Efficient Bandwidth Estimation in 2D Filtered Backprojection Reconstruction

Date
2019-11-01
Authors
Maitra, Ranjan
Major Professor
Advisor
Committee Member
Journal Title
Journal ISSN
Volume Title
Publisher
Altmetrics
Authors
Research Projects
Organizational Units
Statistics
Organizational Unit
Journal Issue
Series
Department
Statistics
Abstract

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.

Comments

This is a manuscript of an article published as Maitra, Ranjan. "Efficient Bandwidth Estimation in 2D Filtered Backprojection Reconstruction." IEEE Transactions on Image Processing 28, no. 11 (2019): 5610-5619. DOI: 10.1109/TIP.2019.2919428. Posted with permission.

Description
Keywords
Citation
DOI
Collections