Quantifying the spatial resolution of the maximum a posteriori estimate in linear, rank-deficient, Bayesian hard field tomography

Autor:	Emmert, Johannes, Wagner, Steven, Daun, Kyle J.
Rok vydání:	2020
Předmět:	Electrical Engineering and Systems Science - Image and Video Processing Physics - Data Analysis Statistics and Probability
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6501/abb550
Popis:	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. Comment: 19 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.12846 Zobrazit plný text záznamu View this record from Arxiv