Undersampled dynamic X-ray tomography with dimension reduction Kalman filter

Janne Hakkarainen; Zenith Purisha; Antti Solonen; Samuli Siltanen

doi:10.1109/TCI.2019.2896527

Undersampled dynamic X-ray tomography with dimension reduction Kalman filter

Janne Hakkarainen, Zenith Purisha, Antti Solonen, Samuli Siltanen

Department of Electrical Engineering and Automation

Research output: Contribution to journal › Article › Scientific › peer-review

Abstract

In this paper, we propose prior-based dimension reduction Kalman filter for undersampled dynamic X-ray tomography. With this method, the X-ray reconstructions are parameterized by a low-dimensional basis. Thus, the proposed method is a) computationally very light; and b) extremely robust as all the computations can be done explicitly. With real and simulated measurement data, we show that the method provides accurate reconstructions even with very limited number of angular directions.

Original language	English
Pages (from-to)	492-501
Number of pages	10
Journal	IEEE Transactions on Computational Imaging
Volume	5
Issue number	3
DOIs	https://doi.org/10.1109/TCI.2019.2896527
Publication status	Published - 2019
MoE publication type	A1 Journal article-refereed

Keywords

covariance matrices
dimensionality reduction
Kalman filters
X-ray tomography
image reconstruction
time measurement
X-ray imaging

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10.1109/TCI.2019.2896527

http://hdl.handle.net/10138/326646

Cite this

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title = "Undersampled dynamic X-ray tomography with dimension reduction Kalman filter",

abstract = "In this paper, we propose prior-based dimension reduction Kalman filter for undersampled dynamic X-ray tomography. With this method, the X-ray reconstructions are parameterized by a low-dimensional basis. Thus, the proposed method is a) computationally very light; and b) extremely robust as all the computations can be done explicitly. With real and simulated measurement data, we show that the method provides accurate reconstructions even with very limited number of angular directions.",

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author = "Janne Hakkarainen and Zenith Purisha and Antti Solonen and Samuli Siltanen",

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AU - Solonen, Antti

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PY - 2019

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KW - covariance matrices

KW - dimensionality reduction

KW - Kalman filters

KW - X-ray tomography

KW - image reconstruction

KW - time measurement

KW - X-ray imaging

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DO - 10.1109/TCI.2019.2896527

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JO - IEEE Transactions on Computational Imaging

JF - IEEE Transactions on Computational Imaging

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Undersampled dynamic X-ray tomography with dimension reduction Kalman filter

Abstract

Keywords

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