4D-CT reconstruction with unified spatial-temporal patch-based regularization

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Title: 4D-CT reconstruction with unified spatial-temporal patch-based regularization
Author(s): Kazantsev, D
Thompson, WM
Lionheart, WRB
Van Eyndhoven, G
Kaestner, AP
Dobson, KJ
Withers, PJ
Lee, PD
Item Type: Journal Article
Abstract: In this paper, we consider a limited data reconstruction problem for temporarily evolving computed tomography (CT), where some regions are static during the whole scan and some are dynamic (intensely or slowly changing). When motion occurs during a tomographic experiment one would like to minimize the number of projections used and reconstruct the image iteratively. To ensure stability of the iterative method spatial and temporal constraints are highly desirable. Here, we present a novel spatial-temporal regularization approach where all time frames are reconstructed collectively as a unified function of space and time. Our method has two main differences from the state-of-the-art spatial-temporal regularization methods. Firstly, all available temporal information is used to improve the spatial resolution of each time frame. Secondly, our method does not treat spatial and temporal penalty terms separately but rather unifies them in one regularization term. Additionally we optimize the temporal smoothing part of the method by considering the non-local patches which are most likely to belong to one intensity class. This modification significantly improves the signal-to-noise ratio of the reconstructed images and reduces computational time. The proposed approach is used in combination with golden ratio sampling of the projection data which allows one to find a better trade-off between temporal and spatial resolution scenarios.
Publication Date: 1-Mar-2015
Date of Acceptance: 1-Apr-2014
URI: http://hdl.handle.net/10044/1/44662
DOI: https://dx.doi.org/10.3934/ipi.2015.9.447
ISSN: 1930-8345
Publisher: American Institute of Mathematical Sciences (AIMS)
Start Page: 447
End Page: 467
Journal / Book Title: Inverse Problems and Imaging
Volume: 9
Issue: 2
Copyright Statement: © 2015 The Author(s). This article is Open Access under the Creative Commons Attribution license (https://creativecommons.org/licenses/by/3.0/)
Keywords: Science & Technology
Physical Sciences
Mathematics, Applied
Physics, Mathematical
Time lapse tomography
spatial-temporal penalties
non local means
neutron tomography
GPU acceleration
Publication Status: Published
Open Access location: http://dx.doi.org/10.3934/ipi.2015.9.447
Appears in Collections:Materials

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