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

Emmert, Johannes ; Wagner, Steven ; Daun, Kyle J. (2021)
Quantifying the spatial resolution of the maximum a posteriori estimate in linear, rank-deficient, Bayesian hard field tomography.
In: Measurement Science and Technology, 2021, 32 (2)
doi: 10.26083/tuprints-00019337
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Quantifying the spatial resolution of the maximum a posteriori estimate in linear, rank-deficient, Bayesian hard field tomography
Language: English
Date: 23 August 2021
Place of Publication: Darmstadt
Year of primary publication: 2021
Publisher: IOP Publishing
Journal or Publication Title: Measurement Science and Technology
Volume of the journal: 32
Issue Number: 2
Collation: 10 Seiten
DOI: 10.26083/tuprints-00019337
Corresponding Links:
Origin: Secondary publication via sponsored Golden Open Access
Abstract:

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 in chemical species tomography 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). By demonstrating the resolution measure on a chemical species tomography test case, we 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.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-193374
Additional Information:

Keywords: resolution, tomography, bayesian inference, absorption spectroscopy, spatial resolution

Classification DDC: 600 Technology, medicine, applied sciences > 600 Technology
Divisions: 16 Department of Mechanical Engineering > Institute of Reactive Flows and Diagnostics (RSM)
Date Deposited: 23 Aug 2021 12:16
Last Modified: 14 Nov 2023 19:03
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19337
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