Sparsity-driven deterministic sampling strategy for coded aperture x-ray computed tomography

Sonkar, Munnu and Sasmal, Pradip and Sastry, Challa Subrahmanya and et al, . (2022) Sparsity-driven deterministic sampling strategy for coded aperture x-ray computed tomography. Measurement Science and Technology, 33 (3). ISSN 0957-0233

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The sub-sampling strategies in x-ray computed tomography (CT) have gained importance due to their practical relevance. In this direction of research, also known as coded aperture x-ray computed tomography (CAXCT), both random and deterministic strategies have been proposed in the literature. Of the techniques available, those based on compressive sensing (CS) have recently gained more traction because CS-based ideas efficiently exploit inherent duplication present in the system. The quality of the reconstructed CT images nevertheless depends on the sparse signal recovery properties of the sub-sampled Radon matrices. In the present work, we optimize CAXCT deterministically in such a way that the corresponding sub-sampled Radon matrices remain close to the equiangular tight frames for better numerical behaviour. We show that this optimization, involving the Khatri-Rao product, leads to a non-negative sparse approximation. While comparing and contrasting our method with its existing counterparts, we show that the proposed algorithm is computationally less involved. Finally, we demonstrate efficacy of the proposed deterministic sub-sampling strategy in recovering CT images in both noiseless and noisy cases. © 2021 IOP Publishing Ltd.

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IITH Creators:
IITH CreatorsORCiD
Sastry, Challa SubrahmanyaUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: coded aperture x-ray tomography; equiangular tight frame; non-destructive testing (NDT); non-negative sparse signal recovery; Radon projection matrix
Subjects: Mathematics
Mathematics > Probabilities and applied mathematics
Divisions: Department of Mathematics
Depositing User: . LibTrainee 2021
Date Deposited: 20 Jul 2022 11:37
Last Modified: 20 Jul 2022 11:37
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