V. Arsigny, P. Fillard, X. Pennec, and N. Ayache, Log-Euclidean metrics for fast and simple calculus on diffusion tensors, Magnetic Resonance in Medicine, vol.52, issue.2, pp.411-421, 2006.
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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.
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N. Ayache, Epidaure: a research project in medical image analysis, simulation, and robotics at INRIA, IEEE Transactions on Medical Imaging, vol.22, issue.10, pp.1185-1201, 2003.
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E. Ayache, Computational Models for the Human Body. Handbook of Numerical Analysis (Ph. Ciarlet series editor), 2004.
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N. Ayache, J. Boissel, S. Brunak, G. Clapworthy, G. Lonsdale et al., Towards virtual physiological human: Multilevel modelling and simulation of the human anatomy and physiology, Virtual Physiological Human: White paper, EC -DG INFSO and DG JRC, 2006.

M. E. Belik, T. P. Usyk, and A. D. Mcculloch, Computational Methods for Cardiac Electrophysiology, Computational Models for the Human Body, pp.129-187, 2004.
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J. Bestel, F. Clément, and M. Sorine, A Biomechanical Model of Muscle Contraction, Proc. of International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI'01), pp.1159-1161, 2001.
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J. Boisvert, X. Pennec, H. Labelle, F. Cheriet, and N. Ayache, Principal Spine Shape Deformation Modes Using Riemannian Geometry and Articulated Models, Proc of the IV Conference on Articulated Motion and Deformable Objects, pp.11-14, 2006.
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D. Chapelle, F. Clément, F. Génot, P. L. Tallec, M. Sorine et al., A Physiologically-Based Model for the Active Cardiac Muscle Contraction, Functional Imaging and Modeling of the Heart (FIMH'01), 2001.
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O. Clatz, M. Sermesant, P. Bondiau, H. Delingette, S. K. Warfield et al., Realistic simulation of the 3-D growth of brain tumors in MR images coupling diffusion with biomechanical deformation, IEEE Transactions on Medical Imaging, vol.24, issue.10, pp.1334-1346, 2005.
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O. Commowick, R. Stefanescu, P. Fillard, V. Arsigny, N. Ayache et al., Incorporating Statistical Measures of Anatomical Variability in Atlas-to-Subject Registration for Conformal Brain Radiotherapy, Proceedings of the 8th Int. Conf. on Medical Image Computing and Computer-Assisted Intervention -MICCAI 2005, Part II, pp.927-934, 2005.
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S. Cotin, H. Delingette, and N. Ayache, A hybrid elastic model allowing real-time cutting, deformations and force-feedback for surgery training and simulation. The Visual Computer, pp.437-452, 2000.
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J. G. Csernansky, L. Wang, S. C. Joshi, J. T. Ratnanather, and M. I. Miller, Computational anatomy and neuropsychiatric disease: probabilistic assessment of variation and statistical inference of group difference, hemispheric asymmetry, and time-dependent change, Special Issue: Mathematics in Brain Imaging, pp.56-68, 2004.
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H. Delingette, X. Pennec, L. Soler, J. Marescaux, and N. Ayache, Computational Models for Image-Guided Robot-Assisted and Simulated Medical Interventions, Proceedings of the IEEE, pp.1678-1688, 2006.
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J. Duncan and N. Ayache, Medical image analysis: progress over two decades and the challenges ahead, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.22, issue.1, pp.85-106, 2000.
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P. Fillard, V. Arsigny, X. Pennec, K. M. Hayashi, P. M. Thompson et al., Measuring brain variability by extrapolating sparse tensor fields measured on sulcal lines, NeuroImage, vol.34, issue.2, pp.639-650, 2006.
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C. Forest, H. Delingette, and N. Ayache, Removing tetrahedra from manifold tetrahedralisation: application to real-time surgical simulation, Medical Image Analysis, vol.9, issue.2, pp.113-122, 2005.
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C. Fouard, G. Malandain, S. Prohaska, and M. Westerhoff, Blockwise processing applied to brain microvascular network study, IEEE Transactions on Medical Imaging, vol.25, issue.10, pp.1319-1328, 2006.
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C. Nick, J. Fox, and . Schott, Imaging cerebral atrophy: normal ageing to Alzheimer's disease, Lancet, issue.9406, p.363, 2004.

L. France, A. Angelidis, P. Meseure, M. P. Cani, J. Lenoir et al., Implicit representations of the human intestines for surgery simulations, Conference on Modelling and Simulation for Computer-aided Medicine and Surgery (MS4CMS'02 European Series in Applied and Industrial Mathematics, pp.1-7, 2002.
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A. F. Frangi, W. J. Niessen, and M. A. 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.
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C. Germain, V. Breton, P. Clarysse, Y. Gaudeau, T. Glatard et al., Grid-enabling medical image analysis, CCGrid 2005. IEEE International Symposium on Cluster Computing and the Grid, 2005., pp.339-349, 2004.
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S. Jbabdi, . Mandonnet, . Duffau, K. Capelle, M. Swanson et al., Simulation of anisotropic growth of low-grade gliomas using diffusion tensor imaging, Magnetic Resonance in Medicine, vol.6, issue.3, pp.616-624, 2005.
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E. Konukoglu, O. Clatz, P. Bondiau, H. Delingette, and N. Ayache, Extrapolating Tumor Invasion Margins for Physiologically Determined Radiotherapy Regions, Proc. of the 9th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI'06), Part I, number 4190 in LNCS, pp.338-346, 2006.
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M. I. Miller, Computational anatomy: shape, growth, and atrophy comparison via diffeomorphisms, Special Issue: Mathematics in Brain Imaging, pp.19-33, 2004.
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S. Nicolau, A. Garcia, X. Pennec, L. Soler, and N. Ayache, An augmented reality system to guide radio-frequency tumour ablation, Computer Animation and Virtual Worlds, vol.9, issue.1, pp.1-10, 2005.
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X. Pennec, P. Fillard, and N. Ayache, A Riemannian Framework for Tensor Computing, International Journal of Computer Vision, vol.6, issue.2, pp.41-66, 2004.
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URL : https://hal.archives-ouvertes.fr/inria-00070743

J. Peyrat, M. Sermesant, X. Pennec, H. Delingette, C. Xu et al., A Computational Framework for the Statistical Analysis of Cardiac Diffusion Tensors: Application to a Small Database of Canine Hearts, IEEE Transactions on Medical Imaging, vol.26, issue.11, pp.1500-1514, 2007.
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G. Picinbono, H. Delingette, and N. Ayache, Non-linear anisotropic elasticity for real-time surgery simulation, Graphical Models, vol.65, issue.5, pp.305-321, 2003.
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A. Quarteroni and L. Formaggia, Mathematical modeling and numerical simulation of the cardiovascular system, Computational Models for the Human Body, pp.3-128, 2004.

D. Rey, G. Subsol, H. Delingette, and N. Ayache, Automatic detection and segmentation of evolving processes in 3D medical images: Application to multiple sclerosis, Medical Image Analysis, vol.6, issue.2, pp.163-179, 2002.
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URL : https://hal.archives-ouvertes.fr/inria-00615024

J. Denisrivì-ere, D. Mangin, J. Papadopoulos-orfanos, V. Martinez, J. Frouin et al., Automatic recognition of cortical sulci of the human brain using a congregation of neural networks, Med Image Anal, vol.6, issue.2, pp.77-92, 2002.

M. Sermesant, H. Delingette, and N. Ayache, An electromechanical model of the heart for image analysis and simulation, IEEE Transactions on Medical Imaging, vol.25, issue.5, pp.612-625, 2006.
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M. Sermesant, P. Moireau, O. Camara, J. Sainte-marie, R. Andriantsimiavona et al., Cardiac function estimation from MRI using a heart model and data assimilation: Advances and difficulties, Medical Image Analysis, vol.10, issue.4, pp.642-656, 2006.
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R. Sierra, M. Bajka, and G. Székely, Pathology Design for Surgical Training Simulators, International Symposium on Surgery Simulation and Soft Tissue Modeling, pp.375-384, 2003.
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K. R. Swanson, E. C. Alvord, and J. D. Murray, Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy, British Journal of Cancer, vol.29, issue.1, pp.14-18, 2002.
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D. and A. W. Thompson, On Growth and Form, Cambridge Univ. Pr, 1917.

P. M. Thompson, M. I. Miller, J. T. Ratnanather, R. A. Poldrack, and T. E. Nichols, Preface to the special issue, Special Issue: Mathematics in Brain Imaging, pp.1-1, 2004.
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P. Thompson, E. Hayashi, . Sowell, . Gogtay, . Giedd et al., Mapping cortical change in Alzheimer's disease, brain development, and schizophrenia, Special Issue: Mathematics in Brain Imaging, pp.2-18, 2004.
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K. Van-leemput, F. Maes, D. Vandermeulen, and P. Suetens, A unifying framework for partial volume segmentation of brain MR images, IEEE Transactions on Medical Imaging, vol.22, issue.1, pp.105-124, 2003.
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T. Vercauteren, A. Perchant, G. Malandain, X. Pennec, and N. Ayache, Robust mosaicing with correction of motion distortions and tissue deformations for in vivo fibered microscopy, Medical Image Analysis, vol.10, issue.5, pp.673-692, 2006.
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