H. Barrett, D. Wilson, and B. Tsui, Noise properties of the EM algorithm. I. Theory, Physics in Medicine and Biology, vol.39, issue.5, pp.833-846, 1994.
DOI : 10.1088/0031-9155/39/5/004

H. Barrett, D. Wilson, and B. Tsui, Noise properties of the EM algorithm: II. Monte Carlo simulations, Phys. Med. Biol, vol.39, pp.847-871, 1994.

I. Buvat, A non-parametric bootstrap approach for analysing the statistical properties of SPECT and PET images, Physics in Medicine and Biology, vol.47, issue.10, pp.1761-1775, 2002.
DOI : 10.1088/0031-9155/47/10/311

M. Dahlborn, Estimation of image noise in PET using a bootstrap method, Nucl. Sci. Symp. Conf. Record, vol.4, pp.2075-2079, 2001.

T. Denoeux, M. Massonand, and P. Hébert, Nonparametric rank-based statistics and significance tests for fuzzy data, Fuzzy Sets Syst, pp.1-28, 2005.

J. Fessler, Aspire 3.0 user's guide: a sparse iterative reconstruction library, 1995.

J. Fessler, Mean and variance of implicitly defined biased estimators (such as penalized maximum likelihood): applications to tomography, IEEE Transactions on Image Processing, vol.5, issue.3, pp.493-506, 1996.
DOI : 10.1109/83.491322

E. Gardenes, M. Sainz, I. Jorba, R. Calm, R. Estela et al., Modal intervals, Reliable Computing, vol.7, issue.2, pp.77-111, 2001.
DOI : 10.1023/A:1011465930178

D. Higdon, J. Bowsher, V. Johnson, T. Turkington, D. Gilland et al., Fully Bayesian estimation of Gibbs hyperparameters for emission computed tomography data, IEEE Transactions on Medical Imaging, vol.16, issue.5, pp.516-526, 1997.
DOI : 10.1109/42.640741

H. Hudson and R. Larkin, Accelerated image reconstruction using ordered subsets of projection data, IEEE Transactions on Medical Imaging, vol.13, issue.4, pp.601-609, 2002.
DOI : 10.1109/42.363108

G. Huesman, . Greenebr, and . Budinger, RECBL library users manual: Donner algorithms for reconstruction tomography, 1977.

S. Jan, G. Santin, and D. Strul, GATE: a simulation toolkit for PET and SPECT, Physics in Medicine and Biology, vol.49, issue.19, pp.4543-4561, 2004.
DOI : 10.1088/0031-9155/49/19/007

URL : https://hal.archives-ouvertes.fr/in2p3-00021834

C. Lartizien, J. Aubin, and I. Buvat, Comparison of Bootstrap Resampling Methods for 3-D PET Imaging, IEEE Transactions on Medical Imaging, vol.29, issue.7, pp.1442-1454, 2010.
DOI : 10.1109/TMI.2010.2048119

URL : https://hal.archives-ouvertes.fr/hal-00867554

T. Lewellen, Time-of-flight PET, Seminars in Nuclear Medicine, vol.28, issue.3, pp.268-275, 1998.
DOI : 10.1016/S0001-2998(98)80031-7

Y. Li, Noise propagation for iterative penalized-likelihood image reconstruction based on Fisher information, Physics in Medicine and Biology, vol.56, issue.4, pp.1083-1103, 2011.
DOI : 10.1088/0031-9155/56/4/013

K. Loquin, O. Strauss, and J. Crouzet, Possibilistic signal processing: How to handle noise?, International Journal of Approximate Reasoning, vol.51, issue.9, pp.1129-1144, 2010.
DOI : 10.1016/j.ijar.2010.08.004

URL : https://hal.archives-ouvertes.fr/hal-00799408

K. Loquin, O. Strauss, D. Mariano-goulart, and I. Buvat, A non-additive interval-valued reconstruction method in emission tomography, Journal of Nuclear Medicine, vol.55, p.270, 2014.
URL : https://hal.archives-ouvertes.fr/lirmm-01337554

S. Markov, On directed interval arithmetic and its applications, The Journal of Universal Computer Science, pp.514-540, 1996.
DOI : 10.1007/978-3-642-80350-5_43

URL : http://www.jucs.org/jucs_1_7/on_directed_interval_arithmetic/markov_s.pdf

J. Perolat, I. Couso, K. Loquin, and O. Strauss, Generalizing the Wilcoxon rank-sum test for interval data, International Journal of Approximate Reasoning, vol.56, pp.108-121, 2015.
DOI : 10.1016/j.ijar.2014.08.001

URL : https://hal.archives-ouvertes.fr/lirmm-01278071

J. Qi and R. Leahy, Resolution and noise properties of MAP reconstruction for fully 3-D PET, IEEE Trans. Medical Imaging, vol.19, issue.5, pp.493-506, 2000.

A. Rico and O. Strauss, Imprecise expectations for imprecise linear filtering, International Journal of Approximate Reasoning, vol.51, issue.8, pp.933-947, 2010.
DOI : 10.1016/j.ijar.2010.06.003

URL : https://hal.archives-ouvertes.fr/hal-00505515

A. Rico, O. Strauss, and D. Mariano-goulart, Choquet integrals as projection operators for quantified tomographic reconstruction, Fuzzy Sets and Systems, pp.198-211, 2009.
DOI : 10.1016/j.fss.2008.03.020

D. Schmeidler, Integral representation without additivity, Proceedings of the American Mathematical Society, vol.97, issue.2, pp.255-261, 1986.
DOI : 10.1090/S0002-9939-1986-0835875-8

URL : http://www.ams.org/proc/1986-097-02/S0002-9939-1986-0835875-8/S0002-9939-1986-0835875-8.pdf

L. Shepp and Y. Vardi, Maximum Likelihood Reconstruction for Emission Tomography, IEEE Transactions on Medical Imaging, vol.1, issue.2, pp.113-122, 1982.
DOI : 10.1109/TMI.1982.4307558

A. Sitek, Representation of photon limited data in emission tomography using origin ensembles, Physics in Medicine and Biology, vol.53, issue.12, pp.3201-3216, 2008.
DOI : 10.1088/0031-9155/53/12/009

A. Sitek, Data analysis in emission tomography using emission-count posteriors, Physics in Medicine and Biology, vol.57, issue.21, pp.6779-6795, 2012.
DOI : 10.1088/0031-9155/57/21/6779

E. Soares, C. Byrne, and S. Glick, Noise characterization of block-iterative reconstruction algorithms. I. Theory, IEEE Transactions on Medical Imaging, vol.19, issue.4, pp.261-270, 2000.
DOI : 10.1109/42.848178

E. Soares, S. Glick, and J. Hoppin, Noise characterization of block-iterative reconstruction algorithms: II. Monte Carlo simulations, IEEE Transactions on Medical Imaging, vol.24, issue.1, pp.112-121, 2005.
DOI : 10.1109/TMI.2004.836876

J. Stayman and J. Fessler, Efficient Calculation of Resolution and Covariance for Penalized-Likelihood Reconstruction in Fully 3-D SPECT, IEEE Transactions on Medical Imaging, vol.23, issue.12, pp.1543-1556, 2004.
DOI : 10.1109/TMI.2004.837790

O. Strauss, A. Lahrech, A. Rico, D. Mariano-goulart, and B. Telle, NIBART: A New Interval Based Algebraic Reconstruction Technique for Error Quantification of Emission Tomography Images, 2009.
DOI : 10.1109/42.24868

O. Strauss and A. Rico, Towards interval-based non-additive deconvolution in signal processing, Soft Computing, vol.16, issue.15, pp.809-820, 2012.
DOI : 10.1109/79.799930

URL : https://hal.archives-ouvertes.fr/lirmm-00857417

M. Unser, A. Aldroubi, and M. Eden, B-spline signal processing. I. Theory, IEEE Transactions on Signal Processing, vol.41, issue.2, 1993.
DOI : 10.1109/78.193220

M. N. Wernick and J. N. Aarsvold, The Fundamentals of PET and SPECT, 2004.