L. S. Apprich, G. H. Welsch, T. C. Mamisch, P. Szomolanyi, M. Mayerhoefer et al., Detection of degenerative cartilage disease: comparison of high-resolution morphological MR and quantitative T2 mapping at 3.0 Tesla, Osteoarthritis and Cartilage, vol.18, issue.9, pp.1211-1217, 2010.
DOI : 10.1016/j.joca.2010.06.002

J. M. Boone, A. L. Kwan, K. Yang, G. W. Burkett, K. K. Lindfors et al., Computed Tomography for Imaging the Breast, Journal of Mammary Gland Biology and Neoplasia, vol.351, issue.2, pp.103-111, 2006.
DOI : 10.1007/s10911-006-9017-1

K. Brandt, S. Mazucca, T. Conrozier, J. Dacre, C. Peterfy et al., What is the best radiographic protocol for a clinical trial of a structure modifying drug in patients with osteoarthritis, J. Rheumatol, vol.29, issue.6, pp.1308-1320, 2002.

D. Burstein, J. Velyvis, K. T. Scott, K. W. Stock, Y. J. Kim et al., Protocol issues for delayed Gd(DTPA)2--enhanced MRI (dGEMRIC) for clinical evaluation of articular cartilage, Protocol issues for delayed Gd(DTPA), pp.36-41, 2001.
DOI : 10.1002/1522-2594(200101)45:1<36::AID-MRM1006>3.0.CO;2-W

J. T. Dobbins and D. J. Godfrey, Digital x-ray tomosynthesis: current state of the art and clinical potential, Physics in Medicine and Biology, vol.48, issue.19, pp.65-106, 2003.
DOI : 10.1088/0031-9155/48/19/R01

S. Durfee, D. Selland, D. Smith, C. Lester, J. Kaelin et al., Sonographic Evaluation of Clinically Palpable Breast Cancers Invisible on Mammography, The Breast Journal, vol.14, issue.4, pp.247-251, 2000.
DOI : 10.1046/j.1524-4741.2000.99111.x

J. Ferlay, D. M. Parkin, and E. Steliarova-foucher, Estimates of cancer incidence and mortality in Europe in 2008, European Journal of Cancer, vol.46, issue.4, pp.765-781, 2008.
DOI : 10.1016/j.ejca.2009.12.014

S. Gandy, P. Dieppe, M. Keen, R. Maciewic, I. Watt et al., No loss of cartilage volume over three years in patients with knee osteoarthritis as assessed by magnetic resonance imaging, Osteoarthritis and Cartilage, vol.10, issue.12, pp.929-937, 2002.
DOI : 10.1053/joca.2002.0849

A. Haus and M. Yaffe, Syllabus: a categorical course in physics. Technical aspects of breast imaging, pp.95-97, 1994.

G. T. Herman, Fundamentals of computerized tomography: Image reconstruction from projections, 2009.
DOI : 10.1007/978-1-84628-723-7

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, 1988.

G. G. Hochberg, J. M. Hunder, J. N. Jordan, H. M. Katz, F. Kremers et al., Estimates of the prevalence of arthritis and other rheumatic conditions in the United States, Natl Arthritis Data Arthritis Rheum, vol.58, issue.1, pp.26-35, 2008.

K. K. Lindfors, J. M. Boone, T. R. Nelson, K. Yang, A. L. Kwan et al., Dedicated Breast CT: Initial Clinical Experience, Radiology, vol.246, issue.3, pp.725-733, 2008.
DOI : 10.1148/radiol.2463070410

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2798097

S. J. Lord, W. Lei, P. Craft, J. N. Cawson, I. Morris et al., A systematic review of the effectiveness of magnetic resonance imaging (MRI) as an addition to mammography and ultrasound in screening young women at high risk of breast cancer, European Journal of Cancer, vol.43, issue.13, pp.1905-1917, 2007.
DOI : 10.1016/j.ejca.2007.06.007

G. Madelin, J. S. Lee, S. Inati, A. Jerschow, and R. R. Regatte, Sodium inversion recovery MRI of the knee joint in vivo at 7T, Journal of Magnetic Resonance, vol.207, issue.1, pp.42-52, 2010.
DOI : 10.1016/j.jmr.2010.08.003

S. Mazucca, K. Brandt, and K. Buckwalter, Detection of radiographic joint space narrowing in subjects with knee osteoarthritis: Longitudinal comparison of the metatarsophalangeal and semiflexed anteroposterior views, Arthritis & Rheumatism, vol.46, issue.2, pp.385-390, 2003.
DOI : 10.1002/art.10765

T. J. Mosher and B. J. Dardzinski, Cartilage MRI T2 Relaxation Time Mapping: Overview and Applications, Seminars in Musculoskeletal Radiology, vol.08, issue.04, pp.355-368, 2004.
DOI : 10.1055/s-2004-861764

E. Pessis, J. Drape, P. Ravaud, A. Chevrot, M. Dougados et al., Assessment of progression in knee osteoarthritis: results of a 1 year study comparing arthroscopy and MRI, Osteoarthritis and Cartilage, vol.11, issue.5, pp.361-369, 2003.
DOI : 10.1016/S1063-4584(03)00049-9

S. P. Poplack, T. D. Tosteson, C. A. Kogel, and H. M. Nagy, Digital Breast Tomosynthesis: Initial Experience in 98 Women with Abnormal Digital Screening Mammography, American Journal of Roentgenology, vol.189, issue.3, pp.616-623, 2007.
DOI : 10.2214/AJR.07.2231

J. Raynaud, C. Kauffman, G. Beaudoins, M. Berthaumie, J. De-guise et al., Reliability of a quantification imaging system using magnetic resonance images to measure cartilage thickness and volume in human normal and osteoarthritic knees, Osteoarthritis and Cartilage, vol.11, issue.5, pp.351-360, 2003.
DOI : 10.1016/S1063-4584(03)00029-3

L. Ries, D. Melbert, and M. Krapcho, SEER Cancer statistics review, 1975.

C. Grosclaude, J. Martinez, J. Bell, F. Youngson, E. W. Berrino et al., Stage at diagnosis is a key explanation of differences in breast cancer survival across Europe, Int. J. Cancer, vol.106, issue.3, pp.416-422, 2003.

R. Schulz-wendtland, M. Fuchsjager, T. Wacker, and K. P. Hermann, Digital mammography: An update, European Journal of Radiology, vol.72, issue.2, pp.258-265, 2009.
DOI : 10.1016/j.ejrad.2009.05.052

C. Taylor, J. Carballido-gamio, S. Majumdar, and X. J. Li, Comparison of quantitative imaging of cartilage for osteoarthritis: T2, T1??, dGEMRIC and contrast-enhanced computed tomography, Magnetic Resonance Imaging, vol.27, issue.6, pp.779-784, 2009.
DOI : 10.1016/j.mri.2009.01.016

. Pani, 2004) showed improved contrast with respect to the corresponding conventional images. Due to these very promising results, the first phase-contrast clinical trial was started at the SYRMEP beamline of the Elettra synchrotron radiation facility in Trieste (Italy) (Dreossi et al, 2007.

L. A. References, V. G. Afanas-'ev, and . Kohn, Dynamical theory of X-ray diffraction in crystals with defects, Acta Crystallogr, p.27, 1971.

F. Arfelli, M. Assante, V. Bonvicini, A. Bravin, G. Cantatore et al., Low-dose phase contrast x-ray medical imaging, Physics in Medicine and Biology, vol.43, issue.10, pp.43-2845, 1998.
DOI : 10.1088/0031-9155/43/10/013

F. Arfelli, V. Bonvicini, A. Bravin, G. Cantatore, E. Castelli et al., Mammography with Synchrotron Radiation: Phase-Detection Techniques, Radiology, vol.215, issue.1, pp.286-293, 2000.
DOI : 10.1148/radiology.215.1.r00ap10286

B. D. Arhatari, A. P. Mancuso, A. G. Peele, and K. A. Nugent, Phase contrast radiography: Image modeling and optimization, Review of Scientific Instruments, vol.75, issue.12, pp.5271-5276, 2004.
DOI : 10.1063/1.1819652

V. Arrizon and E. Lopezolazagasti, Binary phase grating for array generation at 1/16 of Talbot length, Journal of the Optical Society of America A, vol.12, issue.4, pp.801-804, 1995.
DOI : 10.1364/JOSAA.12.000801

A. Authier, Dynamical theory of X -ray diffraction, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00130752

L. Azaroff, Elements of X-ray crystallography, Mc Graw-Hill, 1968.

M. Bech, O. Bunk, T. Donath, R. Feidenhans-'l, C. David et al., Quantitative x-ray dark-field computed tomography, Physics in Medicine and Biology, vol.55, issue.18, pp.5529-5539, 2010.
DOI : 10.1088/0031-9155/55/18/017

M. A. Beltran, D. M. Paganin, K. Uesugi, and M. J. Kitchen, 2D and 3D X-ray phase retrieval of???multi-material objects using a???single defocus distance, Optics Express, vol.18, issue.7, pp.6423-6459, 2010.
DOI : 10.1364/OE.18.006423

U. Bonse and M. Hart, AN X???RAY INTERFEROMETER, Applied Physics Letters, vol.6, issue.8, pp.155-156, 1965.
DOI : 10.1063/1.1754212

M. Born and E. Wolf, Principles of optics: electromagnetic theory of propagation, interference and diffraction of light, 1999.
DOI : 10.1017/CBO9781139644181

A. Bravin, Exploiting the x-ray refraction contrast with an analyser: the state of the art, Journal of Physics D: Applied Physics, vol.36, issue.10A, pp.24-29, 2003.
DOI : 10.1088/0022-3727/36/10A/306

A. Bravin, J. Keyriläinen, M. Fernandez, S. Fiedler, C. Nemoz et al., High-resolution CT by diffractionenhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology, Phys. Med. Biol, issue.8, pp.52-2197, 2007.
URL : https://hal.archives-ouvertes.fr/inserm-00383854

A. Bravin, V. Mocella, C. Ferrero, P. Coan, S. Fiedler et al., A numerical wave-optical approach for the simulation of analyzer-based x-ray imaging, Optics Express, vol.15, issue.9, pp.5641-5648, 2007.
DOI : 10.1364/OE.15.005641

A. V. Bronnikov, Reconstruction formulas in phase-contrast tomography, Optics Communications, vol.171, issue.4-6, pp.239-244, 1999.
DOI : 10.1016/S0030-4018(99)00575-1

E. Burattini, E. Cossu, C. Di-maggio, M. Gambaccini, P. Indovina et al., Mammography with synchrotron radiation., Radiology, vol.195, issue.1, pp.239-244, 1995.
DOI : 10.1148/radiology.195.1.7892478

V. Bushuev, E. Beliaevskaya, and V. Ingal, Wave-optical description of X-ray phase contrast images of weakly absorbing non-crystalline objects, Il Nuovo Cimento D, vol.266, issue.2-4, pp.513-520, 1997.
DOI : 10.1007/BF03041011

V. A. Bushuev, V. N. Ingal, and E. A. Beliaevskaya, Wave theory of X-ray phase-contrast radiography, Crystallogr. Rep, vol.43, issue.4, pp.538-547, 1998.

V. Abrami, R. H. Chenda, E. Menk, G. Quai, P. Tromba et al., Clinical mammography at the SYRMEP beam line, Nucl. Instrum. Meth. A, vol.572, issue.1, pp.237-240, 2007.

C. T. Chantler, K. Olsen, R. A. Dragoset, J. Chang, A. R. Kishore et al., X- Ray Form Factor, Attenuation and Scattering Tables (version 2.1): http://physics, 2005.

D. Chapman, W. Thomlinson, F. Arfelli, N. Gmur, Z. Zhong et al., Mammography imaging studies using a Laue crystal analyzer, Review of Scientific Instruments, vol.67, issue.9, pp.1-5, 1996.
DOI : 10.1063/1.1147502

D. Arfelli and . Sayers, Diffraction enhanced x-ray imaging, Phys. Med. Biol, vol.42, issue.11, pp.2015-2025, 1997.

P. Cloetens, R. Barrett, J. Baruchel, J. Guigay, and M. Schlenker, Phase objects in synchrotron radiation hard x-ray imaging, Journal of Physics D: Applied Physics, vol.29, issue.1, pp.133-146, 1996.
DOI : 10.1088/0022-3727/29/1/023

P. Cloetens, J. P. Guigay, C. Demartino, J. Baruchel, and M. Schlenker, Fractional Talbot imaging of phase gratings with hard x rays, Optics Letters, vol.22, issue.14, pp.1059-1061, 1997.
DOI : 10.1364/OL.22.001059

P. Coan, E. Pagot, S. Fiedler, P. Cloetens, J. Baruchel et al., Phase-contrast X-ray imaging combining free space propagation and Bragg diffraction, Journal of Synchrotron Radiation, vol.12, issue.2, pp.241-245, 2005.
DOI : 10.1107/S0909049504028444

P. Coan, J. Mollenhauer, A. Wagner, C. Muehleman, and A. Bravin, Analyzer-based imaging technique in tomography of cartilage and metal implants: A study at the ESRF, European Journal of Radiology, vol.68, issue.3, pp.41-48, 2008.
DOI : 10.1016/j.ejrad.2008.04.036

C. Reiser and . Glaser, Characterization of osteoarthritic and normal human patella cartilage by computed tomography X-ray phase-contrast imaging: a feasibility study, Invest. Radiol, vol.45, issue.7, pp.437-444, 2010.

P. Coan, A. Wagner, A. Bravin, P. C. Diemoz, J. Keyriläinen et al., In vivo x-ray phase contrast analyzer-based imaging for longitudinal osteoarthritis studies in guinea pigs, Phys. Med. Biol, issue.24, pp.55-7649, 2010.

C. David, B. Nöhammer, H. Solak, and E. Ziegler, Differential x-ray phase contrast imaging using a shearing interferometer, Applied Physics Letters, vol.81, issue.17, pp.3287-3289, 2002.
DOI : 10.1063/1.1516611

T. Davis, D. Gao, T. Gureyev, A. Stevenson, and S. Wilkins, Phase-contrast imaging of weakly absorbing materials using hard X-rays, Nature, vol.373, issue.6515, pp.595-598, 1995.
DOI : 10.1038/373595a0

D. Dreossi, A. Bergamaschi, B. Schmitt, E. Vallazza, F. Arfelli et al., Clinical mammography at the SYRMEP beam line: Toward the digital detection system, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.576, issue.1, pp.160-163, 2007.
DOI : 10.1016/j.nima.2007.01.145

. Castelli, The mammography project at the SYRMEP beamline, Eur. J. Radiol, vol.68, issue.3, pp.58-62, 2008.

D. Koomen, E. Pavic, and . Pisano, Radiologist Evaluation of an X-ray Tube-Based Diffraction-Enhanced Imaging Prototype Using Full-Thickness Breast Specimens, Acad. Radiol, vol.16, issue.11, pp.1329-1337, 2009.

M. Fernandez, R. Serimaa, M. Torkkeli, M. L. Karjalainen-lindsberg, M. Leidenius et al., : matching histo-pathology with small-angle x-ray scattering and diffraction enhanced x-ray imaging, Physics in Medicine and Biology, vol.50, issue.13, pp.50-2991, 2005.
DOI : 10.1088/0031-9155/50/13/002

M. Fernandez, H. Suhonen, J. Keyrilainen, A. Bravin, S. Fiedler et al., USAXS and SAXS from cancer-bearing breast tissue samples, European Journal of Radiology, vol.68, issue.3, pp.89-94, 2008.
DOI : 10.1016/j.ejrad.2008.04.039

R. Fitzgerald, Phase???Sensitive X???Ray Imaging, Physics Today, vol.53, issue.7, 2000.
DOI : 10.1063/1.1292471

E. Förster, K. Goetz, and P. Zaumseil, Double crystal diffractometry for the characterization of targets for laser fusion experiments, Kristall und Technik, vol.18, issue.8, pp.937-945, 1980.
DOI : 10.1002/crat.19800150812

J. P. Guigay, On Fresnel Diffraction by One-dimensional Periodic Objects, with Application to Structure Determination of Phase Objects, Optica Acta: International Journal of Optics, vol.19, issue.9, p.677, 1971.
DOI : 10.1080/713818491

J. P. Guigay, Fourier-Transform Analysis of Fresnel Diffraction Patterns and in-Line Holograms, Optik, vol.49, pp.121-125, 1977.

J. P. Guigay, M. Langer, R. Boistel, and P. Cloetens, Mixed transfer function and transport of intensity approach for phase retrieval in the Fresnel region, Optics Letters, vol.32, issue.12, pp.1617-1619, 2007.
DOI : 10.1364/OL.32.001617

URL : https://hal.archives-ouvertes.fr/hal-00320460

T. Gureyev, A. Roberts, and K. Nugent, Partially coherent fields, the transport-of-intensity equation, and phase uniqueness, Journal of the Optical Society of America A, vol.12, issue.9, pp.1942-1946, 1995.
DOI : 10.1364/JOSAA.12.001942

T. E. Gureyev and S. W. Wilkins, Regimes of X-ray phase-contrast imaging with perfect crystals, Il Nuovo Cimento D, vol.13, issue.2-4, pp.545-552, 1997.
DOI : 10.1007/BF03041015

T. E. Gureyev, Composite techniques for phase retrieval in the Fresnel region, Optics Communications, vol.220, issue.1-3, pp.49-58, 2003.
DOI : 10.1016/S0030-4018(03)01353-1

T. E. Gureyev, T. J. Davis, A. Pogany, S. C. Mayo, and S. W. Wilkins, Optical phase retrieval by use of first Born- and Rytov-type approximations, Applied Optics, vol.43, issue.12, pp.2418-2430, 2004.
DOI : 10.1364/AO.43.002418

T. E. Gureyev, Y. I. Nesterets, A. W. Stevenson, P. R. Miller, A. Pogany et al., Some simple rules for contrast, signal-to-noise and resolution in in-line x-ray phase-contrast imaging, Optics Express, vol.16, issue.5, pp.3223-3264, 2008.
DOI : 10.1364/OE.16.003223

M. O. Hasnah, Z. Zhong, O. Oltulu, E. Pisano, R. E. Johnston et al., Diffraction enhanced imaging contrast mechanisms in breast cancer specimens, Medical Physics, vol.2, issue.10, pp.2216-2221, 2002.
DOI : 10.1118/1.1507782

M. O. Hasnah, Z. Zhong, C. Parham, H. Zhang, and D. Chapman, Compositional images from the Diffraction Enhanced Imaging technique, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.572, issue.2, pp.953-957, 2007.
DOI : 10.1016/j.nima.2006.11.066

V. Ingal and E. Beliaevskaya, X-ray plane-wave topography observation of the phase contrast from a non-crystalline object, Journal of Physics D: Applied Physics, vol.28, issue.11, pp.2314-2317, 1995.
DOI : 10.1088/0022-3727/28/11/012

. Bradley, X-ray phase contrast imaging of the bone-cartilage interface, Appl. Radiat. Isot, vol.68, issue.4-5, pp.767-771, 2010.

J. Jackson, Classical Electrodynamics, 3 rd edition, 1998.
DOI : 10.1063/1.3037637

T. Kao, D. Connor, F. A. Dilmanian, L. Faulconer, T. Liu et al., Characterization of diffraction-enhanced imaging contrast in breast cancer, Physics in Medicine and Biology, vol.54, issue.10, pp.3247-3256, 2009.
DOI : 10.1088/0031-9155/54/10/019

E. Keren and O. Kafri, Diffraction effects in moir?? deflectometry, Journal of the Optical Society of America A, vol.2, issue.2, pp.111-120, 1985.
DOI : 10.1364/JOSAA.2.000111

J. Keyriläinen, M. Fernández, S. Fiedler, A. Bravin, M. L. Karjalainen-lindsberg et al., Visualisation of calcifications and thin collagen strands in human breast tumour specimens by the diffraction-enhanced imaging technique: a comparison with conventional mammography and histology, European Journal of Radiology, vol.53, issue.2, pp.226-237, 2005.
DOI : 10.1016/j.ejrad.2004.03.015

S. Sipilä, H. Fiedler, P. Suhonen, A. Suortti, and . Bravin, Towards high-contrast breast CT at low radiation dose, Radiology, vol.249, issue.1, pp.321-327, 2008.

J. Keyriläinen, A. Bravin, M. Fernandez, M. Tenhunen, P. Virkkunen et al., Phase-contrast X-ray imaging of breast, Acta Radiologica, vol.51, issue.8, pp.866-884, 2010.
DOI : 10.3109/02841851.2010.504742

M. J. Kitchen, K. M. Pavlov, K. K. Siu, R. H. Menk, G. Tromba et al., Analyser-based phase contrast image reconstruction using geometrical optics, Physics in Medicine and Biology, vol.52, issue.14, pp.52-4171, 2007.
DOI : 10.1088/0031-9155/52/14/010

M. Langer, P. Cloetens, and F. Peyrin, Regularization of Phase Retrieval With Phase-Attenuation Duality Prior for 3-D Holotomography, IEEE Transactions on Image Processing, vol.19, issue.9, pp.2428-2436, 2010.
DOI : 10.1109/TIP.2010.2048608

URL : https://hal.archives-ouvertes.fr/hal-00443306

R. A. Lewis, Medical phase contrast x-ray imaging: current status and future prospects, Physics in Medicine and Biology, vol.49, issue.16, pp.3573-3583, 2004.
DOI : 10.1088/0031-9155/49/16/005

A. W. Lohmann and J. A. Thomas, Making an array illuminator based on the Talbot effect, Applied Optics, vol.29, issue.29, pp.4337-4340, 1990.
DOI : 10.1364/AO.29.004337

R. Longo, S. Pani, F. Arfelli, D. Dreossi, A. Olivo et al., Morphological breast imaging: tomography and digital mammography with synchrotron radiation, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.497, issue.1, pp.9-13, 2003.
DOI : 10.1016/S0168-9002(02)01886-7

S. Majumdar, A. Sema-issever, A. Burghardt, J. Lotz, F. Arfelli et al., Diffraction enhanced imaging of articular cartilage and comparison with micro-computed tomography of the underlying bone structure, European Radiology, vol.14, issue.8, pp.14-1440, 2004.
DOI : 10.1007/s00330-004-2355-8

A. W. Pogany and . Stevenson, Quantitative X-ray projection microscopy: phase-contrast and multi-spectral imaging, J. Microsc, vol.207, issue.2, pp.79-96, 2002.

A. Momose, T. Takeda, Y. Itai, and K. Hirano, Phase???contrast X???ray computed tomography for observing biological soft tissues, Nature Medicine, vol.2, issue.4, pp.473-475, 1996.
DOI : 10.1063/1.1140798

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai et al., Demonstration of X-Ray Talbot Interferometry, Japanese Journal of Applied Physics, vol.42, issue.Part 2, No. 7B, pp.42-866, 2003.
DOI : 10.1143/JJAP.42.L866

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, Phase Tomography by X-ray Talbot Interferometry for Biological Imaging, Japanese Journal of Applied Physics, vol.45, issue.6A, pp.45-5254, 2006.
DOI : 10.1143/JJAP.45.5254

K. Wagner, J. Kuettner, and . Mollenhauer, X-ray detection of structural orientation in human articular cartilage, Osteoarthr. Cartilage, vol.12, issue.2, pp.97-105, 2004.

C. Muehleman, J. Li, Z. Zhong, J. G. Brankov, and M. N. Wernick, Multiple-image radiography for human soft tissue, Journal of Anatomy, vol.39, issue.1, pp.115-124, 2006.
DOI : 10.1088/0031-9155/48/23/006

C. Muehleman, J. Li, D. Connor, C. Parham, E. Pisano et al., Diffraction-Enhanced Imaging of Musculoskeletal Tissues Using a Conventional X-Ray Tube, Academic Radiology, vol.16, issue.8, pp.918-923, 2009.
DOI : 10.1016/j.acra.2009.04.006

Y. I. Nesterets, T. E. Gureyev, D. M. Paganin, K. M. Pavlov, and S. W. Wilkins, Quantitative diffraction-enhanced x-ray imaging of weak objects, Journal of Physics D: Applied Physics, vol.37, issue.8, pp.1262-1274, 2004.
DOI : 10.1088/0022-3727/37/8/016

Y. I. Nesterets, T. Gureyev, and S. Wilkins, Polychromaticity in the combined propagation-based/analyser-based phase-contrast imaging, Journal of Physics D: Applied Physics, vol.38, issue.24, pp.4259-4271, 2005.
DOI : 10.1088/0022-3727/38/24/001

Y. I. Nesterets, P. Coan, T. Gureyev, A. Bravin, P. Cloetens et al., On qualitative and quantitative analysis in analyser-based imaging, Acta Crystallographica Section A Foundations of Crystallography, vol.62, issue.4, pp.296-308, 2006.
DOI : 10.1107/S0108767306017843

Y. I. Nesterets, T. E. Gureyev, K. M. Pavlov, D. M. Paganin, and S. W. Wilkins, Combined analyser-based and propagation-based phase-contrast imaging of weak objects, Optics Communications, vol.259, issue.1, pp.19-31, 2006.
DOI : 10.1016/j.optcom.2005.08.055

Y. I. Nesterets and S. W. Wilkins, Phase-contrast imaging using a scanning-doublegrating configuration, Optics Express, vol.16, issue.8, pp.5849-5867, 2008.
DOI : 10.1364/OE.16.005849

A. Olivo and R. Speller, Image formation principles in coded-aperture based x-ray phase contrast imaging, Physics in Medicine and Biology, vol.53, issue.22, pp.6461-6474, 2008.
DOI : 10.1088/0031-9155/53/22/012

D. Paganin, S. C. Mayo, T. E. Gureyev, P. R. Miller, and S. W. Wilkins, Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object, Journal of Microscopy, vol.206, issue.1, pp.33-40, 2002.
DOI : 10.1046/j.1365-2818.2002.01010.x

D. Paganin, T. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, Phase retrieval using coherent imaging systems with linear transfer functions, Optics Communications, vol.234, issue.1-6, pp.1-6, 2004.
DOI : 10.1016/j.optcom.2004.02.015

D. M. Paganin, Coherent X-ray optics, 2006.
DOI : 10.1093/acprof:oso/9780198567288.001.0001

E. Pagot, Quantitative comparison between two phase-contrast techniques for mammography: diffractionenhanced imaging (DEI) and phase propagation imaging (PPI), 2004.

S. Pani, R. Longo, D. Dreossi, F. Montanari, A. Olivo et al., Breast tomography with synchrotron radiation: preliminary results, Physics in Medicine and Biology, vol.49, issue.9, pp.1739-1754, 2004.
DOI : 10.1088/0031-9155/49/9/011

C. Parham, Z. Zhong, D. M. Connor, L. D. Chapman, and E. D. Pisano, Design and Implementation of a Compact Low-Dose Diffraction Enhanced Medical Imaging System, Academic Radiology, vol.16, issue.8, pp.911-917, 2009.
DOI : 10.1016/j.acra.2009.02.007

K. M. Pavlov, T. E. Gureyev, D. Paganin, Y. I. Nesterets, M. J. Morgan et al., Linear systems with slowly varying transfer functions and their application to x-ray phase-contrast imaging, Journal of Physics D: Applied Physics, vol.37, issue.19, pp.37-2746, 2004.
DOI : 10.1088/0022-3727/37/19/021

K. M. Pavlov, T. E. Gureyev, D. Paganin, Y. I. Nesterets, M. J. Kitchen et al., Unification of analyser-based and propagation-based X-ray phase-contrast imaging, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.548, issue.1-2, pp.163-168, 2005.
DOI : 10.1016/j.nima.2005.03.084

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources, Nature Physics, vol.5535, issue.4, pp.258-261, 2006.
DOI : 10.1107/S0909049501002746

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry et al., Hard-X-ray dark-field imaging using a grating interferometer, Nature Materials, vol.84, issue.2, pp.134-137, 2008.
DOI : 10.1038/nmat2096

E. D. Pisano, R. E. Johnston, D. Chapman, J. Geradts, M. V. Iacocca et al., Human Breast Cancer Specimens: Diffraction-enhanced Imaging with Histologic Correlation???Improved Conspicuity of Lesion Detail Compared with Digital Radiography, Radiology, vol.214, issue.3, pp.895-901, 2000.
DOI : 10.1148/radiology.214.3.r00mr26895

K. Podurets, V. Somenkov, and S. Shilstein, Refraction-contrast radiography, Sov. Phys. Tech. Phys, vol.34, issue.6, pp.654-657, 1989.

A. Pogany, D. Gao, and S. Wilkins, Contrast and resolution in imaging with a microfocus x-ray source, Review of Scientific Instruments, vol.68, issue.7, 1997.
DOI : 10.1063/1.1148194

. Lehr, Measurement of Laser-Plasma Electron-Density with a Soft-X-Ray Laser Deflectometer, Science, vol.265, issue.5171, pp.514-517, 1994.

L. Rigon, Z. Zhong, F. Arfelli, R. Menk, and A. Pillon, Diffraction Enhanced Imaging Utilizing crystal reflections at Elettra and NSLS, SPIE Medical Imaging, vol.4682, pp.255-266, 2002.
DOI : 10.1117/12.465567

S. Sidhu, K. K. Siu, G. Falzon, S. Nazaretian, S. A. Hart et al., X-ray scattering for classifying tissue types associated with breast disease, Medical Physics, vol.293, issue.5, pp.35-4660, 2008.
DOI : 10.1001/jama.293.10.1245

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, On the possibilities of x???ray phase contrast microimaging by coherent high???energy synchrotron radiation, Review of Scientific Instruments, vol.66, issue.12, pp.5486-5492, 1995.
DOI : 10.1063/1.1146073

V. Somenkov, A. Tkalich, and S. Shilshtein, Refraction contrast in X-ray introscopy, Sov. Phys. Tech. Phys, vol.36, issue.11, pp.1309-1311, 1991.

H. F. Talbot, Facts relating to optical science. No. IV, Phil. Mag, vol.9, pp.401-407, 1836.
DOI : 10.1080/14786443408648329

M. R. Teague, Irradiance moments: their propagation and use for unique retrieval of phase, Journal of the Optical Society of America, vol.72, issue.9
DOI : 10.1364/JOSA.72.001199

L. D. Turner, B. B. Dhal, J. P. Hayes, A. P. Mancuso, K. A. Nugent et al., X-ray phase imaging: Demonstration of extended conditions with homogeneous objects, Optics Express, vol.12, issue.13, pp.2960-2965, 2004.
DOI : 10.1364/OPEX.12.002960.m001

A. Muehleman, P. Bravin, J. Coan, and . Mollenhauer, Quality evaluation of Titanium Implant Ingrowth into Bone by Diffraction Enhanced Imaging (DEI), Phys. Med. Biol, vol.51, issue.5, 2006.

H. Wen, E. E. Bennett, M. M. Hegedus, and S. Rapacchi, Fourier X-ray Scattering Radiography Yields Bone Structural Information, Radiology, vol.251, issue.3, pp.910-918, 2009.
DOI : 10.1148/radiol.2521081903

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2687535

M. N. Wernick, Y. Yang, I. Mondal, D. Chapman, M. Hasnah et al., Computation of mass-density images from x-ray refraction-angle images, Physics in Medicine and Biology, vol.51, issue.7, pp.51-1769, 2006.
DOI : 10.1088/0031-9155/51/7/009

S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogani, and A. W. Stevenson, Phase-contrast imaging using polychromatic hard X-rays, Nature, vol.384, issue.6607, pp.335-338, 1996.
DOI : 10.1038/384335a0

X. Wu and H. Liu, A general theoretical formalism for X-ray phase contrast imaging, J. X-ray Sci. Technol, vol.11, issue.1, pp.33-42, 2003.

W. H. Zachariasen, The Theory of X-ray Diffraction in Crystals., The Journal of Physical Chemistry, vol.50, issue.3, 1945.
DOI : 10.1021/j150447a024

Z. Zhong, W. Thomlinson, D. Chapman, and D. Sayers, Implementation of diffraction-enhanced imaging experiments: at the NSLS and APS, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol.450, issue.2-3, pp.556-567, 2000.
DOI : 10.1016/S0168-9002(00)00308-9

.. Image-normalization, 84 3.5.3 Correction of artefacts in CT imaging Distributed computation for fast image reconstruction

M. Geissler, L. Ferrario, B. Serafini, H. Van-der-geer, W. Backe et al., Design considerations for table-top, laser-based VUV and X-ray free electron lasers, Appl. Phys. B -Lasers O, vol.86, issue.3, pp.431-435, 2007.

Z. Huang and R. D. Ruth, Laser-Electron Storage Ring, Physical Review Letters, vol.80, issue.5, pp.976-980, 1998.
DOI : 10.1103/PhysRevLett.80.976

H. Maruyama, T. Oka, and . Kimata, In-line phase-contrast imaging of a biological specimen using a compact laser-Compton scattering-based x-ray source, Appl. Phys. Lett, issue.13, pp.92-131107, 2008.

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, 1988.

R. Kuroda, H. Toyokawa, N. Sei, M. Yasumoto, H. Ogawa et al., INJECTOR STUDY FOR COMPACT HARD X-RAY SOURCE VIA LASER COMPTON SCATTERING, International Journal of Modern Physics B, vol.21, issue.03n04, pp.488-496, 2007.
DOI : 10.1142/S0217979207042288

P. Serafini, C. Tomassini, C. Vaccarezza, A. Vicario, and . Stefanini, Start-to-end simulation of a Thomson source for mammography, Nucl. Instrum. Meth. A, vol.615, issue.1, pp.93-99, 2010.

J. Williams and . Rosenzweig, Quantitative evaluation of single-shot inline phase contrast imaging using an inverse Compton x-ray source, Appl. Phys. Lett, vol.97, issue.13, p.134104, 2010.

E. Pagot, S. Fiedler, P. Cloetens, A. Bravin, P. Coan et al., Quantitative comparison between two phase contrast techniques: diffraction enhanced imaging and phase propagation imaging, Physics in Medicine and Biology, vol.50, issue.4, pp.709-724, 2005.
DOI : 10.1088/0031-9155/50/4/010

S. Pani, La qualità dell'immagine in relazione alla dose assorbita in mammografia diagnostica con luce di sincrotrone, Tesi di Laurea in Fisica, 1996.

G. Elleaume, P. Berruyer, A. Berkvens, and . Bravin, The radiotherapy clinical trials projects at the ESRF: Technical aspects, Eur. J. Radiol, vol.68, issue.3, pp.147-150, 2008.

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, On the possibilities of x???ray phase contrast microimaging by coherent high???energy synchrotron radiation, Review of Scientific Instruments, vol.66, issue.12, pp.5486-5492, 1995.
DOI : 10.1063/1.1146073

D. Thain, T. Tannenbaum, and M. Livny, Distributed computing in practice: the Condor experience, Concurrency and computation: Practice and Experience, pp.323-356, 2005.
DOI : 10.1002/cpe.938

H. Yamada, Novel X-ray source based on a tabletop synchrotron and its unique features, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, vol.199, pp.509-516, 2003.
DOI : 10.1016/S0168-583X(02)01593-8

N. Mori, E. Fukuyama, and . Sato, A trial for fine and low-dose imaging of biological specimens using quasimonochromatic laser-Compton X-rays, Nucl. Instrum. Meth. A, vol.608, issue.1, pp.7-10, 2009.

L. M. References, T. F. Branch, Y. Y. Coleman, and . Li, A subspace, interior, and conjugate gradient method for largescale bound-constrained minimization problems, Siam J. Sci. Comput, vol.21, issue.1, pp.1-23, 1999.

D. Chapman, W. Thomlinson, R. Johnston, D. Washburn, E. Pisano et al., Diffraction enhanced x-ray imaging, Physics in Medicine and Biology, vol.42, issue.11, pp.42-2015, 1997.
DOI : 10.1088/0031-9155/42/11/001

C. Y. Chou, M. A. Anastasio, J. G. Brankov, M. N. Wernick, E. M. Brey et al., An extended diffraction-enhanced imaging method for implementing multiple-image radiography, Physics in Medicine and Biology, vol.52, issue.7
DOI : 10.1088/0031-9155/52/7/011

P. Coan, A. Peterzol, S. Fiedler, C. Ponchut, J. C. Labiche et al., Evaluation of imaging performance of a taper optics CCD `FReLoN' camera designed for medical imaging, Journal of Synchrotron Radiation, vol.13, issue.3, pp.260-270, 2006.
DOI : 10.1107/S0909049506008983

C. Reiser and . Glaser, Characterization of osteoarthritic and normal human patella cartilage by computed tomography X-ray phase-contrast imaging: a feasibility study, Invest. Radiol, vol.45, issue.7, pp.437-444, 2010.

T. J. Davis, A unified treatment of small-angle X-ray scattering, X-ray refraction and absorption using the Rytov approximation, Acta Crystallographica Section A Foundations of Crystallography, vol.50, issue.6, pp.686-690, 1994.
DOI : 10.1107/S0108767394003478

M. O. Hasnah, C. Parham, E. D. Pisano, Z. Zhong, O. Oltulu et al., Mass density images from the diffraction enhanced imaging technique, Medical Physics, vol.29, issue.7, pp.549-552, 2005.
DOI : 10.1118/1.1852794

B. Henke, E. Gullikson, and J. Davis, X-Ray Interactions: Photoabsorption, Scattering, Transmission, and Reflection at E = 50-30,000 eV, Z = 1-92, Atomic Data and Nuclear Data Tables, vol.54, issue.2, pp.181-342, 1993.
DOI : 10.1006/adnd.1993.1013

C. H. Hu, L. Zhang, H. Li, and S. Q. Luo, Comparison of refraction information extraction methods in diffraction enhanced imaging, Optics Express, vol.16, issue.21, pp.16704-16710, 2008.
DOI : 10.1364/OE.16.016704

Z. F. Huang, K. J. Kang, and Y. G. Yang, Extraction methods of phase information for X-ray diffraction enhanced imaging, Nucl. Instrum. Meth. A, vol.579, issue.1, pp.218-222, 2007.

A. K. Jain, Fundamentals of digital image processing, 1988.

A. Maksimenko, Nonlinear extension of the x-ray diffraction enhanced imaging, Applied Physics Letters, vol.90, issue.15, p.154106, 2007.
DOI : 10.1063/1.2721378

K. Wagner, J. Kuettner, and . Mollenhauer, X-ray detection of structural orientation in human articular cartilage, Osteoarthr. Cartilage, vol.12, issue.2, pp.97-105, 2004.

Y. I. Nesterets, T. E. Gureyev, D. M. Paganin, K. M. Pavlov, and S. W. Wilkins, Quantitative diffraction-enhanced x-ray imaging of weak objects, Journal of Physics D: Applied Physics, vol.37, issue.8, pp.1262-1274, 2004.
DOI : 10.1088/0022-3727/37/8/016

Y. I. Nesterets, T. Gureyev, and S. Wilkins, Polychromaticity in the combined propagation-based/analyser-based phase-contrast imaging, Journal of Physics D: Applied Physics, vol.38, issue.24, pp.4259-4271, 2005.
DOI : 10.1088/0022-3727/38/24/001

Y. I. Nesterets, P. Coan, T. Gureyev, A. Bravin, P. Cloetens et al., On qualitative and quantitative analysis in analyser-based imaging, Acta Crystallographica Section A Foundations of Crystallography, vol.62, issue.4, pp.296-308, 2006.
DOI : 10.1107/S0108767306017843

O. Oltulu, Z. Zhong, M. Hasnah, M. N. Wernick, and D. Chapman, Extraction of extinction, refraction and absorption properties in diffraction enhanced imaging, Journal of Physics D: Applied Physics, vol.36, issue.17, pp.2152-2156, 2003.
DOI : 10.1088/0022-3727/36/17/320

D. Paganin, T. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, Phase retrieval using coherent imaging systems with linear transfer functions, Optics Communications, vol.234, issue.1-6, pp.1-6, 2004.
DOI : 10.1016/j.optcom.2004.02.015

URL : https://e-publications.une.edu.au/vital/access/services/Download/une:4318/SOURCE01

E. Pagot, P. Cloetens, S. Fiedler, A. Bravin, P. Coan et al., A method to extract quantitative information in analyzer-based x-ray phase contrast imaging, Applied Physics Letters, vol.82, issue.20, pp.3421-3423, 2003.
DOI : 10.1063/1.1575508

K. M. Pavlov, T. E. Gureyev, D. Paganin, Y. I. Nesterets, M. J. Morgan et al., Linear systems with slowly varying transfer functions and their application to x-ray phase-contrast imaging, Journal of Physics D: Applied Physics, vol.37, issue.19, pp.37-2746, 2004.
DOI : 10.1088/0022-3727/37/19/021

C. Raven, A. Snigirev, and I. Snigireva, Phase???contrast microtomography with coherent high???energy synchrotron x rays, Applied Physics Letters, vol.69, issue.13, pp.1826-1828, 1996.
DOI : 10.1063/1.117446

L. Rigon, H. Besch, F. Arfelli, R. Menk, G. Heitner et al., A new DEI algorithm capable of investigating sub-pixel structures, Journal of Physics D: Applied Physics, vol.36, issue.10A, pp.107-112, 2003.
DOI : 10.1088/0022-3727/36/10A/322

L. Rigon, F. Arfelli, and R. H. Menk, Three-image diffraction enhanced imaging algorithm to extract absorption, refraction, and ultrasmall-angle scattering, Applied Physics Letters, vol.90, issue.11, p.114102, 2007.
DOI : 10.1063/1.2713147

A. Rosenfeld and A. C. Kak, Digital picture processing, 1982.

M. N. Wernick, O. Wirjadi, D. Chapman, Z. Zhong, N. P. Galatsanos et al., Multiple-image radiography, Physics in Medicine and Biology, vol.48, issue.23, pp.48-3875, 2003.
DOI : 10.1088/0031-9155/48/23/006

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.97.2355

M. N. Wernick, Y. Yang, I. Mondal, D. Chapman, M. Hasnah et al., Computation of mass-density images from x-ray refraction-angle images, Physics in Medicine and Biology, vol.51, issue.7, pp.51-1769, 2006.
DOI : 10.1088/0031-9155/51/7/009

S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogani, and A. W. Stevenson, Phase-contrast imaging using polychromatic hard X-rays, Nature, vol.384, issue.6607, pp.335-338, 1996.
DOI : 10.1038/384335a0

L. M. References, T. F. Branch, Y. Y. Coleman, and . Li, A subspace, interior, and conjugate gradient method for largescale bound-constrained minimization problems, Siam J. Sci. Comput, vol.21, issue.1, pp.1-23, 1999.

J. G. Brankov, M. N. Wernick, Y. Y. Yang, J. Li, C. Muehleman et al., A computed tomography implementation of multiple-image radiography, Medical Physics, vol.13, issue.8, pp.278-289, 2006.
DOI : 10.1109/42.293921

A. Bravin, J. Keyriläinen, M. Fernandez, S. Fiedler, C. Nemoz et al., High-resolution CT by diffractionenhanced x-ray imaging: mapping of breast tissue samples and comparison with their histo-pathology, Phys. Med. Biol, issue.8, pp.52-2197, 2007.
URL : https://hal.archives-ouvertes.fr/inserm-00383854

C. T. Chantler, K. Olsen, R. A. Dragoset, J. Chang, A. R. Kishore et al., X- Ray Form Factor, Attenuation and Scattering Tables, 2005.

C. Reiser and . Glaser, Characterization of osteoarthritic and normal human patella cartilage by computed tomography X-ray phase-contrast imaging: a feasibility study, Invest. Radiol, vol.45, issue.7, pp.437-444, 2010.

F. Dilmanian, Z. Zhong, B. Ren, X. Wu, L. Chapman et al., Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method, Physics in Medicine and Biology, vol.45, issue.4, pp.933-946, 2000.
DOI : 10.1088/0031-9155/45/4/309

B. Henke, E. Gullikson, and J. Davis, X-Ray Interactions: Photoabsorption, Scattering, Transmission, and Reflection at E = 50-30,000 eV, Z = 1-92, Atomic Data and Nuclear Data Tables, vol.54, issue.2, pp.181-342, 1993.
DOI : 10.1006/adnd.1993.1013

C. H. Hu, L. Zhang, H. Li, and S. Q. Luo, Comparison of refraction information extraction methods in diffraction enhanced imaging, Optics Express, vol.16, issue.21, pp.16704-16710, 2008.
DOI : 10.1364/OE.16.016704

Z. F. Huang, K. J. Kang, Z. Li, P. P. Zhu, Q. X. Yuan et al., Direct computed tomographic reconstruction for directional-derivative projections of computed tomography of diffraction enhanced imaging, Applied Physics Letters, vol.89, issue.4, p.41124, 2006.
DOI : 10.1063/1.2219405

Z. F. Huang, K. J. Kang, P. P. Zhu, W. X. Huang, Q. X. Yuan et al., Strategy of extraction methods and reconstruction algorithms in computed tomography of diffraction enhanced imaging, Physics in Medicine and Biology, vol.52, issue.1, pp.1-12, 2007.
DOI : 10.1088/0031-9155/52/1/001

J. Keyriläinen, M. Fernández, M. L. Karjalainen-lindsberg, P. Virkkunen, M. Leidenius et al., Toward High-Contrast Breast CT at Low Radiation Dose, Radiology, vol.249, issue.1, pp.321-327, 2008.
DOI : 10.1148/radiol.2491072129

A. Maksimenko, M. Ando, S. Hiroshi, and T. Yuasa, Computed tomographic reconstruction based on x-ray refraction contrast, Applied Physics Letters, vol.86, issue.12, p.124105, 2005.
DOI : 10.1063/1.1891305

Y. I. Nesterets, T. E. Gureyev, and S. W. Wilkins, General reconstruction formulas for analyzer-based computed tomography, Applied Physics Letters, vol.89, issue.26, 2006.
DOI : 10.1063/1.2423325

L. Rigon, A. Astolfo, F. Arfelli, and R. H. Menk, Generalized diffraction enhanced imaging: Application to tomography, European Journal of Radiology, vol.68, issue.3, pp.3-7, 2008.
DOI : 10.1016/j.ejrad.2008.04.026

D. Thain, T. Tannenbaum, and M. Livny, Distributed computing in practice: the Condor experience, Concurrency and computation: Practice and Experience, pp.323-356, 2005.
DOI : 10.1002/cpe.938

P. P. Zhu, J. Y. Wang, Q. X. Yuan, W. X. Huang, H. Shu et al., Computed tomography algorithm based on diffraction-enhanced imaging setup, Applied Physics Letters, vol.87, issue.26, 2005.
DOI : 10.1063/1.2155117

L. M. References, O. Bech, T. Bunk, R. Donath, C. Feidenhans-'l et al., Quantitative x-ray dark-field computed tomography, Phys. Med. Biol, vol.55, issue.18, pp.5529-5539, 2010.

G. W. Faris and R. L. Byer, Three-dimensional beam-deflection optical tomography of a supersonic jet, Applied Optics, vol.27, issue.24, pp.5202-5212, 1988.
DOI : 10.1364/AO.27.005202

J. Herzen, T. Donath, F. Pfeiffer, O. Bunk, C. Padeste et al., Quantitative phase-contrast tomography of a liquid phantom using a conventional x-ray tube source, Optics Express, vol.17, issue.12, pp.10010-10018, 2009.
DOI : 10.1364/OE.17.010010

Z. F. Huang, K. J. Kang, Z. Li, P. P. Zhu, Q. X. Yuan et al., Direct computed tomographic reconstruction for directional-derivative projections of computed tomography of diffraction enhanced imaging, Applied Physics Letters, vol.89, issue.4, p.41124, 2006.
DOI : 10.1063/1.2219405

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, 1988.

S. A. Mcdonald, F. Marone, C. Hintermüller, G. Mikuljan, C. David et al., Advanced phase-contrast imaging using a grating interferometer, Journal of Synchrotron Radiation, vol.16, issue.4, pp.562-572, 2009.
DOI : 10.1107/S0909049509017920

A. Momose, W. Yashiro, H. Maikusa, and Y. Takeda, High-speed X-ray phase imaging and X-ray phase tomography with Talbot interferometer and white synchrotron radiation, Optics Express, vol.17, issue.15, pp.12540-12545, 2009.
DOI : 10.1364/OE.17.012540.m005

F. Pfeiffer, C. Kottler, O. Bunk, and C. David, Hard X-Ray Phase Tomography with Low-Brilliance Sources, Physical Review Letters, vol.98, issue.10, p.98, 2007.
DOI : 10.1103/PhysRevLett.98.108105

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry et al., Hard-X-ray dark-field imaging using a grating interferometer, Nature Materials, vol.84, issue.2, pp.134-137, 2008.
DOI : 10.1038/nmat2096

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni et al., X-ray phase imaging with a grating interferometer, Optics Express, vol.13, issue.16, pp.6296-6304, 2005.
DOI : 10.1364/OPEX.13.006296

H. Wen, E. E. Bennett, M. M. Hegedus, and S. Rapacchi, Fourier X-ray Scattering Radiography Yields Bone Structural Information, Radiology, vol.251, issue.3, pp.910-918, 2009.
DOI : 10.1148/radiol.2521081903

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2687535

L. P. References, E. Coan, S. Pagot, P. Fiedler, J. Cloetens et al., Phase-contrast X-ray imaging combining free space propagation and Bragg diffraction, Journal of Synchrotron Radiation, vol.12, pp.241-245, 2005.

P. Coan, A. Peterzol, S. Fiedler, C. Ponchut, J. C. Labiche et al., Evaluation of imaging performance of a taper optics CCD `FReLoN' camera designed for medical imaging, Journal of Synchrotron Radiation, vol.13, issue.3, pp.260-270, 2006.
DOI : 10.1107/S0909049506008983

M. Langer, P. Cloetens, and F. Peyrin, Regularization of Phase Retrieval With Phase-Attenuation Duality Prior for 3-D Holotomography, IEEE Transactions on Image Processing, vol.19, issue.9, pp.2428-2436, 2010.
DOI : 10.1109/TIP.2010.2048608

URL : https://hal.archives-ouvertes.fr/hal-00443306

Y. I. Nesterets, T. Gureyev, and S. Wilkins, Polychromaticity in the combined propagation-based/analyser-based phase-contrast imaging, Journal of Physics D: Applied Physics, vol.38, issue.24, pp.4259-4271, 2005.
DOI : 10.1088/0022-3727/38/24/001

E. Pagot, S. Fiedler, P. Cloetens, A. Bravin, P. Coan et al., Quantitative comparison between two phase contrast techniques: diffraction enhanced imaging and phase propagation imaging, Physics in Medicine and Biology, vol.50, issue.4, pp.709-724, 2005.
DOI : 10.1088/0031-9155/50/4/010

K. M. Pavlov, T. E. Gureyev, D. Paganin, Y. I. Nesterets, M. J. Morgan et al., Linear systems with slowly varying transfer functions and their application to x-ray phase-contrast imaging, Journal of Physics D: Applied Physics, vol.37, issue.19, pp.37-2746, 2004.
DOI : 10.1088/0022-3727/37/19/021

URL : https://e-publications.une.edu.au/vital/access/services/Download/une:3620/SOURCE01

Y. Uesugi, M. J. Yagi, R. A. Morgan, and . Lewis, Unification of analyser-based and propagation-based Xray phase-contrast imaging, Nucl. Instr. Meth. A, vol.548, issue.12, pp.163-168, 2005.

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources, Nature Physics, vol.5535, issue.4, pp.258-261, 2006.
DOI : 10.1107/S0909049501002746

C. Diemoz, P. Coan, I. Zanette, A. Bravin, S. Lang et al., A simplified approach for computed tomography with an X-ray grating interferometer, Optics Express, vol.19, issue.3, pp.1691-98, 2011.
DOI : 10.1364/OE.19.001691

-. C. Diemoz, A. Bravin, C. Glaser, and P. Coan, Comparison of analyzer-based imaging computed tomography extraction algorithms and application to bone-cartilage imaging, Physics in Medicine and Biology, vol.55, issue.24, pp.7663-79, 2010.
DOI : 10.1088/0031-9155/55/24/018

-. Coan, A. Wagner, A. Bravin, P. C. Diemoz, J. Keyriläinen et al., x-ray phase contrast analyzer-based imaging for longitudinal osteoarthritis studies in guinea pigs, Physics in Medicine and Biology, vol.55, issue.24, pp.7649-62, 2010.
DOI : 10.1088/0031-9155/55/24/017

-. Coan, F. Bamberg, P. C. Diemoz, A. Bravin, K. Timpert et al., Characterization of Osteoarthritic and Normal Human Patella Cartilage by Computed Tomography X-ray Phase-Contrast Imaging, Investigative Radiology, vol.45, pp.437-444, 2010.
DOI : 10.1097/RLI.0b013e3181e193bd

-. C. Diemoz, P. Coan, C. Glaser, and A. Bravin, Absorption, refraction and scattering in analyzer-based imaging: comparison of different algorithms, Optics Express, vol.18, issue.4, pp.3494-3509, 2010.
DOI : 10.1364/OE.18.003494

. Glaser, Phase contrast imaging for medical diagnostics: towards clinical application with compact laser-based X-ray sources, World Congress on Medical Physics and Biomedical Engineering, vol.25, issue.13, pp.200-203, 2009.