论文标题

高频残基:一组新的信号,用于X射线成像系统的可检测性研究

High frequency residues: a new set of signals for detectability studies of an X-ray imaging system

论文作者

González-López, Antonio

论文摘要

提出了一组新的用于研究X射线成像系统可检测性的信号。这些信号获得的结果旨在补充NEQ结果。信号是通过逐渐消除其较低频率分量的线扩散曲线产生的,而所得的高频残基(HFRS)形成了用于可检测性研究的信号集。这些HFRS的可检测性指数是使用非偏好(NPW)观察者获得的,并使用一系列边缘图像获得HFRS,NPW模型所需的协方差矩阵以及NEQ计算中使用的MTF和NPS所需的协方差矩阵。通过模拟边缘图像的模糊和采样过程来获得模型中使用的模板。使用不同的束质量和剂量对HFRS和NEQ的可检测性指数进行比较。使用HFRS可检测性指数显示的相对灵敏度高于NEQ,尤其是在较低剂量下。同样,不同的观察者在高剂量下产生不同的结果:虽然由NEQ使用的理想贝叶斯观察者区分了束质量,但与HFRS一起使用的NPW在它们之间没有差异。 HFR中使用的DELTA函数在空间和频域中的支持方面与复杂的指数函数相反。由于NEQ可以解释为这些复杂的指数函数的可检测性,因此HFRS的可检测性被视为对成像系统性能评估中NEQ的自然补充。

A new set of signals for studying detectability of an x-ray imaging system is presented. The results obtained with these signals are intended to complement the NEQ results. The signals are generated from line spread profiles by progressively removing their lower frequency components and the resulting high frequency residues (HFRs) form the set of signals to be used in detectability studies. Detectability indexes for these HFRs are obtained using a non-prewhitening (NPW) observer and a series of edge images are used to obtain the HFRs, the covariance matrices required by the NPW model and the MTF and NPS used in NEQ calculations. The template used in the model is obtained by simulating the processes of blurring and sampling of the edge images. Comparison between detectability indexes for the HFRs and NEQ are carried out for different acquisition techniques using different beam qualities and doses. The relative sensitivity shown by detectability indexes using HFRs is higher than that of NEQ, especially at lower doses. Also, the different observers produce different results at high doses: while the ideal Bayesian observer used by NEQ distinguishes between beam qualities, the NPW used with the HFRs produces no differences between them. Delta functions used in HFR are the opposite of complex exponential functions in terms of their support in the spatial and frequency domains. Since NEQ can be interpreted as detectability of these complex exponential functions, detectability of HFRs is presented as a natural complement to NEQ in the performance assessment of an imaging system.

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