Fig 1.
Projection data with vertical artifacts caused by bin failures in (a) can be modeled as a combination of (b) ideal projection data and (c) ring artifact in the projection data domain. Red and yellow rectangles in (c) demonstrate the adjacent and non-adjacent bins failure cases, respectively.
Table 1.
Proximity operators corresponding to different sparsity-induced norms.
Fig 2.
Reconstructed images using ℓ2 and ℓ2-smth algorithms for the first study case.
All reconstructed images in figures hereafter are displayed with the same grayscale for consistency.
Fig 3.
Reconstructed images in the first study case (noise-free, non-adjacent error detector bins, and angular-independent error case).
Fig 4.
Reconstructed images in the second study case (noise-free, adjacent error detector bins, and angular-independent error case).
Fig 5.
Reconstructed images in the third study case (noise-free, adjacent bad detector bins, and angular-dependent error case).
Fig 6.
Comparison of reconstruction images between the proposed algorithms and their angular constrained forms for the first study case (noise-free, non-adjacent error detector bins, and angular-independent error case).
Fig 7.
Comparison of reconstructed images between the proposed algorithms and their angular constrained forms for the second study case (noise-free, adjacent error detector bins, and angular-independent error case).
Table 2.
RRMSE and SSIM values of reconstructed images by the proposed algorithms and the compared methods for the first and second study cases and the noisy data.
Table 3.
RRMSE and SSIM values of reconstructed images by the proposed algorithms and the compared methods for the third study case.
Fig 8.
Computed (a) RRMSE and (b) SSIM values versus the iteration numbers for the third study case.
Fig 9.
Reconstructed images in the case of noisy projection data (noisy projection data, non-adjacent error detector bins, and angular-independent error case).
Fig 10.
Comparison of reconstructed images between the proposed algorithms and their angular constrained forms in the case of noisy projection data (noisy projection data, non-adjacent error detector bins, and angular-independent error case).
Fig 11.
Results of the real data.