S. Angenent, S. Haker, R. Kikinis, and A. Tannenbaum, Nondistorting flattening maps and the 3D visualization of colon CT images, IEEE Trans. Med. Imag, vol.19, pp.665-671, 2000.

J. Ashburner, C. Hutton, R. Frackowiak, I. Johnsrude, C. Price et al., Identifying global anatomical differences: Deformation-based morphometry, Human Brain Mapping, vol.2, issue.5-6, pp.348-357, 1998.
DOI : 10.1002/(SICI)1097-0193(1998)6:5/6<348::AID-HBM4>3.0.CO;2-P
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.2219

B. Chow, P. Lu, and L. Ni, Hamilton's Ricci Flow, 2006.
DOI : 10.1090/gsm/077

M. K. Chung, K. M. Dalton, and R. J. Davidson, Tensor-Based Cortical Surface Morphometry via Weighted Spherical Harmonic Representation, IEEE Transactions on Medical Imaging, vol.27, issue.8, pp.1143-1151, 2008.
DOI : 10.1109/TMI.2008.918338

R. Cuingnet, E. Gerardin, J. Tessieras, G. Auzias, S. Lehricy et al., Automatic classification of patients with Alzheimer's disease from structural MRI: A comparison of ten methods using the ADNI database, NeuroImage, vol.56, issue.2, pp.56766-781, 2011.
DOI : 10.1016/j.neuroimage.2010.06.013

A. M. Dale, B. Fischl, and M. I. Sereno, Cortical Surface-Based Analysis, NeuroImage, vol.9, issue.2, pp.179-194, 1999.
DOI : 10.1006/nimg.1998.0395

R. H. Davies, C. J. Twining, P. D. Allen, T. F. Cootes, and C. J. Taylor, Shape Discrimination in the Hippocampus Using an MDL Model, Proc. Infor. Proc. Med. Imag. (IPMI), 2003.
DOI : 10.1007/978-3-540-45087-0_4

R. S. Desikan, F. Segonne, B. Fischl, B. T. Quinn, B. C. Dickerson et al., An automated labeling system for subdividing the human cerebral cortex on MRI scans into gyral based regions of interest, NeuroImage, vol.31, issue.3, pp.968-80, 2006.
DOI : 10.1016/j.neuroimage.2006.01.021

B. Fischl, M. I. Sereno, and A. M. Dale, Cortical Surface-Based Analysis, NeuroImage, vol.9, issue.2, pp.195-207, 1999.
DOI : 10.1006/nimg.1998.0396

F. P. Gardiner and N. Lakic, Quasiconformal Teichmuller theory, 2000.
DOI : 10.1090/surv/076

G. Gerig, M. Styner, D. Jones, D. Weinberger, and J. Lieberman, Shape analysis of brain ventricles using SPHARM, Proceedings IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA 2001), pp.171-178, 2001.
DOI : 10.1109/MMBIA.2001.991731

K. Gorczowski, M. Styner, J. Jeong, J. S. Marron, J. Piven et al., Statistical Shape Analysis of Multi-Object Complexes, 2007 IEEE Conference on Computer Vision and Pattern Recognition, pp.1-8, 2007.
DOI : 10.1109/CVPR.2007.383336

X. Gu, Y. Wang, T. F. Chan, P. M. Thompson, and S. Yau, Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping, IEEE Transactions on Medical Imaging, vol.23, issue.8, pp.949-958, 2004.
DOI : 10.1109/TMI.2004.831226
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.129.7761

X. Guo, Z. Wang, K. Li, Z. Li, Z. Qi et al., Voxel-based assessment of gray and white matter volumes in Alzheimer's disease, Neuroscience Letters, vol.468, issue.2, pp.146-50, 2010.
DOI : 10.1016/j.neulet.2009.10.086

R. S. Hamilton, The Ricci flow on surfaces, Mathematics and general relativity, vol.71, pp.237-262, 1988.
DOI : 10.1090/conm/071/954419

P. Henrici, Applied and Computational Complex Analysis, 1988.

X. Hua, S. Lee, D. P. Hibar, I. Yanovsky, A. D. Leow et al., Mapping Alzheimer's disease progression in 1309 MRI scans: Power estimates for different inter-scan intervals, NeuroImage, vol.51, issue.1, pp.63-75, 2010.
DOI : 10.1016/j.neuroimage.2010.01.104

M. K. Hurdal and K. Stephenson, Cortical cartography using the discrete conformal approach of circle packings, NeuroImage, vol.23, pp.119-128, 2004.
DOI : 10.1016/j.neuroimage.2004.07.018

C. R. Jack, M. A. Bernstein, N. C. Fox, P. M. Thompson, G. Alexander et al., The Alzheimer's disease neuroimaging initiative (ADNI): MRI methods, Journal of Magnetic Resonance Imaging, vol.6, issue.4, pp.685-691, 2007.
DOI : 10.1002/jmri.21049

M. Jin, J. Kim, F. Luo, and X. Gu, Discrete Surface Ricci Flow, IEEE Transactions on Visualization and Computer Graphics, vol.14, issue.5, pp.1030-1043, 2008.
DOI : 10.1109/TVCG.2008.57

X. Liu, Y. Shi, I. Dinov, and W. Mio, A Computational Model of Multidimensional Shape, International Journal of Computer Vision, vol.17, issue.5/6, pp.69-83, 2010.
DOI : 10.1007/s11263-010-0323-0

L. M. Lui, W. Zeng, S. Yau, and X. Gu, Shape Analysis of Planar Objects with Arbitrary Topologies Using Conformal Geometry, 2010.
DOI : 10.1007/978-3-642-15555-0_49

S. G. Mueller, M. W. Weiner, L. J. Thal, R. C. Petersen, C. Jack et al., The Alzheimer's Disease Neuroimaging Initiative, Neuroimaging Clinics of North America, vol.15, issue.4, pp.869-877, 2005.
DOI : 10.1016/j.nic.2005.09.008

S. Pizer, D. Fritsch, P. Yushkevich, V. Johnson, and E. Chaney, Segmentation, registration, and measurement of shape variation via image object shape, IEEE Transactions on Medical Imaging, vol.18, issue.10, pp.851-865, 1999.
DOI : 10.1109/42.811263

A. Qiu and M. I. Miller, Multi-structure network shape analysis via normal surface momentum maps, NeuroImage, vol.42, issue.4, pp.1430-1438, 2008.
DOI : 10.1016/j.neuroimage.2008.04.257

E. L. Schwartz, A. Shaw, and E. Wolfson, A numerical solution to the generalized mapmaker's problem: flattening nonconvex polyhedral surfaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.11, issue.9, pp.1005-1008, 1989.
DOI : 10.1109/34.35506

E. Sharon and D. Mumford, 2D-Shape Analysis Using Conformal Mapping, International Journal of Computer Vision, vol.70, issue.1, pp.55-75, 2006.
DOI : 10.1007/s11263-006-6121-z

L. Shen, A. J. Saykin, M. K. Chung, and H. Huang, Morphometric analysis of hippocampal shape in mild cognitive impairment: An imaging genetics study, IEEE 7th International Conference Bioinformatics and Bioengineering, 2007.

P. M. Thompson, K. M. Hayashi, G. D. Zubicaray, A. L. Janke, S. E. Rose et al., Dynamics of gray matter loss in Alzheimer's disease, J. Neuroscience, vol.23, pp.994-1005, 2003.

P. M. Thompson and A. W. Toga, A surface-based technique for warping three-dimensional images of the brain, IEEE Transactions on Medical Imaging, vol.15, issue.4, pp.1-16, 1996.
DOI : 10.1109/42.511745

B. Timsari and R. M. Leahy, <title>Optimization method for creating semi-isometric flat maps of the cerebral cortex</title>, Medical Imaging 2000: Image Processing, pp.698-708, 2000.
DOI : 10.1117/12.387731

D. Tosun, A. Reiss, A. D. Lee, R. A. Dutton, K. M. Hayashi et al., Use of 3-D Cortical Morphometry for Mapping Increased Cortical Gyrification and Complexity in Williams Syndrome, 3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006., pp.1172-1175, 2006.
DOI : 10.1109/ISBI.2006.1625132

A. Trouve and L. Younes, Metamorphoses Through Lie Group Action, Foundations of Computational Mathematics, vol.5, issue.2, pp.173-198, 2005.
DOI : 10.1007/s10208-004-0128-z

Y. Wang, X. Gu, T. F. Chan, and P. M. Thompson, Shape Analysis with Conformal Invariants for Multiply Connected Domains and its Application to Analyzing Brain Morphology, IEEE Conf. Comp. Vis. Patt. Recog. CVPR '09, pp.202-209, 2009.
DOI : 10.1016/S1053-8119(09)70848-1

Y. Wang, X. Gu, T. F. Chan, P. M. Thompson, and S. Yau, Brain Surface Conformal Parameterization with Algebraic Functions, Med. Image Comp. Comput.- Assist. Intervention, Proceedings, Part II, pp.946-954, 2006.
DOI : 10.1007/11866763_116
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.221.2378

Y. Wang, X. Gu, T. F. Chan, P. M. Thompson, and S. Yau, Conformal Slit Mapping and Its Applications to Brain Surface Parameterization, Med. Image Comp. Comput.-Assist. Intervention, Proceedings, Part I, pp.585-593, 2008.
DOI : 10.1007/978-3-540-85988-8_70
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.2933

Y. Wang, L. Lui, X. Gu, K. M. Hayashi, T. F. Chan et al., Brain Surface Conformal Parameterization Using Riemann Surface Structure, IEEE Transactions on Medical Imaging, vol.26, issue.6, pp.853-865, 2007.
DOI : 10.1109/TMI.2007.895464