1. A novel iterative iso-transmission line empirical material decomposition algorithm for multi-energy photon-counting CT.
- Author
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Zhang, Du, Wu, Bin, Xi, Daoming, Chen, Rui, Xiao, Peng, and Xie, Qingguo
- Subjects
NUMERICAL solutions to equations ,COMPUTED tomography ,NONLINEAR equations ,RELIABILITY in engineering ,MANUFACTURING processes ,IMAGE denoising ,DECOMPOSITION method - Abstract
• Proposed a total-variation constrained iterative iso -transmission line material decomposition algorithm. • Suppress noise amplification while performing basis material decomposition. • Provide superior quantitative imaging accuracy with reduced noise compared with traditional material decomposition methods. Photon-counting computed tomography (PCCT) stands out for its remarkable material distinguishability, presenting a significant advancement over traditional CT. However, noise amplification occurs in decomposed basis material images, attributed to the overlap of energy spectra and the correlation among basis functions. To suppress noise while improving the accuracy of quantitative imaging in material decomposition, this study aims to propose a total-variation constrained iterative iso -transmission line (TVITL) material decomposition algorithm for multi-energy PCCT. The TVITL algorithm transforms the numerical solution of the pixel-by-pixel equations into a matrix operation to holistically solve the basis material decomposition and thus incorporates an image noise penalty weight and a full-variation regularization term for denoising. By effectively integrating direct smoothing information from neighbouring pixels, the algorithm accurately accounts for the noise characteristics, thereby improving the accuracy of quantitative imaging during the material decomposition process. The proposed method was evaluated by comparing it with the traditional non-linear equations (NLE), iso -transmission line (ITL), and A-table methods. We compared the four material decomposition methods in calibration reliability tests and quantitative imaging experiments. The proposed algorithm has higher thickness estimation and quantitative imaging accuracy and the lowest noise standard deviation than the other three algorithms, whether it is a highly noisy simulation experiment with ideal detector response or a real system with distortion of detector response spectrum. Our method can perform spectral CT material decomposition well under simulation and experiment situations. Notably, it excels in noise suppression and exhibits commendable accuracy in material discrimination. [ABSTRACT FROM AUTHOR]
- Published
- 2025
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