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Factor analysis of dynamic PET images: beyond Gaussian noise

Cruz Cavalcanti, Yanna and Oberlin, Thomas and Dobigeon, Nicolas and Févotte, Cédric and Stute, Simon and Ribeiro, Maria-Joao and Tauber, Clovis Factor analysis of dynamic PET images: beyond Gaussian noise. (2019) IEEE Transactions on Medical Imaging, 38 (9). 2231-2241. ISSN 0278-0062

(Document in English)

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Official URL: https://doi.org/10.1109/TMI.2019.2906828


Factor analysis has proven to be a relevant tool for extracting tissue time-activity curves (TACs) in dynamic PET images, since it allows for an unsupervised analysis of the data. Reliable and interpretable results are possible only if it is considered with respect to suitable noise statistics. However, the noise in reconstructed dynamic PET images is very difficult to characterize, despite the Poissonian nature of the count rates. Rather than explicitly modeling the noise distribution, this paper proposes to study the relevance of several divergence measures to be used within a factor analysis framework. To this end, the β-divergence, widely used in other applicative domains, is considered to design the data-fitting term involved in three different factor models. The performances of the resulting algorithms are evaluated for different values of β, in a range covering Gaussian, Poissonian, and Gamma-distributed noises. The results obtained on two different types of synthetic images and one real image show the interest of applying non-standard values of β to improve the factor analysis.

Item Type:Article
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in IEEE Transactions on Medical Imaging ISSN : 0278-0062 The original PDF of the article can be found at: https://ieeexplore.ieee.org/document/8672600 Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
HAL Id:hal-02376777
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Commissariat à l'Energie Atomique et aux énergies alternatives - CEA (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Institut National de la Santé et de la Recherche Médicale - INSERM (FRANCE)
Other partners > Université Paris-Saclay (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université de Tours (FRANCE)
Other partners > Université Paris-Sud 11 (FRANCE)
Laboratory name:
CAPES : Coordenação de Aperfeiçoa-mento de Ensino Superior (Brazil) - ERC : European Research Council (Europe)
Deposited On:19 Nov 2019 11:48

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