量化线性秩亏贝叶斯硬场层析成像中最大后验估计的空间分辨率
Quantifying the spatial resolution of the maximum a posteriori estimate in linear, rank-deficient, Bayesian hard field tomography
摘要：
基于图像的诊断在空间分辨率的上下文中被解释。对于断层摄影图像重建也是如此。目前的经验驱动的方法来量化空间分辨率依赖于一个确定性的配方的基础上点扩散函数忽略了统计先验信息，这是不可或缺的秩缺陷断层扫描。我们提出了一个统计的空间分辨率的重建（点估计）的协方差的基础上的措施，并表明先验信息作为空间分辨率的下限。此外，在考虑空间分辨率的空间不均匀性的情况下，可以采用空间分辨率度量来设计层析系统。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
