Campus Units

Statistics

Document Type

Article

Publication Version

Accepted Manuscript

Publication Date

11-2019

Journal or Book Title

IEEE Transactions on Image Processing

Volume

28

Issue

11

First Page

5610

Last Page

5619

DOI

10.1109/TIP.2019.2919428

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.

Rights

© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Copyright Owner

IEEE

Language

en

File Format

application/pdf

Published Version

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