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Article

A Novel Iterative MLEM Image Reconstruction Algorithm Based on Beltrami Filter: Application to ECT Images

1
Image Team, GREYC Laboratory, University of Caen Normandy, CEDEX, 14050 Caen, France
2
Electrical Engineering Laboratory LGE, M’sila University, 28000 M’sila, Algeria
3
Electronics Department, University of Mohamed El Bachir El Ibrahimi—Bordj Bou Arréridj, 34030 Bordj Bou Arréridj (BBA), Algeria
*
Author to whom correspondence should be addressed.
Academic Editor: El-Sayed H. Ibrahim
Tomography 2021, 7(3), 286-300; https://doi.org/10.3390/tomography7030026
Received: 22 June 2021 / Revised: 17 July 2021 / Accepted: 23 July 2021 / Published: 28 July 2021
The implementation of emission-computed tomography (ECT), including positron emission tomography and single-photon emission-computed tomography, has been an important research topic in recent years and is of significant and practical importance. However, the slow rate of convergence and the computational complexity have severely impeded the efficient implementation of iterative reconstruction. By combining the maximum-likelihood expectation maximization (MLEM) iteratively along with the Beltrami filter, this paper proposes a new approach to reformulate the MLEM algorithm. Beltrami filtering is applied to an image obtained using the MLEM algorithm for each iteration. The role of Beltrami filtering is to remove mainly out-of-focus slice blurs, which are artifacts present in most existing images. To improve the quality of an image reconstructed using MLEM, the Beltrami filter employs similar structures, which in turn reduce the number of errors in the reconstructed image. Numerical image reconstruction tomography experiments have demonstrated the performance capability of the proposed algorithm in terms of an increase in signal-to-noise ratio (SNR) and the recovery of fine details that can be hidden in the data. The SNR and visual inspections of the reconstructed images are significantly improved compared to those of a standard MLEM. We conclude that the proposed algorithm provides an edge-preserving image reconstruction and substantially suppress noise and edge artifacts. View Full-Text
Keywords: EM algorithm; beltrami filtering; emission-computed tomography; FBP algorithm; poisson distribution EM algorithm; beltrami filtering; emission-computed tomography; FBP algorithm; poisson distribution
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MDPI and ACS Style

Boudjelal, A.; Elmoataz, A.; Attallah, B.; Messali, Z. A Novel Iterative MLEM Image Reconstruction Algorithm Based on Beltrami Filter: Application to ECT Images. Tomography 2021, 7, 286-300. https://doi.org/10.3390/tomography7030026

AMA Style

Boudjelal A, Elmoataz A, Attallah B, Messali Z. A Novel Iterative MLEM Image Reconstruction Algorithm Based on Beltrami Filter: Application to ECT Images. Tomography. 2021; 7(3):286-300. https://doi.org/10.3390/tomography7030026

Chicago/Turabian Style

Boudjelal, Abdelwahhab, Abderrahim Elmoataz, Bilal Attallah, and Zoubeida Messali. 2021. "A Novel Iterative MLEM Image Reconstruction Algorithm Based on Beltrami Filter: Application to ECT Images" Tomography 7, no. 3: 286-300. https://doi.org/10.3390/tomography7030026

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