Title
4D-CT reconstruction with unified spatial-temporal patch-based regularization 4D-CT reconstruction with unified spatial-temporal patch-based regularization
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Subject
Mathematics
Physics
Source (journal)
Inverse problems and imaging
Volume/pages
9(2015) :2 , p. 447-467
ISSN
1930-8337
ISI
000352270000009
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
E-info
https://repository.uantwerpen.be/docman/iruaauth/b319f4/15b0c8a360f.pdf
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