated that both sinogram domain‐ and image domain‐based bias correction methods enabled reduced‐dose PCD‐CT images to match the CT numbers of reference‐standard images within [‐5, 5] HU. In contrast, uncorrected reduced‐dose PCD‐CT images demonstrated biases ranging from ‐25 to 55 HU, depending on the material. No increase in image noise or spatial resolution degradation was observed using the proposed methods.ConclusionsCT number bias issues can be effectively addressed using the proposed sinogram or image domain method in PCD‐CT, allowing PCD‐CT acquired at different radiation dose levels to have consistent CT numbers desired for quantitative imaging.

Experimental measurement of local noise power spectrum (NPS) in photon counting detector‐CT (PCD‐CT) using a single data acquisition

“…However, at extremely low exposure levels, the photon count at a detector element can be in single digits, rendering this leading-order approximation potentially inadequate. In such cases, it may be beneficial to include higher-order contributions and address potential zero counts, as recently demonstrated in CT number bias correction [55][56][57][58] by our research group. These advanced methods can significantly reduce the statistical bias of the estimator, resulting in an estimator that is almost free of statistical bias.…”

“…This method has been rigorously explored in our previous studies, especially in efforts to rectify CT number bias. [55][56][57][58]…”