[1] Brain Warping. San Diego, CA, USA: Academic Press, 1999. [2] A. Abkar and H. Hedenmalm, "A Riesz Representation Formula for Super-Biharmonic Functions," Annales Academi\e Scientiarum Fennic\e Mathematica, vol. 26, pp. 305 -- 324, 2001. [3] J. Ashburner, J. L. R. Andersson, and K. J. Friston, "Image Registration Using A Symmetric Prior~-- in Three Dimensions," Human Brain Mapping, vol. 9, pp. 212 -- 225, 2000. [4] J. Ashburner and K. J. Friston, "Why Voxel-Based Morphometry Should Be Used," NeuroImage, vol. 14, pp. 1238 -- 1243, 2001. [5] M. F. Beg, M. I. Miller, T. A., and L. Younes, "Computational Anatomy: Computing Metrics on Anatomical Shapes," presented at Proceedings of the First IEEE International Symposiumon Biomedical Imaging (ISBI'02), 2002. [6] T. Boggio, "Sulle funzioni di green d'ordine m.," Circolo Matematico di Palermo, vol. 20, pp. 97--135, 1905. [7] F. L. Bookstein, "Principal Warps: Thin-Plate Spines and the Decomposition of Deformations," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 11, pp. 567 -- 585, 1989. [8] F. L. Bookstein, "Linear Methods for Nonlinear Maps: Procustes Fits, Thin-Plate Splines and the Biometric Analysis of Shape Variability," in Brain Warping, A. W. Toga, Ed. San Diego, CA, USA: Academic Press, 1999, pp. 157 -- 181. [9] F. L. Bookstein, "`Voxel-Based Morphometry' Should Not Be Used with Imperfectly Registered Images," NeuroImage, vol. 14, pp. 1454 -- 1462, 2001. [10] F. L. Boosktein, "Creases as Local Features of Deformation Grids," Medical Image Analysis, vol. 4, pp. 93 -- 110, 2000. [11] M. Bro-Nielsen and C. Gramkow, "Fast fluid registration of medical images," presented at Proceedings of Visualization in Biomedical Computing (VBC), 1996. [12] P. Cachier and D. Rey, "Symmetrization of the Non-Rigid Registration Problem Using Inversion-Invariant Energies: Application to Multiple Sclerosis," presented at Third International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI'00), 2000. [13] V. Camion and L. Younes, "Geodesic Interpolating Splines," presented at Proceedings of Energy Minimisation in Computer Vision and Pattern Recognition (EMMCVPR), 2001. [14] B. Dawant, M., "Non-Rigid Registrationn of Medical Images: Purpose and Methods, A Short Survey," presented at Proceedings of the First IEEE International Symposiumon Biomedical Imaging (ISBI'02), 2002. [15] P. Dupuis, U. Grenander, and M. I. Miller, "Variational problems on flows of diffeomorphisms for image matching," Quarterly of Applied Mathematics, vol. 56, pp. 587 -- 600, 1998. [16] J. Gee, M. Reivich, and R. Bajcsy, "Elastically deforming 3D atlas to match anatomical brain images," Journal of Computer Assisted Tomography, vol. 17, pp. 225-236, 1993. [17] U. Grenander and M. I. Miller, "Representations of Knowledge in Complex Systems," Journal of the Royal Statistical Society B, vol. 56, pp. 549 -- 603, 1994. [18] U. Grenander and M. I. Miller, "Computation Anatomy: An Emerging Discipline," in Quarterly of Applied Mathematics, vol. 56, 1998, pp. 617 -- 694. [19] H.-C. Grunau and G. Sweers, "Maximum principles and positive principal eigenfunctions for polyharmonic equations," presented at Reaction Diffusion Systems, 1998. [20] A. Guimond, J. Meunier, and J.-P. Thirion, "Average Brain Models: A Convergence Study," INRIA, Sophia Antipolis 1999. [21] R. S. H. Chui, L. Win, J. Duncan and A. Rangarajan, "A Unified Framework for Brain Anatomical Feature Registration," presented at Proceedings of Information Processing in Medical Imaging (IPMI'01), 2001. [22] S. Haker, A. Tannenbaum, and R. Kikinis, "Mass Preserving Mappings and Image Registration," presented at Fourth International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI'01), 2001. [23] S. Henn and K. Witsch, "Iterative Multigrid Regularisation Techniques for Image Matching," SIAM Journal of Scientific Computing, vol. 23, pp. 1077 -- 1093, 2001. [24] G. Hermosillo, C. Chefd'Hotel, and O. Faugeras, "A Variational Approach to Multi-Modal Image Matching," INRIA, Sophia Antipolis 2001. [25] A. N. Hirani, J. E. Marsden, and J. Arvo, "Averaged Template Matching Equations," presented at Proceedings of Energy Minimisation in Computer Vision and Pattern Recognition (EMMCVPR), 2001. [26] D. R. Jenkins, "Thin Plate Spline Interpolation on an Annulus," presented at Proceedings of the 1999 International conference on Computational Techniques and Applications, 2000. [27] S. C. Joshi and M. L. Miller, "Landmark Matching via Large Deformation Diffeomorphisms," IEEE Transaction on Image Processing, vol. 9, pp. 1357 -- 1370, 2000. [28] L. LeBriquer and J. Gee, "Design of a statistical model of brain shape," presented at Proceedings of IPMI'97, 1997. [29] S. Lee, G. Wolberg, and S. Y. Shin, "Scattered Data Interpolation with Multilevel B-Splines," IEEE Transactions on Visualisation and Computer Graphics, vol. 3, pp. 228 -- 244, 1997. [30] B. Likar and F. Pernus, "A Hierarchical Approach to Elastic Registration Based on Mutual Information," Image and Vision Computing, vol. 19, pp. 33 -- 44, 2001. [31] J. Lotjonen and T. Makela, "Elastic Matching Using a Deformation Sphere," presented at Fourth International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI'01), 2001. [32] F. Maes, A. Collignon, D. Vandermeulen, G. Marchal, and P. Suetens, "Multimodality Image Registration by Maximization of Mutual Information," IEEE Transactions on Medical Imaging, vol. 16, pp. 187 -- 198, 1997. [33] D. Meier and E. Fisher, "Parameter Space Warping: Shape-Based Correspondence Between Morphologically Different Objects," IEEE Transactions on Medical Imaging, vol. 21, pp. 31 -- 47, 2002. [34] M. I. Miller, S. C. Joshi, and G. E. Christensen, "Large Deformation Fluid Diffeomorphisms for Landmark and Image Matching," in Brain Warping, A. W. Toga, Ed. San Diego, CA, USA: Academic Press, 1999, pp. 115 -- 131. [35] M. I. Miller and L. Younes, "Group Actions, Homeomorphisms and Matching: A General Framework," International Journal of Computer Vision, vol. 41, pp. 61 -- 84, 2001. [36] M. I. Miller, A. Trouve, and L. Younes, "On the Metrics and Euler-Lagrange Equations of Computational Anatomy," Annual Review of Biomedical Engineering, vol. 4, pp. 375 -- 405, 2002. [37] W. Peckar, C. Schnörr, K. Rohr, and H. S. Stiehl, "Non-Rigid Image Registration using a Parameter-Free Elastic Model," presented at Proceedings of the Ninth British Machine Vision Conference (BMVC'98), 1998. [38] J. P. W. Pluim, J. B. A. Maintz, and M. A. Viergever, "Image Registration by Maximisation of Combined Mutual Information and Gradient Information," IEEE Transaction on Medical Imaging, vol. 19, pp. 809 -- 814, 2000. [39] I. Praktikis, C. Barillot, and P. Hellier, "Robust Multi-Scale Non-Rigid Registration of 3D Ultrasound Images," presented at Scale-Space 2001, 2001. [40] P. Rogelj and S. Kovacic, "Similarity Measures for Non-Rigid Registration," presented at Medical Imaging 2001: Image Processing, 2001. [41] T. Rohlfing and J. Maurer, Calvin R., "Intensity-Based Non-Rigid Registration Using Adaptive Multilevel Free-Form Deformation with an Incompressibility Constraint," presented at Fourth International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI'01), 2001. [42] G. Sweers, "When is the First Eigenfunction for the Clamped Plate Equation of Fixed Sign?," Lecetronic Journal of Differential Equations, vol. 6, pp. 285 -- 296, 2001. [43] P. M. Thompson, M. S. Mega, C. Vidal, J. L. Rapoport, and A. W. Toga, "Detecting Disease-Specific Patterns of Brain Structure using Cortical Pattern Matching and a Population-Based Probabilistic Brain Atlas," presented at Proceedings of the 17th International Conference on Information Processing in Medical Imaging (IPMI2001), 2001. [44] A. Trouve, "An Approach of Pattern Recognition through Infinite Dimensional Group Action," Ecole Normale Superieure, Paris 1995. [45] A. Trouve, "Diffeomorphisms Groups and Pattern Matching in Image Analysis," International Journal of Computer Vision, vol. 28, pp. 213-221, 1998. [46] A. Trouve and L. Younes, "Diffeomorphic Matching Problems in One Dimension: Designing and Minimizing Matching Functionals," presented at Proceedings of European Conference on Computer Vision, 2000. [47] A. Trouve and L. Younes, "Local Analysis on a Shape Manifold," 2002. [48] G. Wahba, "Spline Interpolation and Smoothing on the Sphere," SIAM Jounral of Scientific Statistical Computing, vol. 2, pp. 5 -- 16, 1981. [49] Y. Wang and L. H. Staib, "Elastic model based non-rigid registration incorporating statistical shape information," presented at Medical Image Computing and Computer-Assisted Intervention (MICCAI'98), 1998. [50] Y. Wang and L. H. Staib, "Integrated approaches to non-rigid registration in medical images," presented at Workshop on Applications of Computer Vision, 1998. [51] J. West, J. M. Fitzpatrick, M. Y. Wang, B. M. Dawant, J. Maurer, C. R., R. M. Kessler, R. J. Maciunas, C. Barillot, D. Lemoine, A. Collignon, F. Maes, P. Suetens, D. Vandermeulen, P. A. van den Elsen, S. Napel, T. S. Sumanaweera, B. Harkness, P. F. Hemler, D. L. G. Hill, D. J. Hawkes, C. Studholme, J. B. A. Maintz, M. A. Viergever, G. Malandain, X. Pennec, M. E. Noz, J. Maguire, G. Q., M. Pollack, C. A. Pelizzari, R. A. Robb, D. Hanson, and R. P. Woods, "Comparison and evaluation of retrospective intermodality brain image registration techniques," Journal of Computer Assisted Tomography, vol. 21, pp. 554--566, 1997. [52] T. J. Willmore, "A survey on Willmore immersions," presented at Geometry and Topology of Submanifolds, IV 1992. [53] M. Xu and W. L. Nowinski, "Talairach-Tournoux Brain Atlas Registration Using a Metalforming Principle-Based Finite Element Method," Medical Image Analysis, vol. 5, pp. 271 -- 279, 2001. [54] L. Younes, "Computable Elastic Distances Between Shapes," SIAM Journal of Applied Mathematics, vol. 58, pp. 565 -- 586, 1998. [55] L. Younes, "Deformations, Warping and Object Comparison: A Tutorial," 2000.