J. Adler, H. Kohr, and O. Öktem, ODL-a Python framework for rapid prototyping in inverse problems, Royal Institute of Technology, 2017.

J. Baumeister and A. Leitão, Topics in inverse problems

F. Benvenuto and M. Piana, Regularization of multiplicative iterative algorithms with nonnegative constraint, Inverse Problems, vol.30, p.35012, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01110083

D. Berend and T. Tassa, Improved bounds on Bell numbers and on moments of sums of random variables, Probability and Mathematical Statistics, vol.30, pp.185-205, 2010.

M. Bertero and P. Boccacci, Introduction to inverse problems in imaging, 1998.

S. Boyd and L. Vandenberghe, Convex optimization, 2004.

Y. C. Cavalcanti, T. Oberlin, N. Dobigeon, C. Févotte, S. Stute et al., Factor analysis of dynamic PET images: beyond Gaussian noise, IEEE transactions on medical imaging, 2019.

I. Csiszár, Information geonetry and alternating minimization procedures, Statistics and decisions, vol.1, pp.205-237, 1984.

A. P. Dempster, N. M. Laird, and D. B. Rubin, Maximum likelihood from incomplete data via the EM algorithm, Journal of the Royal Statistical Society: Series B (Methodological), vol.39, pp.1-22, 1977.

J. A. Fessler, N. H. Clinthome, and W. L. Rogers, On complete-data spaces for PET reconstruction algorithms, IEEE Trans. Nuc. Sci, vol.40, pp.1055-61, 1993.

T. T. Georgiou, Solution of the general moment problem via a one-parameter imbedding, IEEE transactions on automatic control, vol.50, pp.811-826, 2005.

J. Hinkle, M. Szegedi, B. Wang, B. Salter, and S. Joshi, 4D CT image reconstruction with diffeomorphic motion model, Medical image analysis, vol.16, pp.1307-1316, 2012.

H. M. Hudson and R. S. Larkin, Accelerated image reconstruction using ordered subsets of projection data, IEEE transactions on medical imaging, vol.13, pp.601-609, 1994.

A. N. Iusem, A short convergence proof of the EM algorithm for a specific poisson model, Brazilian Journal of Probability and Statistics, pp.57-67, 1992.

M. Jacobson and J. A. Fessler, Joint estimation of image and deformation parameters in motion-corrected PET, 2003 IEEE Nuclear Science Symposium. Conference Record, vol.5, pp.3290-3294, 2003.

G. Last and M. Penrose, Lectures on the Poisson process, vol.7, 2017.

B. Mair, M. Rao, A. , and J. , Positron emission tomography, Borel measures and weak convergence, Inverse Problems, vol.12, p.965, 1996.

J. Mardia, J. Jiao, E. Tánczos, R. D. Nowak, and T. Weissman, Concentration inequalities for the empirical distribution, 2018.

H. Mülthei, Iterative continuous maximum-likelihood reconstruction method, Mathematical methods in the applied sciences, vol.15, pp.275-286, 1992.

H. Mülthei, B. Schorr, and W. Törnig, On an iterative method for a class of integral equations of the first kind, Mathematical methods in the applied sciences, vol.9, pp.137-168, 1987.

H. Mülthei, B. Schorr, and W. Törnig, On properties of the iterative maximum likelihood reconstruction method, Mathematical Methods in the Applied Sciences, vol.11, issue.3, pp.331-342, 1989.

F. Natterer and F. Wübbeling, Mathematical methods in image reconstruction, vol.5, 2001.

O. Öktem, C. Pouchol, and O. Verdier, Spatiotemporal PET reconstruction using ML-EM with learned diffeomorphic deformation, 2019.

J. M. Ollinger and J. A. Fessler, Positron-emission tomography, IEEE Signal Processing Magazine, vol.14, pp.43-55, 1997.

E. Posner, Random coding strategies for minimum entropy, IEEE Transactions on Information Theory, vol.21, pp.388-391, 1975.

E. Resmerita, H. W. Engl, and A. N. Iusem, The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis, Inverse Problems, vol.23, p.2575, 2007.

W. Rudin, Functional analysis, second ed, International Series in Pure and Applied Mathematics, 1991.

I. N. Sanov, On the probability of large deviations of random variables, Selected Translations in Mathematical Statistics and Probability, vol.1, pp.213-244, 1961.

L. A. Shepp and Y. Vardi, Maximum likelihood reconstruction for emission tomography, IEEE transactions on medical imaging, vol.1, pp.113-122, 1982.

B. Silverman, M. Jones, J. Wilson, and D. Nychka, A smoothed EM approach to indirect estimation problems, with particular reference to stereology and emission tomography, Journal of the Royal Statistical Society: Series B (Methodological), vol.52, pp.271-303, 1990.

Y. Vardi, L. Shepp, and L. Kaufman, A statistical model for positron emission tomography, Journal of the American statistical Association, vol.80, pp.8-20, 1985.

R. Wong, Asymptotic approximations of integrals, vol.34, 2001.