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Open AccessArticle

Parametric PET Image Reconstruction via Regional Spatial Bases and Pharmacokinetic Time Activity Model

1
Department of Computer Science, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya-shi, Aichi 466-8555, Japan
2
Tokyo Metropolitan Geriatric Hospital, 35-2, Sakae-cho, Itabashi-ku, Tokyo 173-0015, Japan
3
Department of Computational Systems Biology, Faculty of Biology-Oriented Science and Technology, Kindai University, 930, Nishimitani, Wakayama 649-6433, Japan
*
Author to whom correspondence should be addressed.
Entropy 2017, 19(11), 629; https://doi.org/10.3390/e19110629
Received: 29 September 2017 / Revised: 2 November 2017 / Accepted: 20 November 2017 / Published: 22 November 2017
(This article belongs to the Special Issue Information Theory Applied to Physiological Signals)
It is known that the process of reconstruction of a Positron Emission Tomography (PET) image from sinogram data is very sensitive to measurement noises; it is still an important research topic to reconstruct PET images with high signal-to-noise ratios. In this paper, we propose a new reconstruction method for a temporal series of PET images from a temporal series of sinogram data. In the proposed method, PET images are reconstructed by minimizing the Kullback–Leibler divergence between the observed sinogram data and sinogram data derived from a parametric model of PET images. The contributions of the proposition include the following: (1) regions of targets in images are explicitly expressed using a set of spatial bases in order to ignore the noises in the background; (2) a parametric time activity model of PET images is explicitly introduced as a constraint; and (3) an algorithm for solving the optimization problem is clearly described. To demonstrate the advantages of the proposed method, quantitative evaluations are performed using both synthetic and clinical data of human brains. View Full-Text
Keywords: positron emission tomography; image reconstruction; pharmacokinetic modeling positron emission tomography; image reconstruction; pharmacokinetic modeling
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Kawamura, N.; Yokota, T.; Hontani, H.; Sakata, M.; Kimura, Y. Parametric PET Image Reconstruction via Regional Spatial Bases and Pharmacokinetic Time Activity Model. Entropy 2017, 19, 629.

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