Y. Feng, A. Etxebeste, J. M. Létang, D. Sarrut, and V. Maxim, Total variation and point spread function priors for MLEM reconstruction in Compton camera imaging, NSS-MIC IEEE International Conference, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02359265

Y. Feng, M. Fontana, A. Etxebeste, D. Dauvergne, J. M. Létang et al., A maximum-a-posteriori EM reconstruction method based on total variation regularization for Compton camera imaging, vol.58, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02359539

Y. Feng, A. Etxebeste, J. M. Létang, D. Sarrut, and V. Maxim, Influence of the model in Compton camera MLEM reconstruction, NSS-MIC IEEE International Conference, 2019.

V. Maxim, Y. Feng, H. Banjak, and E. Bretin, Tomographic reconstruction from Poisson distributed data: a fast and convergent EM-TV dual approach, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01892281

Y. Feng, A. Etxebeste, J. M. Létang, D. Sarrut, and V. Maxim, 3D reconstruction benchmark of a Compton camera against a parallel hole gamma-camera on ideal data, revised, IEEE Transactions on Radiation and Plasma Medical Sciences
URL : https://hal.archives-ouvertes.fr/hal-02505759

Y. Feng, J. M. Létang, D. Sarrut, and V. Maxim, Influence of Doppler broadening model accuracy in Compton camera list-mode MLEM reconstruction

Y. Feng, J. M. Létang, D. Sarrut, and V. Maxim, Resolution recovery by PSF deconvolution and TV regularization on MLEM algorithm in Compton camera imaging, 2005.

. S-aldawood, . Thirolf, M. Miani, G. Böhmer, . Dedes et al., Development of a Compton camera for prompt-gamma medical imaging, Radiation Physics and Chemistry, vol.140, pp.190-197, 2017.

H. Anders, . Andersen, C. Avinash, and . Kak, Simultaneous algebraic reconstruction technique (SART): a superior implementation of the ART algorithm, Ultrasonic imaging, vol.6, issue.1, pp.81-94, 1984.

A. Andreyev, A. Sitek, and A. Celler, Stochastic image reconstruction method for Compton camera, IEEE Nuclear Science Symposium Conference Record (NSS/MIC), pp.2985-2988, 2009.

H. O. Anger, Use of a gamma ray pinhole camera for in-vivo studies, 1952.

J. Francis and . Anscombe, The transformation of Poisson, binomial and negative-binomial data, Biometrika, vol.35, issue.3/4, pp.246-254, 1948.

S. Anthoine, C. Melot, Y. Boursier, and J. Aujol, Some proximal methods for Poisson intensity CBCT and PET, Inverse problems and Imaging, vol.6, issue.4, p.565, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00640215

E. Aprile, K. Curioni, M. Giboni, . Kobayashi, S. Ug-oberlack et al., Compton imaging of MeV gamma-rays with the liquid xenon gamma-ray imaging telescope (lxegrit). Nuclear Instruments and Methods in, Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.593, issue.3, pp.414-425, 2008.

. Ms-bandstra, . Bellm, . Boggs, . Perez-becker, H. Zoglauer et al., Detection and imaging of the Crab Nebula with the nuclear Compton telescope, The Astrophysical Journal, vol.738, issue.1, 2011.

R. Basko, L. Gengsheng, G. T. Zeng, and . Gullberg, Application of spherical harmonics to image reconstruction for the Compton camera, Physics in Medicine & Biology, vol.43, issue.4, p.887, 1998.

A. Beck and M. Teboulle, A fast iterative shrinkage-thresholding algorithm for linear inverse problems, SIAM J.Imaging SCIENCES, vol.2, issue.1, 2009.

T. Beyer, W. David, T. Townsend, P. E. Brun, M. Kinahan et al., A combined PET/CT scanner for clinical oncology, Journal of nuclear medicine, vol.41, issue.8, pp.1369-1379, 2000.

R. Chandra and A. Rahmim, Nuclear medicine physics: the basics, 2017.

S. R. Cherry, J. A. Sorenson, and M. E. Phelps, chapter 17 -single photon emission computed tomography, Physics in Nuclear Medicine, pp.279-306

W. B. Saunders and P. , ISBN 978-1-4160-5198-5, 2012.

. Cloquet, Non-Gaussian space-variant resolution modeling for list-mode reconstruction, Physics in Medicine & Biology, 2010.

M. J. Cree and P. J. Bones, Towards direct reconstruction from a gamma camera based on Compton scattering, IEEE Transactions on Medical Imaging, vol.13, issue.2, pp.398-407, 1994.

J. Michael, P. J. Cree, and . Bones, Towards direct reconstruction from a gamma camera based on Compton scattering, IEEE transactions on medical imaging, vol.13, issue.2, pp.398-407, 1994.

P. Arthur, N. M. Dempster, D. Laird, and . Rubin, Maximum likelihood from incomplete data via the EM algorithm, Journal of the royal statistical society. Series B (methodological), pp.1-38, 1977.

L. David and . Donoho, Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data, Proceedings of Symposia in Applied Mathematics. Citeseer, 1993.

H. Soo-mee-kim, J. H. Seo, C. H. Park, C. S. Kim, S. Lee et al., Resolution recovery reconstruction for a Compton camera, Physics in Medicine & Biology, vol.58, issue.9, p.2823, 2013.

A. Kishimoto, J. Kataoka, T. Taya, L. Tagawa, S. Mochizuki et al., First demonstration of multi-color 3-D in vivo imaging using ultra-compact Compton camera, Scientific reports, vol.7, issue.1, p.2110, 2017.

T. Knöös, M. Nilsson, and L. Ahlgren, A method for conversion of Hounsfield number to electron density and prediction of macroscopic pair production cross-sections, Radiotherapy and Oncology, vol.5, issue.4, pp.337-345, 1986.

J. Krimmer, J. Ley, C. Abellan, J. Cachemiche, L. Caponetto et al., Development of a Compton camera for medical applications based on silicon strip and scintillation detectors, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.787, pp.98-101, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01101334

J. Krimmer, . Dauvergne, É. Létang, and . Testa, Prompt-gamma monitoring in hadrontherapy: A review, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.878, pp.58-73, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01585334

. Ra-kroeger, . Johnson, . Kurfess, E. A. Bf-phlips, and . Wulf, Three-compton telescope: theory, simulations, and performance, IEEE Transactions on Nuclear Science, vol.49, issue.4, pp.1887-1892, 2002.

P. Kuchment and F. Terzioglu, Inversion of weighted divergent beam and cone transforms, Inverse Problems & Imaging, vol.11, issue.6, pp.1071-1090, 2017.

K. Lange and R. Carson, EM reconstruction algorithms for emission and transmission tomography, J. Comput. Assist. Tomogr, vol.8, issue.2, pp.306-316, 1984.

W. Lee, A. Bolotnikov, T. Lee, G. Camarda, Y. Cui et al., Mini Compton camera based on an array of Frisch-grid CdZnTe detectors, 2014 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC), pp.1-7, 2014.

. Tom-k-lewellen, Time-of-flight PET, Seminars in nuclear medicine, vol.28, pp.268-275, 1998.

J. Ley, Mise en oeuvre d'un démonstrateur de caméra Compton pour l'imagerie en médecine nucléaire et pour le contrôle en temps réel de l'hadronthérapie à l'aide des rayonnements gamma prompts, 2015.

L. Livieratos, Basic principles of SPECT and PET imaging, pp.345-359, 2012.

G. Llosá, J. Barrio, C. Lacasta, S. Callier, C. De-la-taille et al., Characterization of a detector head based on continuous LaBr3 crystals and SiPM arrays for dose monitoring in hadron therapy, IEEE Nuclear Science Symposuim Medical Imaging Conference, pp.2148-2150, 2010.

B. Leon and . Lucy, An iterative technique for the rectification of observed distributions. The astronomical journal, vol.79, p.745, 1974.

F. Luisier, C. Vonesch, T. Blu, and M. Unser, Fast interscale wavelet denoising of Poisson-corrupted images, Signal Processing, vol.90, issue.2, pp.415-427, 2010.

F. Luisier, T. Blu, and M. Unser, Image denoising in mixed Poisson-Gaussian noise, IEEE Transactions on image processing, vol.20, issue.3, pp.696-708, 2011.

M. Makitalo and A. Foi, Optimal inversion of the Anscombe transformation in low-count Poisson image denoising, IEEE transactions on Image Processing, vol.20, issue.1, pp.99-109, 2011.

V. Maxim, Filtered backprojection reconstruction and redundancy in Compton camera imaging, IEEE Transactions on Image Processing, vol.23, issue.1, pp.332-341, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00977486

V. Maxim, Enhancement of compton camera images reconstructed by inversion of a conical radon transform, Inverse Problems, vol.35, issue.1, p.14001, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01932981

V. Maxim, M. Frande?, and R. Prost, Analytical inversion of the Compton transform using the full set of available projections, Inverse Problems, vol.25, issue.9, p.95001, 2009.

V. Maxim, X. Lojacono, E. Hilaire, J. Krimmer, E. Testa et al., Probabilistic models and numerical calculation of system matrix and sensitivity in list-mode MLEM 3D reconstruction of Compton camera images, Physics in Medicine & Biology, vol.61, issue.1, pp.243-264, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01272780

V. Maxim, Y. Feng, H. Banjak, and E. Bretin, Tomographic reconstruction from Poisson distributed data: a fast and convergent EM-TV dual approach, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01892281

B. Mazoyer, C. Trebossen, . Schoukroun, . Verrey, . Syrota et al., Physical characteristics of TTV03, a new high spatial resolution time-of-flight positron tomograph, IEEE Transactions on Nuclear Science, vol.37, issue.2, pp.778-782, 1990.

M. Miller, J. Zhang, K. Binzel, J. Griesmer, T. Laurence et al., Characterization of the vereos digital photon counting PET system, Journal of Nuclear Medicine, vol.56, pp.434-434, 2015.

C. Min, C. H. Kim, M. Youn, and J. Kim, Prompt gamma measurements for locating the dose falloff region in the proton therapy, Applied Physics Letters, vol.89, pp.183517-183517, 2006.

S. Motomura, Y. Kanayama, M. Hiromura, T. Fukuchi, T. Ida et al., Improved imaging performance of a semiconductor Compton camera GREI makes for a new methodology to integrate biometal analysis and molecular imaging technology in living organisms, Journal of Analytical Atomic Spectrometry, vol.28, issue.6, pp.934-939, 2013.

E. Muñoz, J. Barrio, A. Etxebeste, P. G. Ortega, C. Lacasta et al., Performance evaluation of MACACO: a multilayer Compton camera, Physics in Medicine & Biology, vol.62, issue.18, pp.7321-7341, 2017.

E. Muñoz, J. Barrio, J. Bernabéu, A. Etxebeste, C. Lacasta et al., Study and comparison of different sensitivity models for a two-plane Compton camera, Physics in Medicine & Biology, vol.63, issue.13, p.135004, 2018.

T. Nakano, M. Sakai, K. Torikai, Y. Suzuki, M. Shin-ei-noda et al., Imaging of 99m Tc-DMSA and 18 F-FDG in humans using a Si/CdTe Compton camera, Physics in Medicine & Biology, 2019.

D. Robert, M. Nowak, and . Figueiredo, Unsupervised progressive parsing of Poisson fields using minimum description length criteria, Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348), vol.2, pp.26-30, 1999.

D. Robert, E. D. Nowak, and . Kolaczyk, A statistical multiscale framework for Poisson inverse problems, IEEE Transactions on Information Theory, vol.46, issue.5, pp.1811-1825, 2000.

C. E. Ordonez, A. Bolozdynya, and W. Chang, Dependence of angular uncertainties on the energy resolution of Compton cameras, IEEE Nuclear Science Symposium, vol.2, 1997.

P. Ortega, F. Torres-espallardo, . Cerutti, J. Ferrari, C. Gillam et al., Noise evaluation of Compton camera imaging for proton therapy, Physics in Medicine & Biology, 2015.

;. Palamodov, . Vy-panin, G. T. Zeng, and . Gullberg, Reconstruction from cone integral transforms. Inverse Problem, IEEE Transactions on Nuclear Science, vol.46, issue.6, pp.2202-2210, 1999.

C. Lucas and . Parra, Reconstruction of cone-beam projections from Compton scattered data, IEEE Transactions on Nuclear Science, vol.47, issue.4, pp.1543-1550, 2000.

G. Pausch, C. Golnik, A. Schulz, and W. Enghardt, A novel scheme of Compton imaging for nuclear medicine, 2016 IEEE Nuclear Science Symposium, Medical Imaging Conference and Room-Temperature Semiconductor Detector Workshop (NSS/MIC/RTSD), pp.1-5, 2016.

E. Rapisarda, . Bettinardi, M. Thielemans, and . Gilardi, Image-based point spread function implementation in a fully 3D OSEM reconstrcution algorithm for PET, Physics in Medicine & Biology, 2010.

P. A-j-reader, H. Julyan, D. Williams, J. Hastings, and . Zweit, EM algorithm system modeling by image-space techniques for PET reconstruction, IEEE Transactions on Nuclear Science, vol.50, issue.5, 2003.

M. Richard, D. Dahoumane, M. Dauvergne, G. De-rydt, N. Dedes et al., Design study of the absorber detector of a Compton camera for on-line control in ion beam therapy, IEEE Transactions on Nuclear Science, vol.59, issue.5, pp.1850-1855, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00796857

W. Hadley-richardson, Bayesian-based iterative method of image restoration, Journal of the Optical Society of America, vol.62, issue.1, pp.55-59, 1972.

. Dwo-rogers, Fifty years of Monte Carlo simulations for medical physics, Physics in Medicine & Biology, vol.51, issue.13, p.287, 2006.

H. Rohling, . Priegnitz, . Schoene, W. Schumann, . Enghardt et al., Requirements for a Compton camera for in vivo range verification of proton therapy, Physics in Medicine & Biology, vol.62, issue.7, p.2795, 2017.

L. Rudin and . Osher, Total variation based image restoration with free local constraints, Image Processing, Proceedings. ICIP-94.IEEE International Conference, 1994.

. L-rudin, E. Osher, and . Fatemi, Nonlinear total variation based noise removal algorithms, Physica D: Nonlinear Phenomena, vol.60, 1992.

A. C. Sauve, A. O. Hero, W. L. Rogers, S. J. Wilderman, and N. H. Clinthorne, 3D image reconstruction for a Compton SPECT camera model, IEEE Transactions on Nuclear Science, vol.46, issue.6, pp.2075-2084, 1999.

A. Sawatzky, C. Brune, F. Wubbeling, and T. Kosters, Klaus Schafers, and Matin Burger. Accurate EM-TV algorithm in PET with low SNR. Nuclear Science Symposium Conference Record, 2008.

M. Stephen, . Schindler, R. Walter, J. Cook, F. A. Hammond et al., GRIP-2: A sensitive balloon-borne imaging gamma-ray telescope, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.384, issue.2-3, pp.425-434, 1997.

S. Schoene, W. Enghardt, F. Fiedler, C. Golnik, G. Pausch et al., An image reconstruction framework and camera prototype aimed for Compton imaging for in-vivo dosimetry of therapeutic ion beams, IEEE Transactions on Radiation and Plasma Medical Sciences, vol.1, issue.1, pp.96-107, 2017.

S. Schoene, W. Enghardt, F. Fiedler, C. Golnik, G. Pausch et al., An image reconstruction framework and camera prototype aimed for Compton imaging forin-vivodosimetry of therapeutic ion beams, IEEE Transactions on Radiation and Plasma Medical Sciences, vol.1, issue.1, pp.96-107, 2016.

V. Schonfelder, . Diehl, H. Gg-lichti, . Steinle, . Bn-swanenburg et al., The imaging Compton telescope COMPTEL on the gamma ray observatory, IEEE Transactions on Nuclear Science, vol.31, issue.1, pp.766-770, 1984.

A. Volker-schönfelder, K. Hirner, and . Schneider, A telescope for soft gamma ray astronomy, Nuclear Instruments and Methods, vol.107, issue.2, pp.385-394, 1973.

A. Lawrence, Y. Shepp, and . Vardi, Maximum likelihood reconstruction for emission tomography, IEEE transaction on medical imaging, vol.1, issue.2, pp.113-122, 1982.

M. Singh and D. Doria, An electronically collimated gamma camera for single photon emission computed tomography. part II: Image reconstruction and preliminary experimental measurements, Medical Physics, vol.10, issue.4, pp.428-435, 1983.

J. Skilling, K. Strong, and . Bennett, Maximum-entropy image processing in gamma-ray astronomy, Monthly Notices of the Royal Astronomical Society, vol.187, issue.2, pp.145-152, 1979.

B. Smith, Reconstruction methods and completeness conditions for two Compton data models, J. Opt. Soc. Am. A, vol.22, issue.3, pp.445-459, 2005.

D. L. Snyder, M. I. Miller, L. J. Thomas, and D. G. Politte, Noise and edge artifacts in maximum-likelihood reconstructions for emission tomography, IEEE Transactions on Medical Imaging, vol.6, issue.3, 1987.

L. Donald, . Snyder, and . David-g-politte, Image reconstruction from list-mode data in an emission tomography system having time-of-flight measurements, IEEE transaction on medical imaging, vol.30, issue.3, pp.1843-1849, 1983.

F. Stichelbaut and Y. Jongen, Verification of the proton beam position in the patient by the detection of prompt gamma-rays emission, 39th PTCOG meeting, 2003.

S. Stute and C. Comtat, Practical considerations for image-based PSF and blobs reconstruction in PET, Physics in Medicine & Biology, vol.58, issue.11, p.3849, 2013.

J. P. Sullivan, S. R. Tornga, and M. W. Rawool-sullivan, Extended radiation source imaging with a prototype Compton imager, Applied Radiation and Isotopes, vol.67, pp.617-624, 2009.

S. Surti, Update on time-of-flight PET imaging, Journal of Nuclear Medicine, vol.56, issue.1, pp.98-105, 2015.

H. Shin'ichiro-takeda, . Odaka, S. Shin-nosuke-ishikawa, H. Watanabe, T. Aono et al., Demonstration of in-vivo multi-probe tracker based on a Si/CdTe semiconductor Compton camera, IEEE Transactions on Nuclear Science, vol.59, issue.1, pp.70-76, 2012.

V. Tatischeff, V. Tavani, L. Ballmoos, U. Hanlon, . Oberlack et al., The e-ASTROGAM gamma-ray space mission, Space Telescopes and Instrumentation 2016: Ultraviolet to Gamma Ray, vol.9905, p.99052, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01554037

T. Taya, . Kataoka, Y. Kishimoto, . Iwamoto, . Koide et al., First demonstration of real-time gamma imaging by using a handheld Compton camera for particle therapy, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.831, pp.355-361, 2016.

. Michel-m-ter-pogossian, C. David, M. Ficke, J. Yamamoto, and . Hood, Super PETT I: a positron emission tomograph utilizing photon time-of-flight information, IEEE transactions on medical imaging, vol.1, issue.3, pp.179-187, 1982.

E. Testa, M. Bajard, . Chevallier, L. Dauvergne, N. Foulher et al., Monitoring the Bragg peak location of 73 MeV/ u carbon ions by means of prompt ?-ray measurements, Applied physics letters, vol.93, issue.9, p.93506, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01920991

. Rw-todd, D. B. Nightingale, and . Everett, A proposed ? camera, Nature, issue.5471, p.132, 1974.

T. Tomitani and M. Hirasawa, Image reconstruction from limited angle Compton camera data, Physics in Medicine & Biology, vol.47, issue.12, p.2129, 2002.

J. Wm and . Veigele, Photon cross sections from 0.1 keV to 1 MeV for elements Z= 1 to Z= 94. Atomic Data and Nuclear Data Tables, vol.5, pp.51-111, 1973.

R. Curtis, M. E. Vogel, and . Oman, Iterative methods for total variation denoising, SIAM Journal on Scientific Computing, vol.17, issue.1, pp.227-238, 1996.

C. G. Wahl, W. R. Kaye, W. Wang, F. Zhang, J. M. Jaworski et al., The Polaris-H imaging spectrometer, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.784, pp.377-381, 2014.

N. H. Scott-j-wilderman, . Clinthorne, A. Jeffrey, C. Fessler, . Hua et al., List mode EM reconstruction of Compton scatter camera images in 3-D, 2000 IEEE Nuclear Science Symposium. Conference Record (Cat. No. 00CH37149), vol.2, pp.15-292, 2000.

S. J. Wilderman, N. H. Clinthorne, J. A. Fessler, and W. L. Rogers, List-mode maximum likelihood reconstruction of Compton scatter camera images in nuclear medicine, IEEE Nuclear Science Symposium, pp.1716-1720, 1998.

S. J. Wilderman, J. A. Fessler, N. H. Clinthorne, J. W. Leblanc, and W. L. Rogers, Improved modeling of system response in list mode EM reconstruction of Compton scatter camera images, IEEE Transactions on Nuclear Science, vol.48, pp.111-116, 2001.

M. Rebecca, R. Willett, and . Nowak, Platelets: a multiscale approach for recovering edges and surfaces in photon-limited medical imaging, IEEE Transactions on Medical Imaging, vol.22, issue.3, pp.332-350, 2003.

D. Xu and Z. He, Gamma-ray energy-imaging integrated spectral deconvolution, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.574, issue.1, pp.98-109, 2007.

M. Yan and L. A. Vese, Expectation maximization and total variation based model for computed tomography reconstruction from undersampled data, Physics of Medical Imaging, 2011.

. Yf-yang, . Gono, . Motomura, Y. Enomoto, and . Yano, A Compton camera for multitracer imaging, IEEE Transactions on Nuclear Science, vol.48, issue.3, pp.656-661, 2001.

B. Zhang, J. Fadili, and . Starck, Wavelets, ridgelets, and curvelets for Poisson noise removal, IEEE Transactions on Image Processing, vol.17, issue.7, pp.1093-1108, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00259509

A. Zoglauer, M. Galloway, M. Amman, E. Steven, J. S. Boggs et al., First results of the high efficiency multi-mode imager (HEMI), IEEE Nuclear Science Symposium Conference Record (NSS/MIC), pp.887-891, 2009.

M. Schönfelder, A. Hirner, and K. Schneider, A telescope for soft gamma ray astronomy, Nuclear Instruments and Methods, vol.107, issue.2, pp.385-394, 1973.

R. Todd, J. Nightingale, and D. Everett, A proposed ? camera, Nature, vol.251, pp.132-134, 1974.

V. Schonfelder, R. Diehl, G. G. Lichti, H. Steinle, B. N. Swanenburg et al., The imaging Compton telescope COMPTEL on the gamma ray observatory, IEEE Transactions on Nuclear Science, vol.31, issue.1, pp.766-770, 1984.

S. M. Schindler, W. R. Cook, J. Hammond, F. A. Harrison, T. A. Prince et al., GRIP-2: A sensitive balloonborne imaging gamma-ray telescope, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.384, issue.2-3, pp.425-434, 1997.

A. Zoglauer, M. Galloway, M. Amman, S. E. Boggs, J. S. Lee et al., First results of the high efficiency multi-mode imager (HEMI), 2009 IEEE Nuclear Science Symposium Conference Record, pp.887-891, 2009.

M. Bandstra, E. Bellm, S. Boggs, D. Perez-becker, A. Zoglauer et al.,

J. Chang, J. Chiu, Y. Liang, Z. Chang, and . Liu, Detection and imaging of the Crab Nebula with the nuclear Compton telescope, The Astrophysical Journal, vol.738, issue.1, 2011.

V. Tatischeff, M. Tavani, P. V. Ballmoos, L. Hanlon, U. Oberlack et al., The e-ASTROGAM gamma-ray space mission, Space Telescopes and Instrumentation 2016: Ultraviolet to Gamma Ray, vol.9905, p.99052, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01554037

L. Mihailescu, K. Vetter, M. Burks, E. Hull, and W. Craig, SPEIR: a Ge Compton camera, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.570, issue.1, pp.89-100, 2007.

J. Sullivan, S. Tornga, and M. Rawool-sullivan, Extended radiation source imaging with a prototype Compton imager, Applied Radiation and Isotopes, vol.67, pp.617-624, 2009.

S. Takeda, A. Harayama, Y. Ichinohe, H. Odaka, S. Watanabe et al., A portable Si/CdTe Compton camera and its applications to the visualization of radioactive substances, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.787, pp.207-211, 2015.

C. Wahl, W. Kaye, W. Wang, F. Zhang, J. Jaworski et al., The Polaris-H imaging spectrometer, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, vol.784, pp.377-381, 2015.

A. Iltis, H. Snoussi, L. Magalhaes, M. Hmissi, C. Zafiarifety et al., Temporal imaging CeBr 3 Compton camera: A new concept for nuclear decommissioning and nuclear waste management, EPJ Web of Conferences, vol.170, p.6003, 2018.

M. Singh and D. Doria, An electronically collimated gamma camera for single photon emission computed tomography. Part II: Image reconstruction and preliminary experimental measurements, Medical physics, vol.10, issue.4, pp.428-435, 1983.

S. Takeda, H. Odaka, S. Ishikawa, S. Watanabe, H. Aono et al., Demonstration of invivo multi-probe tracker based on a Si/CdTe semiconductor Compton camera, IEEE Transactions on Nuclear Science, vol.59, issue.1, pp.70-76, 2012.

S. Motomura, Y. Kanayama, M. Hiromura, T. Fukuchi, T. Ida et al., Improved imaging performance of a semiconductor Compton camera GREI makes for a new methodology to integrate bio-metal analysis and molecular imaging technology in living organisms, Journal of Analytical Atomic Spectrometry, vol.28, pp.934-939, 2013.

J. Krimmer, J. Ley, C. Abellan, J. Cachemiche, L. Caponetto et al., Development of a Compton camera for medical applications based on silicon strip and scintillation detectors, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.787, issue.0, pp.98-101, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01101334

G. Pausch, C. Golnik, A. Schulz, and W. Enghardt, A novel scheme of Compton imaging for nuclear medicine, 2016 IEEE Nuclear Science Symposium, Medical Imaging Conference and Room-Temperature Semiconductor Detector Workshop, pp.1-5, 2016.

A. Kishimoto, J. Kataoka, T. Taya, L. Tagawa, S. Mochizuki et al., First demonstration of multi-color 3-D in vivo imaging using ultra-compact Compton camera, Scientific Reports, vol.7, 2017.

M. Fontana, D. Dauvergne, J. Letang, J. Ley, and A. .. Testa, Compton camera study for high efficiency SPECT and benchmark with Anger system, Physics in Medicine & Biology, vol.62, issue.23, p.8794, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01685468

M. Frandes, A. Zoglauer, V. Maxim, and R. Prost, A tracking Comptonscattering imaging system for hadron therapy monitoring, IEEE Transactions on Nuclear Science, vol.57, issue.1, pp.144-150, 2010.

M. Richard, M. Dahoumane, D. Dauvergne, M. De-rydt, G. Dedes et al., Design study of the absorber detector of a Compton camera for on-line control in ion beam therapy, IEEE Transactions on Nuclear Science, vol.59, issue.5, pp.1850-1855, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00796857

P. G. Ortega, I. Torres-espallardo, F. Cerutti, A. Ferrari, J. E. Gillam et al., Noise evaluation of Compton camera imaging for proton therapy, Physics in Medicine & Biology, vol.60, pp.1845-63, 2015.

T. Taya, J. Kataoka, A. Kishimoto, Y. Iwamoto, A. Koide et al., First demonstration of real-time gamma imaging by using a handheld Compton camera for particle therapy, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.831, pp.355-361, 2016.

S. Schoene, W. Enghardt, F. Fiedler, C. Golnik, G. Pausch et al., An image reconstruction framework and camera prototype aimed for compton imaging for in-vivo dosimetry of therapeutic ion beams, IEEE Transactions on Radiation and Plasma Medical Sciences, vol.1, issue.1, pp.96-107, 2017.

S. Aldawood, P. Thirolf, A. Miani, M. Böhmer, G. Dedes et al., Development of a Compton camera for prompt-gamma medical imaging, Radiation Physics and Chemistry, vol.140, pp.190-197, 2017.

H. Rohling, M. Priegnitz, S. Schoene, A. Schumann, W. Enghardt et al., Requirements for a Compton camera for in vivo range verification of proton therapy, Physics in Medicine & Biology, vol.62, issue.7, pp.2795-2811, 2017.

F. Hueso-gonzález, G. Pausch, J. Petzoldt, K. E. Römer, and W. Enghardt, Prompt gamma rays detected with a BGO block Compton camera reveal range deviations of therapeutic proton beams, IEEE Transactions on Radiation and Plasma Medical Sciences, vol.1, issue.1, pp.76-86, 2017.

J. Krimmer, D. Dauvergne, J. M. Létang, and . Testa, Prompt-gamma monitoring in hadrontherapy: A review, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.878, pp.58-73, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01585334

M. Fontana, J. Ley, D. Dauvergne, N. Freud, J. Krimmer et al., Monitoring ion beam therapy with a Compton camera: simulation studies of the clinical feasibility, IEEE Transactions on Radiation and Plasma Medical Sciences, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02301075

M. Priegnitz, S. Barczyk, L. Nenoff, C. Golnik, I. Keitz et al., Towards clinical application: prompt gamma imaging of passively scattered proton fields with a knife-edge slit camera, Physics in Medicine & Biology, vol.61, issue.22, p.7881, 2016.

J. Krimmer, M. Chevallier, J. Constanzo, D. Dauvergne, M. De-rydt et al., Collimated prompt gamma TOF measurements with multi-slit multidetector configurations, Journal of Instrumentation, vol.10, issue.01, p.1011, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01112176

J. M. Verburg, K. Riley, T. Bortfeld, and J. Seco, Energy-and timeresolved detection of prompt gamma-rays for proton range verification, Physics in Medicine & Biology, vol.58, issue.20, p.37, 2013.

P. C. Lopes, P. Crespo, J. Huizenga, and D. R. Schaart, Optimization of the signal-to-background ratio in prompt gamma imaging using energy and shifting time-of-flight discrimination: Experiments with a scanning parallel-slit collimator, IEEE Transactions on Radiation and Plasma Medical Sciences, vol.2, issue.5, pp.510-519, 2018.

F. Hueso-gonzález and T. Bortfeld, Compact method for proton range verification based on coaxial prompt gamma-ray monitoring: a theoretical study, IEEE Transactions on Radiation and Plasma Medical Sciences, pp.1-1, 2019.

M. J. Cree and P. J. Bones, Towards direct reconstruction from a gamma camera based on compton scattering, IEEE Transactions on Medical Imaging, vol.13, issue.2, pp.398-407, 1994.

L. C. Parra, Reconstruction of cone-beam projections from compton scattered data, IEEE Transactions on Nuclear Science, vol.47, issue.4, pp.1543-1550, 2000.

T. Tomitani and M. Hirasawa, Image reconstruction from limited angle Compton camera data, Physics in Medicine & Biology, vol.47, pp.2129-2145, 2002.

R. Basko, G. L. Zeng, and G. T. Gullberg, Analytical reconstruction formula for one-dimensional Compton camera, IEEE Transactions on Nuclear Science, vol.44, issue.3, pp.1342-1346, 1997.

B. Smith, Reconstruction methods and completeness conditions for two Compton data models, Journal of the Optical Society of America A, vol.22, pp.445-459, 2005.

V. Maxim, M. Frandes, and R. Prost, Analytical inversion of the Compton transform using the full set of available projections, Inverse Problems, vol.25, issue.9, pp.1-21, 2009.

V. Maxim, Filtered backprojection reconstruction and redundancy in Compton camera imaging, IEEE Transactions on Image Processing, vol.23, issue.1, pp.332-341, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00977486

P. Kuchment and F. Terzioglu, Inversion of weighted divergent beam and cone transforms, Inverse Problems & Imaging, vol.11, issue.6, pp.1071-1090, 2017.

R. Gouia-zarrad and G. Ambartsoumian, Exact inversion of the conical Radon transform with a fixed opening angle, Inverse Problems, vol.30, issue.4, p.45007, 2014.

M. Haltmeier, Exact reconstruction formulas for a Radon transform over cones, Inverse Problems, vol.30, issue.3, p.35001, 2014.

C. Jung and S. Moon, Exact inversion of the cone transform arising in an application of a Compton camera consisting of line detectors, SIAM Journal on Imaging Sciences, vol.9, issue.2, pp.520-536, 2016.

S. Moon, Inversion of the conical Radon transform with vertices on a surface of revolution arising in an application of a Compton camera, Inverse Problems, vol.33, issue.6, p.65002, 2017.

V. Palamodov, Reconstruction from cone integral transforms, Inverse Problems, vol.33, issue.10, p.104001, 2017.

D. Schiefeneder and M. Haltmeier, The Radon transform over cones with vertices on the sphere and orthogonal axes, SIAM Journal on Applied Mathematics, vol.77, issue.4, pp.1335-1351, 2017.

V. Maxim, Enhancement of Compton camera images reconstructed by inversion of a conical Radon transform, Inverse Problems, vol.35, issue.1, p.14001, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01932981

F. Terzioglu, Some analytic properties of the cone transform, Inverse Problems, vol.35, issue.3, 2019.

J. E. Gormley, W. Rogers, N. Clinthorne, D. Wehe, and G. Knoll, Experimental comparison of mechanical and electronic gamma-ray collimation, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.397, issue.2-3, pp.440-447, 1997.

L. Han, W. L. Rogers, S. S. Huh, and N. Clinthorne, Statistical performance evaluation and comparison of a Compton medical imaging system and a collimated Anger camera for higher energy photon imaging, Physics in Medicine & Biology, vol.53, issue.24, p.7029, 2008.

M. Richard, M. Chevallier, D. Dauvergne, N. Freud, P. Henriquet et al., Design guidelines for a double scattering compton camera for prompt? imaging during ion beam therapy: A monte carlo simulation study, IEEE Transactions on Nuclear Science, vol.58, issue.1, pp.87-94, 2011.
URL : https://hal.archives-ouvertes.fr/in2p3-00527432

E. Hilaire, D. Sarrut, F. Peyrin, and V. Maxim, Proton therapy monitoring by Compton imaging: influence of the large energy spectrum of the prompt-? radiation, Physics in Medicine & Biology, vol.61, issue.8, p.3127, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01373693

E. Draeger, S. Peterson, D. Mackin, H. Chen, S. Beddar et al., Feasibility studies of a new event selection method to improve spatial resolution of compton imaging for medical applications, IEEE Transactions on Radiation and Plasma Medical Sciences, vol.1, issue.4, pp.358-367, 2017.

V. Maxim, X. Lojacono, E. Hilaire, J. Krimmer, E. Testa et al., Probabilistic models and numerical calculation of system matrix and sensitivity in list-mode MLEM 3D reconstruction of Compton camera images, Physics in Medicine & Biology, vol.61, issue.1, pp.243-264, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01272780

E. Muñoz, J. Barrio, J. Bernabéu, A. Etxebeste, C. Lacasta et al., Study and comparison of different sensitivity models for a two-plane compton camera, Physics in Medicine & Biology, vol.63, issue.13, p.135004, 2018.

T. Ida, S. Motomura, M. Ueda, Y. Watanabe, and S. Enomoto, Accurate modeling of event-by-event backprojection for a germanium semiconductor Compton camera for system response evaluation in the LM-ML-EM image reconstruction method, Japanese Journal of Applied Physics, vol.58, issue.1, p.16002, 2018.

D. Xu and Z. He, Gamma-ray energy-imaging integrated deconvolution, vol.2, pp.882-886, 2005.

S. M. Kim, H. Seo, J. H. Park, C. H. Kim, C. S. Lee et al., Resolution recovery reconstruction for a compton camera, Physics in Medicine & Biology, vol.58, issue.9, p.2823, 2013.

M. Jan, M. Lee, and H. Huang, PSF reconstruction for Compton-based prompt gamma imaging, Physics in Medicine & Biology, vol.63, issue.3, p.35015, 2018.

A. Zoglauer, R. Andritschke, and G. Kanbach, Data analysis for the MEGA prototype, New Astronomy Reviews, vol.48, issue.1-4, pp.231-235, 2004.

Y. F. Yang, Y. Gono, S. Motomura, S. Enomoto, and Y. Yano, A compton camera for multitracer imaging, IEEE Transactions on Nuclear Science, vol.48, issue.3, pp.656-661, 2001.

T. Kormoll, F. Fiedler, C. Golnik, K. Heidel, M. Kempe et al., A prototype compton camera for in-vivo dosimetry of ion beam cancer irradiation, 2011 IEEE Nuclear Science Symposium Conference Record, pp.3484-3487, 2011.

G. Llosá, J. Barrio, C. Lacasta, S. Callier, C. De-la-taille et al., Characterization of a detector head based on continuous labr3crystals and sipm arrays for dose monitoring in hadron therapy, IEEE Nuclear Science Symposuim Medical Imaging Conference, pp.2148-2150, 2010.

D. Robertson, J. C. Polf, S. W. Peterson, M. T. Gillin, and S. Beddar, Material efficiency studies for a compton camera designed to measure characteristic prompt gamma rays emitted during proton beam radiotherapy, Physics in Medicine & Biology, vol.56, issue.10, p.3047, 2011.

A. Etxebeste, Y. Feng, J. M. Létang, V. Maxim, É. Testa et al., An extension of the GATE Monte Carlo simulation toolkit to model Compton camera systems, Third Geant4 International User Conference, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01926614

D. Sarrut, M. Bardiès, N. Boussion, N. Freud, S. Jan et al., A review of the use and potential of the gate monte carlo simulation code for radiation therapy and dosimetry applications, Medical physics, vol.41, p.64301, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01015819

L. Shepp and Y. Vardi, Maximum likelihood reconstruction for emission tomography, IEEE Transactions on Medical Imaging, vol.1, issue.2, pp.113-122, 1982.

K. Lange and R. Carson, EM reconstruction algorithms for emission and transmission tomography, Journal of computer assisted tomography, vol.8, issue.2, pp.306-316, 1984.

A. Dempster, N. Laird, and D. Rubin, Maximum likelihood from incomplete data via the EM algorithm, Journal of the Royal Statistical Society. Series B (Methodological), vol.39, pp.1-38, 1977.

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, 1994.

H. H. Barrett, T. White, and L. C. Parra, List-mode likelihood, Journal of the Optical Society of America. A, vol.14, issue.11, pp.2914-2923, 1997.

S. J. Wilderman, N. H. Clinthorne, J. A. Fessler, and W. L. Rogers, List-mode maximum likelihood reconstruction of Compton scatter camera images in nuclear medicine, 1998 IEEE Nuclear Science Symposium Conference Record. 1998 IEEE Nuclear Science Symposium and Medical Imaging Conference (Cat. No.98CH36255), vol.3, pp.1716-1720, 1998.

L. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D: nonlinear phenomena, vol.60, issue.1-4, pp.259-268, 1992.

A. Chambolle, An algorithm for total variation minimization and applications, Journal of Mathematical imaging and vision, vol.20, issue.1-2, pp.89-97, 2004.

A. C. Sauve, A. O. Hero, W. L. Rogers, S. J. Wilderman, and N. H. Clinthorne, 3D image reconstruction for a Compton SPECT camera model, IEEE Transactions on Nuclear Science, vol.46, issue.6, pp.2075-2084, 1999.

S. J. Wilderman, J. A. Fessler, N. H. Clinthorne, J. W. Leblanc, and W. L. Rogers, Improved modeling of system response in list mode EM reconstruction of Compton scatter camera images, IEEE Transactions on Nuclear Science, vol.48, issue.1, pp.111-116, 2001.

S. R. Tornga, M. W. Sullivan, and J. P. Sullivan, Threedimensional Compton imaging using list-mode maximum likelihood expectation maximization, IEEE Transactions on Nuclear Science, vol.56, issue.3, pp.1372-1376, 2009.

O. Klein and Y. Nishina, Über die streuung von strahlung durch freie elektronen nach der neuen relativistischen quantendynamik von dirac, Zeitschrift für Physik, vol.52, issue.11-12, pp.853-868, 1929.

J. Nuyts and J. A. Fessler, A penalized-likelihood image reconstruction method for emission tomography, compared to postsmoothed maximumlikelihood with matched spatial resolution, IEEE transactions on medical imaging, vol.22, issue.9, pp.1042-1052, 2003.

J. W. Stayman and J. A. Fessler, Compensation for nonuniform resolution using penalized-likelihood reconstruction in space-variant imaging systems, IEEE Transactions on Medical Imaging, vol.23, issue.3, pp.269-284, 2004.

A. Sawatzky, C. Brune, F. Wubbeling, T. Kosters, K. Schafers et al., Accurate EM-TV algorithm in PET with low SNR, 2008 IEEE Nuclear Science Symposium Conference Record, pp.5133-5137, 2008.

V. Maxim, Y. Feng, H. Banjak, and E. Bretin, Tomographic reconstruction from Poisson distributed data: a fast and convergent EM-TV dual approach, INSA Lyon, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01892281

A. Beck and M. Teboulle, A fast iterative shrinkage-thresholding algorithm for linear inverse problems, SIAM journal on imaging sciences, vol.2, issue.1, pp.183-202, 2009.

A. C. Zhou-wang, H. R. Bovik, E. P. Sheikh, and . Simoncelli, Image quality assessment: from error visibility to structural similarity, IEEE Transactions on Image Processing, vol.13, issue.4, pp.600-612, 2004.