F. Netter, The ciba collection of medical illustration, Ciba, vol.5, 1969.

J. Le-bas, Imagerie par résonance magnétique, 1995.

S. Reeder, Assessment of myocardial viability with magnetic résonance, 1997.

A. Duerinckx and N. Kumar, One-stop mr evaluates function and perfusion -mri approach to cardiac imaging provides noninvasive diagnostic information about ischemic disease, Diagnostic Imaging -Cardiovascular Imaging Supplement, 2000.

B. Wyman, W. Hanter, F. Prinzen, and E. Mcveigh, Mapping the propagation of mechanical activation in the paced heart with mri tagging. : Heart and, American Journal of Physiology, Circulatory Physiology, vol.276, issue.273 3, pp.881-891, 1999.

A. Samli, C. Öztürk, O. Faris, and B. Wyman, Analysis of the activation propagation on both ventricles using tagged MRI, 2001 Conference Proceedings of the 23rd Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp.307-310, 2001.
DOI : 10.1109/IEMBS.2001.1018921

O. Fans, F. Evans, C. Ôztiirk, D. Ennis, J. Taylor et al., Correlation between electrical and mechanical activation in the paced canine heart, Meeting of the International Society for Magnetic Resonance in Medicine (ISMRM'O1), 2001.

W. Tennant, The effect of coronary occlusion on myocardial contraction, Am J Physiol, vol.112, pp.351-361, 1935.

I. Daubert and . Du-myocarde, Cours de Cardiologie du CHU de Rennes, 1998.

M. Götte, A. V. Rossum, J. Twisk, J. Kuijer, J. Marcus et al., Quantification of regional contractile function after infarction: strain analysis superior to wall thickening analysis in discriminating infarct from remote myocardium, Journal of the American College of Cardiology, vol.37, issue.3, pp.808-817, 2001.
DOI : 10.1016/S0735-1097(00)01186-4

J. Park, D. Metaxas, A. Younga, and L. Axel, Deformable models with parameter functions for cardiac motion analysis from tagged mri data, pp.278-289, 1996.

D. Friboulet, I. Magnin, C. Mathieu, A. Pommert, and K. Hohne, Assessment and visualization of the curvature of the left ventricle from 3D medical images, Computerized Medical Imaging and Graphics, vol.17, issue.4-5, pp.257-262, 1993.
DOI : 10.1016/0895-6111(93)90015-F

P. Clarysse, D. Friboulet, and I. Magnin, Curvature assessment of the heart walls in 3D dynamic imaging, Proceedings of Computers in Cardiology Conference, pp.607-610, 1993.
DOI : 10.1109/CIC.1993.378329

P. Clarysse, D. Friboulet, and I. Magnin, Tracking geometrical descriptors on 3-D deformable surfaces: application to the left-ventricular surface of the heart, IEEE Transactions on Medical Imaging, vol.16, issue.4, pp.392-404, 1997.
DOI : 10.1109/42.611349

M. Cerqueira, N. Weissman, C. Dilsizian, A. Jacobs, S. Kaul et al., Standardized Myocardial Segmentation and Nomenclature for Tomographic Imaging of the Heart: A Statement for Healthcare Professionals From the Cardiac Imaging Committee of the Council on Clinical Cardiology of the American Heart Association, Circulation, vol.105, issue.4, pp.539-542, 2002.
DOI : 10.1161/hc0402.102975

C. Cormeau, Introduction to cardiovascular MR imaging -A practical guide to cardiovascular MRI, GE Medical Systems, 1999.

J. Pan and W. J. Tompkins, A Real-Time QRS Detection Algorithm, IEEE Transactions on Biomedical Engineering, vol.32, issue.3, pp.230-236, 1985.
DOI : 10.1109/TBME.1985.325532

L. Waldman, Y. Fung, and J. Covell, Transmural myocardial deformation in the canine left ventricle. Normal in vivo three-dimensional finite strains, Circulation Research, vol.57, issue.1, pp.152-163, 1985.
DOI : 10.1161/01.RES.57.1.152

G. D. Meier, M. Ziskin, W. P. Santamore, and A. Bove, Kinematics of the Beating Heart, IEEE Transactions on Biomedical Engineering, vol.27, issue.6, pp.319-329, 1980.
DOI : 10.1109/TBME.1980.326740

K. Gallagher, G. Oksada, and M. Miller, Nonuniformity of inner and outer systolic wall thickening in conscious dogs, Am J. Physiology, vol.249, pp.241-248, 1985.

T. Freeman, J. Cherry, and G. Klassen, Transmural myocardial deformation in the canine left ventricular wall, Am J. Physiology, vol.235, pp.523-530, 1978.

N. Paragios, Variational methods and partial differential equations in cardiac image analysis, 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano (IEEE Cat No. 04EX821), 2004.
DOI : 10.1109/ISBI.2004.1398463

M. Sermesant, C. Forest, and X. Pennec, Deformable biomechanical models: Application to 4D cardiac image analysis, Medical Image Analysis, vol.7, issue.4, pp.475-488, 2003.
DOI : 10.1016/S1361-8415(03)00068-9

URL : https://hal.archives-ouvertes.fr/inria-00615637

P. Shi, A. J. Sinusas, R. T. Constable, and E. Ritman, Point-tracked quantitative analysis of left ventricular motion from 3d image sequences, IEEE Transactions on Medical Imaging, vol.19, issue.1, pp.36-50, 2000.

C. Kambhamettu and D. Goldgof, Curvature-based approach to point correspondence recovery in conformal nonrigid motion, CVGIP : Image Understanding, vol.60, pp.26-43, 1994.

I. Cohen, N. Ayache, and P. Sulger, Tracking points on deformable objects using curvature information, Proceedings of the 2nd European Conference on Computer Vision, pp.458-466, 1992.
DOI : 10.1007/3-540-55426-2_51

URL : https://hal.archives-ouvertes.fr/inria-00074965

J. C. Mceachen, A. Nehorai, and J. S. Duncan, A recursive filter for temporal analysis of cardiac motion, Proceedings of IEEE Workshop on Biomedical Image Analysis, pp.124-133, 1994.
DOI : 10.1109/BIA.1994.315857

X. Papademetris, E. Onat, A. Sinusas, D. Dione, R. Constable et al., The Active Elastic Model, Information Processing in Medical Imaging (IPMI), 2001.
DOI : 10.1007/3-540-45729-1_4

. Duncan, Estimating 3d strain from 4d cine-mri and echocardiography : In-vivo validation, Medical Image Computing and Computer Aided Intervention (MICCAI), 2000.

A. Sinusas, X. Papademetris, R. Constable, D. Dione, M. Slade et al., Quantification of 3-d regional myocardial deformation :shape-based analysis of magnetic resonance images, AJP J Physiol Heart Circ Physiol, vol.281, issue.2, 2001.

J. Schaerer, Segmentation et suivi de structures par modèle déformable élastique non-linéaire. application à l'analyse automatisée de séquences d'irm cardiaques, 2008.

S. Mitchell, J. Bosch, B. Lelieveldt, R. Van-der, G. et al., 3-D active appearance models: segmentation of cardiac MR and ultrasound images, IEEE Transactions on Medical Imaging, vol.21, issue.9, pp.1167-1178, 2002.
DOI : 10.1109/TMI.2002.804425

T. Cootes, G. Edwards, and C. Taylor, Active appearance models, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.23, issue.6, pp.681-685, 2001.
DOI : 10.1109/34.927467

M. Kaus, J. Von-berg, J. Weese, W. Niessen, and V. Pekar, Automated segmentation of the left ventricle in cardiac MRI, Medical Image Analysis, vol.8, issue.3, pp.245-254, 2004.
DOI : 10.1016/j.media.2004.06.015

S. P. Lloyd, Least squares quantization in PCM, IEEE Transactions on Information Theory, vol.28, issue.2, pp.129-137, 1982.
DOI : 10.1109/TIT.1982.1056489

J. Lötjönen, S. Kivisto, J. Koikkalainen, D. Smutek, and K. Lauerma, Statistical shape model of atria, ventricles and epicardium from short- and long-axis MR images, Medical Image Analysis, vol.8, issue.3, pp.371-386, 2004.
DOI : 10.1016/j.media.2004.06.013

M. Lorenzo-valdés, G. I. Sanchez-ortiz, A. G. Elkington, R. H. Mohiaddin, and D. Rueckert, Segmentation of 4D Cardiac MR Images Using a Probabilistic Atlas and the EM Algorithm, Medical Image Analysis, vol.8, issue.3, pp.255-265, 2004.
DOI : 10.1007/978-3-540-39899-8_55

X. S. Zhou, A. Gupta, and D. Comaniciu, An information fusion framework for robust shape tracking, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.27, issue.1, pp.115-129, 2005.
DOI : 10.1109/TPAMI.2005.3

D. Comaniciu, Bayesian Kernel Tracking, 24th DAGM Symposium on Pattern Recognition, pp.438-445, 2002.
DOI : 10.1007/3-540-45783-6_53

N. Kachenoura, A. Redheuil, D. Balvay, C. Ruiz-dominguez, A. Herment et al., Evaluation of regional myocardial function using automated wall motion analysis of cine MR images: Contribution of parametric images, contraction times, and radial velocities, Journal of Magnetic Resonance Imaging, vol.81, issue.4, pp.1127-1132, 2007.
DOI : 10.1002/jmri.21103

R. E. Berbari, I. Bloch, A. Redheuil, E. Angelini, E. Mousseaux et al., An automated myocardial segmentation in cardiac MRI, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp.4508-4511, 2007.
DOI : 10.1109/IEMBS.2007.4353341

URL : https://hal.archives-ouvertes.fr/inserm-00194347

C. Allouche, S. Makram-ebeid, M. Stuber, N. Ayache, and H. Delingette, New methods and algorithme for the accurate, real-time, motion analysis of the left ventricule with mri-tagging, Computer Assisted Radiology and Surgery (CARS'J001), pp.911-916, 2001.

C. Allouche, Automatic, real-time processing of spamm-tagged myocardium images with a software-improved tag resolution, Meeting of the International Society for Magnetic Resonance in Medicine (ISM- RM'01), 2001.

D. Ennis, F. Epstein, E. Mcveigh, and A. Arai, Mr tagging of the entire cardiac cycle : regional analysis of normal subjects an hypertrophic cardiomyopathy using a new quantity for assessment of regional cardiac fonction, Meeting of the International Society for Magnetic Resonance in Medicine (ISMRM'01), 2001.

I. Haber, D. Metaxas, and L. Axel, Using tagged MRI to reconstruct a 3D heartbeat, Computing in Science & Engineering, vol.2, issue.5, pp.18-30, 2000.
DOI : 10.1109/5992.877384

N. Osman and J. Prince, Imaging heart motion using harmonic phase MRI, IEEE Transactions on Medical Imaging, vol.19, issue.3, pp.186-202, 2000.
DOI : 10.1109/42.845177

C. Oztürk and E. Mcveigh, Motion analysis of both ventricles using tagged-mri in paced canine hearts, Meeting of the International Society for Magnetic Resonance in Medicine (ISMRM'00), p.1612, 2000.

W. O. Dell and A. Mcculloch, Imaging Three-Dimensional Cardiac Function, Annual Review of Biomedical Engineering, vol.2, issue.1, pp.431-456, 2000.
DOI : 10.1146/annurev.bioeng.2.1.431

A. Frangi, W. Niessen, and M. Viergever, Three-dimensional modeling for functional analysis of cardiac images, a review, IEEE Transactions on Medical Imaging, vol.20, issue.1, pp.2-25, 2001.
DOI : 10.1109/42.906421

A. Amini and J. Prince, Measurement of Cardiac Deformations from MRI : Physical and Mathematical Models, 2002.
DOI : 10.1007/978-94-015-1265-7

W. Kerwin, N. Osman, and J. Prince, Image processing and analysis in tagged cardiac MRI, Handbook of Medical Imaging, pp.375-391, 2000.

J. Barron, S. Beauchemin, and D. Fleet, Performance of optical flow techniques, pp.43-77, 1994.

C. Stiller and J. Konrad, Estimating motion in image sequences, IEEE Signal Processing Magazine, vol.16, issue.4, pp.70-91, 1999.
DOI : 10.1109/79.774934

H. Haussecker, H. Spies, . Motion, and . Diego, CA : HandBook of Computer Vision and Applications, pp.309-392, 1999.

J. L. Prince and E. R. Mcveigh, Motion estimation from tagged MR image sequences, IEEE Transactions on Medical Imaging, vol.11, issue.2, pp.238-249, 1992.
DOI : 10.1109/42.141648

S. N. Gupta and J. L. Prince, On variable brightness optical flow for tagged mri, Information Processing in Medical Imaging, 1995.

S. Gupta, J. Prince, and S. Androutsellis-theotokis, Bandpass optical flow for tagged mri, IEEE International Conference on Image Processing (ICIP'97, pp.364-367, 1997.

T. Denney and J. Prince, Optimal brightness fonctions for optical flow estimation of deformable motion, IEEE Transactions on Medical Imaging, vol.3, issue.2, pp.178-191, 1994.

L. Dougherty, J. Asmuth, A. Blom, L. Axel, and R. Kumar, Validation of an optical flow method for tag displacement estimation, IEEE Transactions on Medical Imaging, vol.18, issue.4, pp.359-363, 1999.
DOI : 10.1109/42.768845

D. Kraitchman, A. Young, C. C. , and L. Axel, Semi-automatic tracking of myocardial motion in MR tagged images, IEEE Transactions on Medical Imaging, vol.14, issue.3, pp.422-433, 1995.
DOI : 10.1109/42.414606

A. Young, D. Kraitchman, L. Dougherty, and L. Axel, Tracking and finite element analysis of stripe deformation in magnetic resonance tagging, IEEE Transactions on Medical Imaging, vol.14, issue.3, pp.413-421, 1995.
DOI : 10.1109/42.414605

M. Guttman, E. Zerhouni, and E. Mcveigh, Analysis of cardiac function from MR images, IEEE Computer Graphics and Applications, vol.17, issue.1, pp.30-38, 1997.
DOI : 10.1109/38.576854

M. Guttman, J. Prince, and E. Mcveigh, Tag and contour detection in tagged MR images of the left ventricle, IEEE Transactions on Medical Imaging, vol.13, issue.1, pp.74-88, 1994.
DOI : 10.1109/42.276146

M. Guttman, E. Zerhouni, and E. Mcveigh, Fast contourless tag segmentation and displacement estimation for analysis of myocardial motion, Joint meeting of Society of Magnetic Resonance, p.41, 1995.

T. Denney, Estimation and detection of myocardial tags in mr images without prior knowledge of myocardial contours, IEEE Transactions on Medical Imaging, vol.8, issue.4, pp.330-344, 1999.

E. Atalar and E. Mcveigh, Optimization of tag thickness for measuring position with magnetic resonance imaging, IEEE Transactions on Medical Imaging, vol.13, issue.1, pp.152-160, 1994.
DOI : 10.1109/42.276154

M. Kass, A. Witkin, and D. Terzopoulos, Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-332, 1988.
DOI : 10.1007/BF00133570

N. Rougon, Eléments pour la reconnaissance de formes 3d déformables -application à l'imagerie biomédicale, Ph.D. dissertation, ENST, 1993.

S. Kumar and D. Goldgof, Automatic tracking of SPAMM grid and the estimation of deformation parameters from cardiac MR images, IEEE Transactions on Medical Imaging, vol.13, issue.1, pp.122-132, 1994.
DOI : 10.1109/42.276150

P. Radeva, A. Amini, J. Huang, and E. Marti, Deformable B-Solids and Implicit Snakes for 3D Localization and Tracking of SPAMM MRI Data, IEEE/SIAM Mathemnatical Methods in Biomedical Image Analysis (MMBIA'96), pp.192-201, 1996.
DOI : 10.1006/cviu.1997.0611

A. Amini, Y. Chen, and R. Curwen, Coupled B-snake grids and constrained thin-plate splines for analysis of 2-D tissue deformations from tagged MRI, IEEE Transactions on Medical Imaging, vol.17, issue.3, pp.344-356, 1998.
DOI : 10.1109/42.712124

J. Huang, D. Abendschein, V. Dàvila-romàn, and A. Amini, Spatio-temporal tracking of myocardial deformations with a 4-D B-spline model from tagged MRI, IEEE Transactions on Medical Imaging, vol.18, issue.10, pp.957-972, 1999.
DOI : 10.1109/42.811299

A. Amini, P. Radeva, M. Ellayyadi, W. Mcbride, D. Li et al., Non-invasive placement and 3D tracking of myocardial beads with SPAMM-tagged magnetic resonance imaging, Computers in Cardiology 1998. Vol. 25 (Cat. No.98CH36292), pp.745-748, 1998.
DOI : 10.1109/CIC.1998.731981

Y. Wang, Y. Chen, and A. Amini, Fast LV motion estimation using subspace approximation techniques, IEEE Transactions on Medical Imaging, vol.20, issue.6, pp.499-513, 2001.
DOI : 10.1109/42.929616

J. Declerck, N. Ayache, and E. Mcveigh, <title>Use of a 4D planispheric transformation for the tracking and analysis of LV motion with tagged MR images</title>, Medical Imaging 1999: Physiology and Function from Multidimensional Images, 1998.
DOI : 10.1117/12.349625

C. Oztürk and E. Mcveigh, <title>Four-dimensional B-spline-based motion analysis of tagged cardiac MR images</title>, Medical Imaging 1999: Physiology and Function from Multidimensional Images, pp.45-56, 1999.
DOI : 10.1117/12.349623

P. Clarysse, C. Basset, L. Khouas, P. Croisille, D. Friboulet et al., Two-dimensional spatial and temporal displacement and deformation field fitting from cardiac magnetic resonance tagging, Medical Image Analysis, vol.4, issue.3, pp.253-268, 2000.
DOI : 10.1016/S1361-8415(00)00018-9

W. O. Dell, C. Moore, W. Hunier, E. Zerhouni, and E. Mcveigh, Three-dimensional myocardial deformations: calculation with displacement field fitting to tagged MR images., Radiology, vol.195, issue.3, pp.829-835, 1995.
DOI : 10.1148/radiology.195.3.7754016

J. Declerck, T. Denney, C. Oztürk, W. O. Dell, and E. Mcveigh, Lv motion reconstruction from tagged mri : A comparison, Meeting of the International Society for Magnetic Resonance in Medicine (ISMRM'99), p.1283, 1999.
URL : https://hal.archives-ouvertes.fr/inria-00615825

J. Park, D. Metaxas, A. Young, and L. Axel, Analysis of left ventricular wall motion based on volumetric deformable models and MRI-SPAMM, Medical Image Analysis, vol.1, issue.1, pp.53-71, 1996.
DOI : 10.1016/S1361-8415(01)80005-0

T. Denney and J. L. Prince, Reconstruction of 3-D left ventricular motion from planar tagged cardiac MR images: an estimation theoretic approach, IEEE Transactions on Medical Imaging, vol.14, issue.4, pp.625-635, 1995.
DOI : 10.1109/42.476104

T. Denney, Estimation of left ventricular displacement from magnetic resonance phase contrast and tagging data, Image and Multidimensional Signal Processingg Workshop, 1996.

D. Fleet and A. Jepson, Stability of phase information, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.15, issue.12, pp.1253-1268, 1993.
DOI : 10.1109/34.250844

N. Osman and J. Prince, Angle images for measuring heart motion from tagged MRI, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), pp.704-708, 1998.
DOI : 10.1109/ICIP.1998.723594

T. Nguyen, S. Reeves, and T. Denney, New magnetic resonance tagging technique for directly measuring the strain tensor of the in vivo human heart, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), pp.694-698, 1998.
DOI : 10.1109/ICIP.1998.723592

N. Osman and J. Prince, An integrated system for measuring regional cardiac function using harmonic phase mri, Meeting of the International Society for Magnetic Resonance in Medicine (ISMRM'00), p.1551, 2000.

E. Bayram, C. Hamilton, and W. Hundley, MR tagging from a signal processing perspective, 2001 Conference Proceedings of the 23rd Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp.2488-2491, 2001.
DOI : 10.1109/IEMBS.2001.1017283

J. Garot, D. A. Bluemke, N. F. Osman, C. E. Rochitte, E. M. et al., Fast Determination of Regional Myocardial Strain Fields From Tagged Cardiac Images Using Harmonic Phase MRI, Circulation, vol.101, issue.9, pp.981-988, 2000.
DOI : 10.1161/01.CIR.101.9.981

P. Oldershaw and A. Bishop, The difficulties of assessing right ventricular function., Heart, vol.74, issue.2, pp.99-100, 1995.
DOI : 10.1136/hrt.74.2.99

H. Naito, J. Arisawa, K. Harada, H. Yamagami, T. Kozuka et al., Assessment of right ventricular regional contraction and comparison with the left ventricle in normal humans: a cine magnetic resonance study with presaturation myocardial tagging., Heart, vol.74, issue.2, pp.186-191, 1995.
DOI : 10.1136/hrt.74.2.186

S. Klein, T. Graham, and C. Lorenz, Noninvasive Delineation of Normal Right Ventricular Contractile Motion With Magnetic Resonance Imaging Myocardial Tagging, Annals of Biomedical Engineering, vol.26, issue.5, pp.756-763, 1998.
DOI : 10.1114/1.75

A. Young, Z. Fayad, and L. Axel, Right ventricular midwall surface motion and deformation using magnetic resonance tagging, American Journal of Physiology : Heart and Circulatory Physiology, vol.271, pp.2677-2688, 1996.

Z. Fayad, V. Ferrari, D. Kraitchman, A. Young, H. Palevsky et al., Right ventricular regional function using MR tagging: Normals versus chronic pulmonary hypertension, Magnetic Resonance in Medicine, vol.92, issue.1, pp.116-123, 1998.
DOI : 10.1002/mrm.1910390118

M. Sacks, C. Chuong, G. Templeton, and R. Peshock, In vivo 3-D reconstruction and geometric characterization of the right ventricular free wall, Annals of Biomedical Engineering, vol.47, issue.3, pp.263-275, 1993.
DOI : 10.1007/BF02368182

S. Denslow, H. Wiles, L. Mckellar, N. Wright, and P. Gillette, Right Ventricular Volume Estimation Using an Ellipsoidal Shell Model and Single-Plane Magnetic Resonance Imaging, Investigative Radiology, vol.31, issue.1, pp.17-25, 1996.
DOI : 10.1097/00004424-199601000-00004

Q. Pham, F. Vincent, P. Clarysse, P. Croisille, and I. Magnin, A fembased deformable model for the 3d segmentation and tracking of the heart in cardiac mri, International Workshop on Image and Signal Processing and Analysis, pp.250-254, 2001.

Q. Pham, Segmentation et mise en correspondance en imagerie cardiaque multimodale conduites par un modèle anatomique bi-cavités du coeur, 2002.

F. Vincent, P. Clarysse, P. Croisille, and I. Magnin, Segmentation et suivi de mouvement d'objets déformables par région active, 17ème colloque GRETSI, pp.163-166, 1999.

F. Vincent, Gabarits déformables élastiques pour la segmentation et le suivi de mouvement du coeur en imagerie par résonance magnétique, 2001.

L. Axel, A. Montillo, and D. Kim, Tagged magnetic resonance imaging of the heart: a survey, Medical Image Analysis, vol.9, issue.4, pp.376-393, 2005.
DOI : 10.1016/j.media.2005.01.003

C. Davatzikos, J. Prince, and R. Bryan, Image registration based on boundary mapping, IEEE Transactions on Medical Imaging, vol.15, issue.1, pp.112-115, 1996.
DOI : 10.1109/42.481446

W. Peckar, C. Schnörr, K. Rohr, and H. Stiehl, Parameter-free elastic deformation approach for 2d and 3d registration using prescribed displacements, Journal of Mathematical Imaging and Vision, vol.10, issue.2, pp.143-162, 1999.
DOI : 10.1023/A:1008375006703

S. Osher and J. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2

R. Malladi, J. Sethian, and B. Vemuri, Evolutionary fronts for topologyindependent shape modeling and recovery, ECCV '94 : Proceedings of the third European conference on Computer vision, pp.3-13, 1994.

J. A. Sethian, Level Set Methods and Fast Marching Methods, 1999.

V. Caselles, R. Kimmel, and G. Sapiro, Geodesic active contours, Proceedings of IEEE International Conference on Computer Vision, pp.694-699, 1995.
DOI : 10.1109/ICCV.1995.466871

S. Kichenassamy, A. Kumar, P. Olver, A. Tannenbaum, and A. Yezzi, Gradient flows and geometric active contour models, Proceedings of IEEE International Conference on Computer Vision, p.810, 1995.
DOI : 10.1109/ICCV.1995.466855

URL : https://hal.archives-ouvertes.fr/hal-00002665

M. Gage and R. Hamilton, The heat equation shrinking convex plane curves, Journal of Differential Geometry, vol.23, issue.1, pp.69-96, 1986.
DOI : 10.4310/jdg/1214439902

M. Grayson, The heat equation shrinks embedded plane curves to round points, Journal of Differential Geometry, vol.26, issue.2, pp.285-314, 1987.
DOI : 10.4310/jdg/1214441371

Y. Chen, Y. Giga, and S. Goto, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, Journal of Differential Geometry, vol.33, issue.3, pp.749-786, 1991.
DOI : 10.4310/jdg/1214446564

L. Vincent, Mophological grayscale reconstruction in image analysis : Applications and efficient algorithms, IEEE Transactions on Image Processing, vol.2, issue.2, 1993.

P. Besl and H. Mckay, A method for registration of 3-D shapes, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.14, issue.2, pp.239-256, 1992.
DOI : 10.1109/34.121791

K. Benhajel, Etude et modélisation de la fonction cardiaque par analyse numérique d'images, 2003.

Z. Zhang, Iterative point matching for registration of free-form curves and surfaces, International Journal of Computer Vision, vol.7, issue.3, pp.119-152, 1994.
DOI : 10.1007/BF01427149

J. Feldmar and N. Ayache, Locally affine registration of free-form surfaces, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition CVPR-94, pp.496-501, 1994.
DOI : 10.1109/CVPR.1994.323872

URL : https://hal.archives-ouvertes.fr/inria-00615706

Y. Chenoune, Estimation des déformations myocardiques par analyse d'images, 2008.

B. Horn and B. Schunck, Determining optical flow, Artificial Intelligence, vol.17, issue.1-3, 1980.
DOI : 10.1016/0004-3702(81)90024-2

J. Duchon, Interpolation des fonctions de deux variables suivant le principe de la flexion des plaques minces, Revue fran??aise d'automatique, informatique, recherche op??rationnelle. Analyse num??rique, vol.10, issue.R3, pp.5-12, 1976.
DOI : 10.1051/m2an/197610R300051

J. Meinguet, Multivariate interpolation at arbitrary points made simple, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), pp.292-304, 1979.
DOI : 10.1007/BF01601941

Y. Notomi, R. Setser, and T. Shiota, Assessment of left ventricular torsional deformation by doppler tissue imaging validation study with tagged magnetic resonance imaging, Circulation, 2004.

C. Lorenz, J. Pastorek, and J. Bundy, Function: Delineation of Normal Human Left Ventricular Twist Throughout Systole by Tagged Cine Magnetic Resonance Imaging, Journal of Cardiovascular Magnetic Resonance, vol.2, issue.2, pp.97-108, 2000.
DOI : 10.3109/10976640009148678

S. Randrianarisolo, E. Deléchelle, E. Petit, J. Garot, and A. Rahmouni, Evaluation des déformations du myocarde sur des séquences temporelles d'images irm par éstimation contrainte du flot optique, Gretsi, 20ème Colloque, 2005.

W. Hinshaw and A. Lent, An introduction to NMR imaging: From the Bloch equation to the imaging equation, Proceedings of the IEEE, vol.71, issue.3, pp.338-350, 1983.
DOI : 10.1109/PROC.1983.12592

G. Wright, Magnetic resonance imaging, IEEE Signal Processing Magazine, vol.14, issue.1, pp.56-66, 1997.
DOI : 10.1109/79.560324

URL : https://hal.archives-ouvertes.fr/inria-00615582

E. Zerhouni, D. Parish, W. Rogers, A. Yang, and E. Shapiro, Human heart: tagging with MR imaging--a method for noninvasive assessment of myocardial motion., Radiology, vol.169, issue.1, pp.59-63, 1988.
DOI : 10.1148/radiology.169.1.3420283

L. Dougherty, Mr imaging of motion with spatial modulation of magnetization, Radiology, vol.171, pp.841-846, 1989.

M. Stone, E. Davis, A. Douglas, M. Nessaiver, R. Gullapalli et al., Modeling the motion of the internal tongue from tagged cine-MRI images ???, The Journal of the Acoustical Society of America, vol.109, issue.6, pp.74-82, 2001.
DOI : 10.1121/1.1344163

Q. Chen, V. Mai, A. Bankier, V. Napadow, R. Gilbert et al., Ultrafast MR grid-tagging sequence for assessment of local mechanical properties of the lungs, Magnetic Resonance in Medicine, vol.17, issue.1, pp.24-32, 2001.
DOI : 10.1002/1522-2594(200101)45:1<24::AID-MRM1004>3.0.CO;2-6

V. Napadow, V. Mai, A. Bankier, R. Gilbert, R. Edelman et al., Determination of regional pulmonary parenchymal strain during normal respiration using spin inversion tagged magnetization MRI, Journal of Magnetic Resonance Imaging, vol.191, issue.3, pp.467-74, 2001.
DOI : 10.1002/jmri.1068

S. Tsushima, T. S. Hasegawab, S. Hiraia, Y. Tanakac, and Y. Nakasujic, Velocity measurement of clay intrusion through a sudden contraction step using a tagging pulse sequence, Magnetic Resonance Imaging, vol.21, issue.6, pp.673-677, 2003.
DOI : 10.1016/S0730-725X(03)00095-X

E. Zerhouni, D. Parish, W. Rogers, A. Yang, and E. Shapiro, Human heart: tagging with MR imaging--a method for noninvasive assessment of myocardial motion., Radiology, vol.169, issue.1, pp.59-63, 1988.
DOI : 10.1148/radiology.169.1.3420283

B. Bolster, E. Mcveigh, and E. Zerhouni, Myocardial tagging in polar coordinates with use of striped tags., Radiology, vol.177, issue.3, pp.769-772, 1990.
DOI : 10.1148/radiology.177.3.2243987

T. Mosher and M. Smith, A DANTE tagging sequence for the evaluation of translational sample motion, Magnetic Resonance in Medicine, vol.75, issue.2, pp.334-339, 1990.
DOI : 10.1002/mrm.1910150215

E. Mcveigh and E. Atalar, Cardiac Tagging with Breath-Hold Cine MRI, Magnetic Resonance in Medicine, vol.15, issue.2, pp.318-327, 1992.
DOI : 10.1002/mrm.1910280214

S. Fischer, G. Mckinnon, S. Maier, and P. Boesiger, Improved myocardial tagging contrast, Magnetic Resonance in Medicine, vol.6, issue.2, pp.191-200, 1993.
DOI : 10.1002/mrm.1910300207

M. Stuber, M. Spiegel, S. Fischer, M. Scheidegger, P. Danias et al., Single breath-hold slice-following CSPAMM myocardial tagging, Magma: Magnetic Resonance Materials in Physics, Biology, and Medicine, vol.1, issue.1-2, pp.85-91, 1999.
DOI : 10.1007/BF02634597

N. Pelc, R. Herfkens, A. Shimawa, and D. Enzmann, Phase constrast cine magnetic resonance imaging, Magnetic Resonance Quarterly, vol.7, issue.4, pp.229-254, 1991.

W. Perman, L. Creswell, S. Wyers, M. Moulton, and M. Pasque, Hybrid dante and phase-contrast imaging technique for measurement of three- dimensional myocardial wall motion, Journal of Magnetic Resonance Imaging, vol.183, issue.1, pp.101-106, 1995.
DOI : 10.1002/jmri.1880050118

P. V. Dijk, Direct Cardiac NMR Imaging of Heart Wall and Blood Flow Velocity, Journal of Computer Assisted Tomography, vol.8, issue.3, pp.429-436, 1984.
DOI : 10.1097/00004728-198406000-00012

G. Nayler, N. Firmin, and D. Longmore, Blood Flow Imaging by Cine Magnetic Resonance, Journal of Computer Assisted Tomography, vol.10, issue.5, pp.715-722, 1986.
DOI : 10.1097/00004728-198609000-00001

N. Pelc, R. Herfkens, and L. Pelc, 3d analysis of myocardial motion and deformation with phase contrast cine mri, Proceedings of the 11th Annual SMRM, 1992.

N. Pelc, R. Herfkens, A. Shimakawa, and D. Enzmann, Phase contrast cine magnetic resonance imaging, Magn. Res. Quart, vol.7, issue.4, pp.229-254, 1991.

P. Shi, A. J. Sinusas, R. T. Constable, and J. S. Duncan, Volumetric deformation analysis using mechanics-based data fusion : Applications in cardiac motion recovery, International Journal of Computer Vision, vol.35, issue.1, pp.65-85, 1999.

W. Tseng, T. Reese, R. Veisskoff, T. Brady, and V. Wedeen, Myocardial Fiber Shortening in Humans: Initial Results of MR Imaging, Radiology, vol.216, issue.1, pp.128-139, 2000.
DOI : 10.1148/radiology.216.1.r00jn39128

E. Hsu, A. Muzikant, S. Matulevicius, R. Penland, and C. Henriquez, Magnetic resonance myocardial fiber orientation mapping with direct histological correlation, American Journal of Physiology, vol.274, pp.1627-1634, 1998.

D. Scollan, A. Holmes, R. W. Et, and J. Forder, Histological validation of myocardial microstructure obtained from diffusion tensor magnetic resonance imaging, American Journal of Physiology, vol.275, pp.2308-2318, 1998.

W. O. Dell, V. Wedeen, T. Reese, and A. Mcculloch, Histological validation of mr diffusion imaging for myocardial fiber architecture analysis, Meeting of the International Society for Magnetic Resonance in Medicine (ISMRM'97), 1997.

T. Reese, R. Weisskoff, R. Smith, R. Rosen, V. Dinsmore et al., Imaging myocardial fiber architecturein vivo with magnetic resonance, Magnetic Resonance in Medicine, vol.19, issue.6, pp.786-791, 1995.
DOI : 10.1002/mrm.1910340603

W. Tseng, T. Reese, R. Weisskoff, and V. Wedeen, Cardiac diffusion tensor MRI in vivo without strain correction, Magnetic Resonance in Medicine, vol.42, issue.2, pp.393-403, 1999.
DOI : 10.1002/(SICI)1522-2594(199908)42:2<393::AID-MRM22>3.3.CO;2-6