A. Amini and J. Duncan, Bending and stretching models for LV wall motion analysis from curves and surfaces, Image and Vision Computing, pp.418-430, 1992.
DOI : 10.1016/0262-8856(92)90027-Z

T. Arts, W. C. Hunter, A. Douglas, A. M. Muijtjens, and R. S. And-reneman, Description of the deformation of the left ventricle by a kinematic model, Journal of Biomechanics, vol.25, issue.10, pp.25-1119, 1992.
DOI : 10.1016/0021-9290(92)90068-C

E. Bardinet, L. D. Cohen, and N. Ayache, Tracking medical 3D data with a parametric deformable model, IEEE Computer Vision Symposium, 1995.
URL : https://hal.archives-ouvertes.fr/inria-00615745

E. Bardinet, L. D. Cohen, and N. Ayache, Tracking and motion analysis of the left ventricle with deformable superquadrics, Medical Image Analysis, vol.1, issue.2, pp.129-149, 1996.
DOI : 10.1016/S1361-8415(96)80009-0
URL : https://hal.archives-ouvertes.fr/inria-00615059

S. Benayoun, C. Nastar, and N. Ayache, Dense Non-Rigid Motion Estimation in Sequences of 3D Images Using Differential Constraints, Computer Vision, pp.309-318, 1995.
DOI : 10.1007/978-3-540-49197-2_40

P. Besl and N. 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

P. Clarysse, O. Jaouen, I. Magnin, and J. M. Morvan, 3D boundary extraction of the left ventricle by a deformable model with a priori information, Proceedings., International Conference on Image Processing, 1995.
DOI : 10.1109/ICIP.1995.537523

J. J. De-murcia, Reconstruction d'images cardiaques en tomographie d'´ emission monophotoniquè a l'aide de modèles spatiotemporels ´ Etude de la dynamique cardiaque par analyse d'images tridimensionnelles, 1996.

J. Declerck, . Feldmar, and N. Ayache, Definition of a 4D continuous polar transformation for the tracking and the analysis of LV motion, Computer Vision, Virtual Reality and Robotics in Medicine II -Medical Robotics and Computer Assisted Surgery III, pp.33-42, 1997.
DOI : 10.1007/BFb0029222
URL : https://hal.archives-ouvertes.fr/inria-00073654

J. Declerck, J. Feldmar, M. L. Goris, and F. Betting, Automatic registration and alignment on a template of cardiac stress & rest SPECT images, Mathematical Methods in Biomedical Image Analysis, pp.212-221, 1996.
URL : https://hal.archives-ouvertes.fr/inria-00615069

T. S. Denney and J. L. Prince, 3D displacement field reconstruction from planar tagged cardiac MR images, Proceedings of IEEE Workshop on Biomedical Image Analysis, pp.51-60, 1994.
DOI : 10.1109/BIA.1994.315866

G. Farin, Curves and Surfaces for Computer Aided Geometric Design, 1989.

J. Feldmar, Recalage rigide, non-rigide et projectif d'images médicales tridimensionnelles, 1995.

J. Feldmar and N. Ayache, Rigid, affine and locally affine registration of free-form surfaces, International Journal of Computer Vision, vol.13, issue.2, pp.99-119, 1996.
DOI : 10.1007/BF00054998
URL : https://hal.archives-ouvertes.fr/inria-00074451

D. Goldgof, H. Lee, and T. Huang, Motion analysis of nonrigid surfaces, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition, pp.375-380, 1988.
DOI : 10.1109/CVPR.1988.196262

J. M. Gorce, D. Friboulet, and I. E. Magnin, Estimation of three-dimensional cardiac velocity fields: assessment of a differential method and application to three-dimensional CT data, Medical Image Analysis, vol.1, issue.3, pp.1-16, 1997.
DOI : 10.1016/S1361-8415(97)85013-X

P. J. Hunter and B. H. Smaill, The analysis of cardiac function: A continuum approach, Progress in Biophysics and Molecular Biology, vol.52, issue.2, pp.101-164, 1988.
DOI : 10.1016/0079-6107(88)90004-1

D. Kraitchman, A. Young, C. N. Chang, A. , and L. , 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. Matheny and D. Goldgof, The use of three- and four-dimensional surface harmonics for rigid and nonrigid shape recovery and representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.17, issue.10, pp.967-978, 1995.
DOI : 10.1109/34.464561

J. C. Mceachen, A. Nehorai, D. , and J. S. , 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

T. Mcinerney and D. Terzopoulos, A dynamic finite element surface model for segmentation and tracking in multidimensional medical images with application to cardiac 4D image analysis, Computerized Medical Imaging and Graphics, vol.19, issue.1, pp.69-83, 1995.
DOI : 10.1016/0895-6111(94)00040-9

E. Mcveigh, MRI of myocardial function: motion tracking techniques, Magnetic Resonance Imaging, vol.14, issue.2, pp.137-150, 1996.
DOI : 10.1016/0730-725X(95)02009-I

F. G. Meyer, R. Todd-constable, A. Sinusas, D. , and J. , Tracking myocardial deformation using spatially-constrained velocities, Information Processing in Medical Imaging, pp.177-188, 1995.

O. Monga, R. Deriche, R. , and J. M. , 3D edge detection using recursive filtering: application to scanner images, Computer Vision, Graphics and Image Processing, vol.53, issue.1, pp.76-87, 1991.
URL : https://hal.archives-ouvertes.fr/inria-00075626

C. Nastar, Vibration modes for non-rigid motion analysis in 3D images, European Conference in Computer Vision, number 800 in Lecture Notes in Computer Science, pp.231-236, 1994.

O. Donnell, T. Gupta, A. Boult, and T. , A periodic generalized cylinder model with local deformations for tracking closed contours exhibiting repeating motion, IEEE Workshop on Biomedical Image Analysis, pp.397-402, 1994.

J. Park, D. Metaxas, A. , and L. , 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

J. Park, D. Metaxas, Y. , and A. , Deformable models with parameter functions: application to heart-wall modeling, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition CVPR-94, pp.437-442, 1994.
DOI : 10.1109/CVPR.1994.323863

X. Pennec and N. Ayache, Randomness and geometric features in computer vision, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 1996.
DOI : 10.1109/CVPR.1996.517116
URL : https://hal.archives-ouvertes.fr/inria-00073871

F. P. Preparata and M. I. Shamos, Computational geometry, an introduction, 1985.

P. Radeva, A. Amini, J. Huang, M. , and E. , Deformable B-Solids and Implicit Snakes for 3D Localization and Tracking of SPAMM MRI Data, Mathematical Methods in Biomedical Image Analysis, pp.192-201, 1996.
DOI : 10.1006/cviu.1997.0611

J. Risler, Méthodes mathématiques pour la CAO, 1991.

R. Schudy and D. Ballard, A computer model for extracting moving heart surfaces from four-dimensional cardiac ultrasound images, Third International Conference on Computer Vision, pp.366-376, 1979.

P. Shi, A. Amini, G. Robinson, A. Sinusas, C. T. Constable et al., Shape-based 4D left ventricular myocardial function analysis, Proceedings of IEEE Workshop on Biomedical Image Analysis, pp.88-97, 1994.
DOI : 10.1109/BIA.1994.315862

P. Shi, G. Robinson, A. Chakraborty, L. Staib, R. Constable et al., A Unified Framework to Assess Myocardial Function from 4D Images, Computer Vision, pp.327-337, 1995.
DOI : 10.1007/978-3-540-49197-2_42

S. M. Song, R. M. Leahy, D. P. Boyd, B. H. Brundage, and S. Napel, Determining cardiac velocity fields and intraventricular pressure distribution from a sequence of ultrafast CT cardiac images, IEEE Transactions on Medical Imaging, vol.13, issue.2, pp.386-397, 1994.
DOI : 10.1109/42.293931

J. Thirion, Fast non-rigid matching of 3D medical images, Medical Robotics and Computer Aided Surgery, pp.47-54, 1995.
URL : https://hal.archives-ouvertes.fr/inria-00615696

T. Constable, R. T. Rath, K. M. Sinusas, A. J. Gore, and J. C. , Development and evaluation of tracking algorithms for cardiac wall motion analysis using phase velocity MR imaging, Magnetic Resonance Medicine, pp.33-42, 1994.
DOI : 10.1002/mrm.1910320106

E. Waks, J. Prince, and A. Douglas, Cardiac motion simulator for tagged MRI, Proceedings of the Workshop on Mathematical Methods in Biomedical Image Analysis, pp.182-191, 1996.
DOI : 10.1109/MMBIA.1996.534070

A. Young, D. Kraitchman, L. Dougherty, A. , and L. , 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

A. A. Young, C. K. Kramer, V. A. Ferrari, L. Axel, R. et al., Three-dimensional left ventricular deformation in hypertrophic cardiomyopathy, Circulation, vol.90, issue.2, pp.854-867, 1994.
DOI : 10.1161/01.CIR.90.2.854

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