Efficient Bandwidth Estimation in 2D Filtered Backprojection Reconstruction
| Autor: | Ranjan Maitra |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Radon transform
Computer science Bandwidth (signal processing) 02 engineering and technology Filter (signal processing) Iterative reconstruction Reconstruction filter Computer Graphics and Computer-Aided Design Matrix decomposition Singular value decomposition 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Tomography Algorithm Circulant matrix Software Eigendecomposition of a matrix |
| Zdroj: | IEEE Transactions on Image Processing. 28:5610-5619 |
| ISSN: | 1941-0042 1057-7149 |
| DOI: | 10.1109/tip.2019.2919428 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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