R. Abraham, M. Bergounioux, and E. Trélat, A Penalization Approach for Tomographic Reconstruction of Binary Axially Symmetric Objects, Applied Mathematics and Optimization, vol.42, issue.5, pp.345-371, 2008.
DOI : 10.1007/s00245-008-9039-8
URL : https://hal.archives-ouvertes.fr/hal-00139494

G. Ambartsoumian and P. Kuchment, A Range Description for the Planar Circular Radon Transform, SIAM Journal on Mathematical Analysis, vol.38, issue.2, pp.681-692, 2006.
DOI : 10.1137/050637492
URL : http://arxiv.org/pdf/math/0508082

M. Bergounioux and E. Trélat, A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images, Journal of Functional Analysis, vol.259, issue.9, pp.2296-2332, 2010.
DOI : 10.1016/j.jfa.2010.05.016
URL : https://hal.archives-ouvertes.fr/hal-00458340

A. Chambolle, An algorithm for total variation minimization and applications, Journal of Mathematical Imaging and Vision, vol.20, issue.12, pp.89-97, 2004.

D. Gottlieb and C. Shu, On the Gibbs Phenomenon and Its Resolution, SIAM Review, vol.39, issue.4, pp.644-668, 1997.
DOI : 10.1137/S0036144596301390
URL : http://dsec.pku.edu.cn/~tieli/notes/numer_anal/SIAMRev_39_644.pdf

M. Greenblatt, A method for proving L p boundedness of singular Radon transforms in codimension one for 1 < p < ?, Duke Math, J, vol.108, issue.2, pp.363-393, 2001.

S. Helgason, The Radon Transform, 1980.

S. Helgason, Ranges of Radon transforms, Proc. Sympos, pp.63-70, 1982.
DOI : 10.1090/psapm/027/692054

A. Hertle, On the range of the radon transform and its dual, Mathematische Annalen, vol.90, issue.1, pp.91-99, 1984.
DOI : 10.1007/978-1-4684-9928-5

B. Hofmann, B. Kaltenbacher, C. Pöschl, and O. Scherzer, A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators, Inverse Problems, vol.23, issue.3, p.9871010, 2007.
DOI : 10.1088/0266-5611/23/3/009
URL : http://www.tu-chemnitz.de/mathematik/inverse_probleme/Aktuelle_Resultate/hkps.pdf

F. Natterer, Exploiting the ranges of Radon transforms in tomography, Numerical treatment of inverse problems in differential and integral equations, Progr. Sci. Comput, vol.2, pp.290-303, 1982.

Y. Nesterov, Smooth minimization of non-smooth functions, Mathematic Programming, pp.127-142, 2005.
DOI : 10.1007/s10107-004-0552-5
URL : http://www.core.ucl.ac.be/services/psfiles/dp03/dp2003-12.pdf

P. Petrushev and Y. Xu, Localized Polynomial Frames on the Interval with Jacobi Weights, Journal of Fourier Analysis and Applications, vol.11, issue.5, pp.557-575, 2005.
DOI : 10.1007/s00041-005-4072-3
URL : http://arxiv.org/pdf/math/0508581

P. Weiss, L. Blanc-féraud, and G. Aubert, Efficient Schemes for Total Variation Minimization Under Constraints in Image Processing, SIAM Journal on Scientific Computing, vol.31, issue.3, pp.2047-2080
DOI : 10.1137/070696143
URL : https://hal.archives-ouvertes.fr/inria-00166096