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Article

Reconstruction of PET Images Using Cross-Entropy and Field of Experts

1
Department of Electrical and Computation Engineering, Universidad Autónoma de Ciudad Juárez, Ciudad Juárez 32310, Mexico
2
Department of Industrial and Systems, Universidad Autónoma de Ciudad Juárez, Ciudad Juárez 32310, Mexico
3
Department of Physics and Mathematics, Universidad Autónoma de Ciudad Juárez, Ciudad Juárez 32310, Mexico
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(1), 83; https://doi.org/10.3390/e21010083
Received: 17 December 2018 / Revised: 7 January 2019 / Accepted: 14 January 2019 / Published: 18 January 2019
(This article belongs to the Special Issue Entropy in Image Analysis)
The reconstruction of positron emission tomography data is a difficult task, particularly at low count rates because Poisson noise has a significant influence on the statistical uncertainty of positron emission tomography (PET) measurements. Prior information is frequently used to improve image quality. In this paper, we propose the use of a field of experts to model a priori structure and capture anatomical spatial dependencies of the PET images to address the problems of noise and low count data, which make the reconstruction of the image difficult. We reconstruct PET images by using a modified MXE algorithm, which minimizes a objective function with the cross-entropy as a fidelity term, while the field of expert model is incorporated as a regularizing term. Comparisons with the expectation maximization algorithm and a iterative method with a prior penalizing relative differences showed that the proposed method can lead to accurate estimation of the image, especially with acquisitions at low count rate. View Full-Text
Keywords: positron emission tomography; reconstruction; field of experts positron emission tomography; reconstruction; field of experts
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MDPI and ACS Style

Mejia, J.; Ochoa, A.; Mederos, B. Reconstruction of PET Images Using Cross-Entropy and Field of Experts. Entropy 2019, 21, 83. https://doi.org/10.3390/e21010083

AMA Style

Mejia J, Ochoa A, Mederos B. Reconstruction of PET Images Using Cross-Entropy and Field of Experts. Entropy. 2019; 21(1):83. https://doi.org/10.3390/e21010083

Chicago/Turabian Style

Mejia, Jose; Ochoa, Alberto; Mederos, Boris. 2019. "Reconstruction of PET Images Using Cross-Entropy and Field of Experts" Entropy 21, no. 1: 83. https://doi.org/10.3390/e21010083

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