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Unmixing dynamic PET images: combining spatial heterogeneity and non-Gaussian noise

Cruz Cavalcanti, Yanna and Oberlin, Thomas and Dobigeon, Nicolas and Févotte, Cédric and Stute, Simon and Tauber, Clovis Unmixing dynamic PET images: combining spatial heterogeneity and non-Gaussian noise. (2019) In: IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2019), 12 May 2019 - 17 May 2019 (Brighton, United Kingdom).

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Official URL: https://doi.org/10.1109/ICASSP.2019.8683384

Abstract

An important task when processing dynamic PET images is to identify the time-activity curves (TACs) of the pure tissues, along with their corresponding spatial proportions. This step, often referred to as unmixing or factor analysis, is based on a loss function which measures the discrepancy between the observed data and the model. This loss function should be chosen according to the statistical properties of the noise, which is in this case hard to characterize. Indeed, while dynamic PET images results from a decay process that can be statistically described by a Poisson distribution, acquisition and post-filtering reconstruction drastically change the nature of the noise. In the literature dedicated to factor analysis of dynamic PET images, a common and underlying assumption consists in assuming that the dynamic PET images are corrupted by an additive Gaussian or by a Poisson noise. These assumptions lead to the choice of the squared Euclidian distance and the Kullback-Leibler divergence. We propose here to consider the β-divergence, which is able to encompass a wide family of divergence measures corresponding to various noise distributions. This loss function is incorporated into three different factor models and evaluated using four sets of synthetic data.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in Proceedings of ICASSP 2019. Electronic ISBN: 978-1-4799-8131-1 Electronic ISSN: 2379-190X The original PDF of the article can be found at: https://ieeexplore.ieee.org/document/8683384 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-02378392
Audience (conference):International conference proceedings
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)
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Deposited On:19 Nov 2019 13:48

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