Theory of linear operators in hilbert space, 1981. ,
Level set approach to mean curvature flow in arbitrary codimension, Journal of Differential Geometry, vol.43, issue.4, pp.693-737, 1996. ,
DOI : 10.4310/jdg/1214458529
Semi-supervised learning on manifolds, Journal of Machine Learning Research, 2003. ,
Laplacian Eigenmaps for Dimensionality Reduction and Data Representation, Neural Computation, vol.15, issue.6, pp.1373-1396, 2003. ,
DOI : 10.1126/science.290.5500.2319
Variational Problems and Partial Differential Equations on Implicit Surfaces, Journal of Computational Physics, vol.174, issue.2, pp.759-780, 2001. ,
DOI : 10.1006/jcph.2001.6937
Variational problems and PDE's on implicit surfaces, IEEE Workshop on Variational and Level Set Methods, pp.186-193, 2001. ,
Active Contours, 1998. ,
DOI : 10.1007/978-1-4471-1555-7
Numerical optimization: Theoretical and practical aspects, 2002. ,
DOI : 10.1007/978-3-662-05078-1
Size and Shape Spaces for Landmark Data in Two Dimensions, Statistical Science, vol.1, issue.2, pp.181-242, 1986. ,
DOI : 10.1214/ss/1177013696
Computing geodesics and minimal surfaces via graph cuts, Proceedings Ninth IEEE International Conference on Computer Vision, pp.26-33, 2003. ,
DOI : 10.1109/ICCV.2003.1238310
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.123.6433
Unsupervised Segmentation Incorporating Colour, Texture, and Motion, 10th International Computer Analysis of Images and Patterns, pp.353-360, 2003. ,
DOI : 10.1007/978-3-540-45179-2_44
URL : https://hal.archives-ouvertes.fr/inria-00071826
The Geometry of Shape Spaces, Proc. of the London Math, pp.407-432, 1990. ,
DOI : 10.1112/plms/s3-61.2.407
Geodesic active contours, Proceedings of IEEE International Conference on Computer Vision, pp.61-79, 1997. ,
DOI : 10.1109/ICCV.1995.466871
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.21.2196
Shape metrics, warping and statistics, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429), 2003. ,
DOI : 10.1109/ICIP.2003.1246758
URL : https://hal.archives-ouvertes.fr/inria-00071766
Approximations of shape metrics and application to shape warping and empirical shape statistics, Statistics and Analysis of Shapes, pp.363-395, 2006. ,
Designing spatially coherent minimizing flows for variational problems based on active contours, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1, 2005. ,
DOI : 10.1109/ICCV.2005.69
Distance-Based Shape Statistics, 2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, 2006. ,
DOI : 10.1109/ICASSP.2006.1661428
URL : https://hal.archives-ouvertes.fr/inria-00608087
Generalized Gradients: Priors on Minimization Flows, International Journal of Computer Vision, vol.80, issue.3, 2007. ,
DOI : 10.1007/s11263-006-9966-2
URL : https://hal.archives-ouvertes.fr/hal-01117529
Mathematical theory of the medial axis transform, Pacific J. Math, vol.181, pp.57-88, 1997. ,
Active Shape Models-Their Training and Application, Computer Vision and Image Understanding, vol.61, issue.1, pp.38-59, 1995. ,
DOI : 10.1006/cviu.1995.1004
URL : https://www.escholar.manchester.ac.uk/api/datastream?publicationPid=uk-ac-man-scw:1d1862&datastreamId=POST-PEER-REVIEW-PUBLISHERS.PDF
Shape statistics in kernel space for variational image segmentation, Pattern Recognition, vol.36, issue.9, 1929. ,
DOI : 10.1016/S0031-3203(03)00056-6
Diffusion-snakes: combining statistical shape knowledge and image information in a variational framework, Proceedings IEEE Workshop on Variational and Level Set Methods in Computer Vision, 2001. ,
DOI : 10.1109/VLSM.2001.938892
Nonlinear Shape Statistics in Mumford???Shah Based Segmentation, pp.93-108, 2002. ,
DOI : 10.1007/3-540-47967-8_7
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.1728
Global versus local methods in nonlinear dimensionality reduction, 2003. ,
Shape Analysis via Oriented Distance Functions, Journal of Functional Analysis, vol.123, issue.1, pp.129-201, 1994. ,
DOI : 10.1006/jfan.1994.1086
URL : http://doi.org/10.1006/jfan.1994.1086
Shape analysis via distance functions: Local theory, Boundaries, interfaces and transitions, CRM Proc. Lecture Notes, pp.91-123, 1998. ,
DOI : 10.1090/crmp/013/03
A finite element method for the simulation of a Rayleigh-Taylor instability, Lecture Notes in Mathematics, vol.216, pp.145-159, 1979. ,
DOI : 10.1016/0021-9991(79)90086-X
When does isomap recover the natural parametrization of families of articulated images?, 2002. ,
Statistical shape analysis, 1998. ,
Shape Reconstruction from 3D and 2D Data Using PDE-Based Deformable Surfaces, European Conference on Computer Vision, pp.238-251, 2004. ,
DOI : 10.1007/978-3-540-24672-5_19
Variational problems on flows of diffeomorphisms for image matching, Quarterly of Applied Mathematics, vol.56, issue.3, pp.587-600, 1998. ,
DOI : 10.1090/qam/1632326
Partial Differential Equations, Proceedings of the, 1998. ,
Well-posedness of two non-rigid multimodal image registration methods, Siam Journal of Applied Mathematics, vol.64, issue.5, pp.1550-1587, 2004. ,
Variational principles, surface evolution, PDE's, level set methods and the stereo problem, 5th IEEE EMBS International Summer School on Biomedical Imaging, 2002., pp.336-344, 1998. ,
DOI : 10.1109/SSBI.2002.1233990
Hausdorff Measure and Lebesgue Area, Proc. Nat. Acad. Sci. USA, pp.90-94, 1951. ,
DOI : 10.1073/pnas.37.2.90
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063310/pdf
L'intégrale abstraite d'une fonction abstraite d'une variable abstraite et son application à la moyenne d'un élément aléatoire de nature quelconque, Revue Scientifique, pp.483-512, 1944. ,
Diffeomorphic matching of distributions: a new approach for unlabelled point-sets and sub-manifolds matching, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004., 2004. ,
DOI : 10.1109/CVPR.2004.1315234
Space-time isosurface evolution for temporally coherent 3D reconstruction, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004., pp.350-355, 2004. ,
DOI : 10.1109/CVPR.2004.1315053
Reconciling Distance Functions and Level Sets, Journal of Visual Communication and Image Representation, vol.11, issue.2, pp.209-223, 2000. ,
DOI : 10.1006/jvci.1999.0439
URL : https://hal.archives-ouvertes.fr/inria-00073006
General pattern theory, 1993. ,
HANDS: A pattern theoretic study of biological shapes, 1990. ,
DOI : 10.1007/978-1-4612-3046-5
Computational anatomy: an emerging discipline, Quarterly of Applied Mathematics, vol.56, issue.4, pp.617-694, 1998. ,
DOI : 10.1090/qam/1668732
Locality preserving projections ,
Statistical and computational analysis of locality preserving projection, Proceedings of the 22nd international conference on Machine learning , ICML '05, pp.281-288, 2005. ,
DOI : 10.1145/1102351.1102387
Variational methods for multimodal image matching, 2002. ,
URL : https://hal.archives-ouvertes.fr/tel-00457459
Shape gradients for histogram segmentation using active contours, Proceedings Ninth IEEE International Conference on Computer Vision, pp.408-415, 2003. ,
DOI : 10.1109/ICCV.2003.1238375
Riemannian center of mass and mollifier smoothing, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.509-541, 1977. ,
DOI : 10.1002/cpa.3160300502
Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-331, 1987. ,
DOI : 10.1007/BF00133570
Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces, Bulletin of the London Mathematical Society, vol.16, issue.2, pp.81-121, 1984. ,
DOI : 10.1112/blms/16.2.81
Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence, Proc. London Math, pp.61-371, 1990. ,
DOI : 10.1112/plms/s3-61.2.371
Analysis of planar shapes using geodesic paths on shape spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.3, pp.372-383, 2004. ,
DOI : 10.1109/TPAMI.2004.1262333
Multi-camera Scene Reconstruction via Graph Cuts, European Conference on Computer Vision, pp.82-96, 2002. ,
DOI : 10.1007/3-540-47977-5_6
Data fusion and multi-cue data matching by diffusion maps, IEEE transactions on Pattern Analysis and Machine Intelligence, 2006. ,
Diffusion maps and coarse-graining: a unified framework for dimensionality reduction, graph partitioning, and data set parameterization, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.9, pp.1393-1403, 2006. ,
DOI : 10.1109/TPAMI.2006.184
Statistical Shape Influence in Geodesic Active Contours, Proceedings of the International Conference on Computer Vision and Pattern Recognition, pp.316-323, 2000. ,
Anatomical Shape Models for Medical Image Analysis, 2000. ,
Marching cubes: A high resolution 3d surface construction algorithm, Proceedings of the SIGGRAPH Computer Graphics, pp.163-169, 1987. ,
Random Sets and Integral Geometry, 1975. ,
Reconciling Landmarks and Level Sets, 18th International Conference on Pattern Recognition (ICPR'06), 2006. ,
DOI : 10.1109/ICPR.2006.979
URL : https://hal.archives-ouvertes.fr/inria-00608094
Distance Functions and Geodesics on Submanifolds of $\R^d$ and Point Clouds, SIAM Journal on Applied Mathematics, vol.65, issue.4, pp.1227-1260, 2005. ,
DOI : 10.1137/S003613990342877X
Riemannian geometries on spaces of plane curves, Journal of the European Mathematical Society, 2005. ,
DOI : 10.4171/JEMS/37
Group actions, homeomorphisms, and matching : A general framework, International Journal of Computer Vision, vol.41, issue.1/2, pp.61-84, 2001. ,
DOI : 10.1023/A:1011161132514
Boundary detection by minimizing functionals, Proceedings of the International Conference on Computer Vision and Pattern Recognition, pp.22-26, 1985. ,
Optimal approximations by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.577-684, 1989. ,
DOI : 10.1002/cpa.3160420503
URL : http://nrs.harvard.edu/urn-3:HUL.InstRepos:3637121
The level set method and dynamic implicit surfaces, 2002. ,
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
An Analysis of Variational Alignment of Curves in Images, International Conference on Scale Space and PDE Methods in Computer Vision, pp.480-491, 2005. ,
DOI : 10.1007/11408031_41
Unifying boundary and region-based information for geodesic active tracking, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149), 1999. ,
DOI : 10.1109/CVPR.1999.784648
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.21.3198
Geodesic active regions and level set methods: Contributions and applications on artificial vision, 2000. ,
Coupled Geodesic Active Regions for Image Segmentation: A Level Set Approach, pp.224-240, 2000. ,
DOI : 10.1007/3-540-45053-X_15
Non-rigid registration using distance functions, Computer Vision and Image Understanding, vol.89, issue.2-3, pp.142-165, 2003. ,
DOI : 10.1016/S1077-3142(03)00010-9
A PDE-Based Fast Local Level Set Method, Journal of Computational Physics, vol.155, issue.2, pp.410-438, 1999. ,
DOI : 10.1006/jcph.1999.6345
incertitude dans les problèmes de reconnaissance et de recalage ? applications en imagerie médicale et biologie moléculaire, Ecole Polytechnique, 1996. ,
How to deal with point correspondences and tangential velocities in the level set framework, Proceedings Ninth IEEE International Conference on Computer Vision, pp.894-899, 2003. ,
DOI : 10.1109/ICCV.2003.1238443
URL : https://hal.archives-ouvertes.fr/inria-00071726
Shape Priors for Level Set Representations, pp.78-92, 2002. ,
DOI : 10.1007/3-540-47967-8_6
Nonlinear Dimensionality Reduction by locally Linear Embedding, Science, vol.290, pp.2323-2326, 2000. ,
Real and Complex Analysis, 1966. ,
Hausdorff distances and interpolations, Mathematical Morphology and its Applications to, Image and Signal Processing, pp.107-114, 1998. ,
Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Sciences, 1999. ,
The statistical theory of shapes, 1996. ,
DOI : 10.1007/978-1-4612-4032-7
DEFORMOTION Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images, pp.32-47, 2002. ,
DOI : 10.1007/3-540-47977-5_3
A Geometric Formulation of Gradient Descent for Variational Problems with Moving Surfaces, International Conference on Scale Space and PDE Methods in Computer Vision, pp.419-430, 2005. ,
DOI : 10.1007/11408031_36
Sobolev active contours, IEEE Workshop on Variational and Level Set Methods, pp.109-120, 2005. ,
A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, Journal of Computational Physics, vol.114, issue.1, pp.146-159, 1994. ,
DOI : 10.1006/jcph.1994.1155
A Global Geometric Framework for Nonlinear Dimensionality Reduction, Science, vol.290, issue.5500, pp.2319-2323, 2000. ,
DOI : 10.1126/science.290.5500.2319
The role of image registration in brain mapping, Image and Vision Computing, vol.19, issue.1-2, pp.3-24, 2001. ,
DOI : 10.1016/S0262-8856(00)00055-X
Diffeomorphisms groups and pattern matching in image analysis, International Journal of Computer Vision, vol.28, issue.3, pp.213-234, 1998. ,
DOI : 10.1023/A:1008001603737
Diffeomorphic Matching Problems in One Dimension: Designing and Minimizing Matching Functionals, pp.573-587, 2000. ,
DOI : 10.1007/3-540-45054-8_37
Metamorphoses Through Lie Group Action, Foundations of Computational Mathematics, vol.5, issue.2, 2005. ,
DOI : 10.1007/s10208-004-0128-z
Metrics in the space of curves, 2005. ,
Deformotion: Deforming motion, shape average and the joint registration and approximation of structures in images, International Journal of Computer Vision, vol.53, issue.2, pp.153-167, 2003. ,
DOI : 10.1023/A:1023048024042
Computable Elastic Distances Between Shapes, SIAM Journal on Applied Mathematics, vol.58, issue.2, pp.565-586, 1998. ,
DOI : 10.1137/S0036139995287685
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.157.6434
Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method, Computer Vision and Image Understanding, vol.80, issue.3, pp.295-314, 2000. ,
DOI : 10.1006/cviu.2000.0875