Efficient Bandwidth Estimation in 2D Filtered Backprojection Reconstruction

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dc.contributor.author Maitra, Ranjan
dc.contributor.department Statistics
dc.date 2020-06-22T21:48:47.000
dc.date.accessioned 2020-07-02T06:56:58Z
dc.date.available 2020-07-02T06:56:58Z
dc.date.copyright Tue Jan 01 00:00:00 UTC 2019
dc.date.issued 2019-11-01
dc.description.abstract <p>A generalized cross-validation approach to estimate the reconstruction filter bandwidth in 2D filtered backprojection is presented. The method writes the reconstruction equation in equivalent backprojected filtering form, derives results on eigendecomposition of symmetric 2D circulant matrices, and applies them to make bandwidth estimation a computationally efficient operation within the context of standard backprojected filtering reconstruction. Performance evaluations on a range of simulated emission tomography experiments give promising results. The superior performance holds at both low and high total expected counts, pointing to the method's applicability even in weak signal-to-noise-ratio situations. The approach also applies to the more general class of elliptically symmetric filters, with the reconstructed estimate's performance often better than even that obtained with the true optimal radially symmetric filter.</p>
dc.description.comments <p>This is a manuscript of an article published as Maitra, Ranjan. "Efficient Bandwidth Estimation in 2D Filtered Backprojection Reconstruction." <em>IEEE Transactions on Image Processing</em> 28, no. 11 (2019): 5610-5619. DOI: <a href="https://doi.org/10.1109/TIP.2019.2919428" target="_blank">10.1109/TIP.2019.2919428</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/stat_las_pubs/173/
dc.identifier.articleid 1175
dc.identifier.contextkey 14455802
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath stat_las_pubs/173
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/90480
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/stat_las_pubs/173/2018_MaitraRanjan_EfficientBandwidth.pdf|||Fri Jan 14 21:20:12 UTC 2022
dc.source.uri 10.1109/TIP.2019.2919428
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Backprojected filtering
dc.subject.keywords circulant matrix
dc.subject.keywords FORE
dc.subject.keywords generalized cross-validation
dc.subject.keywords Radon transform
dc.subject.keywords risk-unbiased estimation
dc.subject.keywords singular value decomposition
dc.subject.keywords split violinplot
dc.title Efficient Bandwidth Estimation in 2D Filtered Backprojection Reconstruction
dc.type article
dc.type.genre article
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca
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