强激光与粒子束2025，Vol.37Issue(5)：119-131,13.DOI:10.11884/HPLPB202537.240326
单视角CT非线性图像重建不确定度量化研究
Research on uncertainty quantification of single-view CT nonlinear image reconstruction
唐志鹏 1管永红 1景越峰1
作者信息
- 1. 中国工程物理研究院流体物理研究所,四川 绵阳 621900
- 折叠
摘要
Abstract
Flash radiography enables the diagnosis of rapid physical processes,yet the instantaneous nature of image acquisition results in a severely limited number of projections.This study investigates uncertainty quantification methods for computed tomography(CT)image reconstruction under the typical scenario of a single projection view.Current approaches for single-view CT uncertainty quantification often adopt oversimplified physical models,assuming linearized optical path equations with Gaussian noise.To address this limitation,we derive a more realistic nonlinear reconstruction framework based on the Lambert-Beer's law,constructing an exponential attenuation model for transmittance with an integrated Gaussian noise term.This formulation yields a nonlinear posterior probability density function,which is subsequently sampled using the Randomize-Then-Optimize(RTO)algorithm combined with Gibbs sampling.The reconstructed image and its associated uncertainty are obtained through statistical analysis of the sampled data.Numerical simulations validate the proposed method,with comparative results against conventional linearized models demonstrating its superior potential for accurate uncertainty estimation in image reconstruction.关键词
非线性图像重建/单视角CT/不确定度量化/贝叶斯推理/马尔可夫链蒙特卡罗Key words
nonlinear image reconstruction/single-view CT/uncertainty quantization/Bayesian inference/Markov chain Monte Carlo分类
信息技术与安全科学引用本文复制引用
唐志鹏,管永红,景越峰..单视角CT非线性图像重建不确定度量化研究[J].强激光与粒子束,2025,37(5):119-131,13.
