论文标题
量化最大后验估计值的空间分辨率线性,等级缺陷,贝叶斯硬性层造影
Quantifying the spatial resolution of the maximum a posteriori estimate in linear, rank-deficient, Bayesian hard field tomography
论文作者
论文摘要
基于图像的诊断是在空间分辨率的背景下解释的。断层图像重建也是如此。当前以经验驱动的方法来量化空间分辨率的方法依赖于基于点扩展功能的确定性公式,该函数忽略了统计先验信息,这对于缺乏等级的断层扫描不可或缺。我们根据重建的协方差(点估计)提出了一项统计空间分辨率度量,并表明先前的信息是空间分辨率的下限。此外,可以采用空间分辨率度量来设计正在考虑空间分辨率的空间不均匀性的层析成像系统。
Image based diagnostics are interpreted in the context of spatial resolution. The same is true for tomographic image reconstruction. Current empirically driven approaches to quantify spatial resolution rely on a deterministic formulation based on point-spread functions which neglect the statistical prior information, that is integral to rank-deficient tomography. We propose a statistical spatial resolution measure based on the covariance of the reconstruction (point estimate) and show that the prior information acts as a lower limit for the spatial resolution. Furthermore, the spatial resolution measure can be employed for designing tomographic systems under consideration of spatial inhomogeneity of spatial resolution.