A. M. Schlickewei-u and C. D. , The wave kernel signature: A quantum mechanical approach to shape analysis, Proc. 4DMOD, ICCV Workshops, pp.1626-1633, 2011.

. [. Bronstein-m, . J. Guibas-l, and . Ovsjanikov-m, Shape google, ACM Transactions on Graphics, vol.30, issue.1, pp.1-120, 2011.
DOI : 10.1145/1899404.1899405

[. D. Burago and I. S. Burago-y, A course in metric geometry, grad, Studies in Math, vol.33, 2001.
DOI : 10.1090/gsm/033

. [. Bronstein-m and . Kimmel-r, Numerical Geometry of Non-Rigid Shapes, 2008.
DOI : 10.1007/978-0-387-73301-2

. P. Bcse-*-07-]-bendich, E. H. Cohen-steiner-d, H. J. , and M. D. , Inferring local homology from sampled stratified spaces, Foundations of Computer Science, 2007. FOCS'07. 48th Annual IEEE Symposium on, pp.536-546, 2007.

. [. Kokkinos-i, Scale-invariant heat kernel signatures for non-rigid shape recognition, Computer Vision and Pattern Recognition (CVPR), 2010 IEEE Conference on, pp.1704-1711, 2010.

]. Bub12 and . P. Bubenik, Statistical topology using persistence landscapes. arXiv preprint arXiv:1207, 2012.

]. Car09 and . G. Carlsson, Topology and data, Bulletin of the American Mathematical Society, vol.46, issue.2, pp.255-308, 2009.

C. F. Cohen-steiner-d, . Glisse-m, and O. J. Guibas-l, Proximity of persistence modules and their diagrams, Proc. 25th Annu. Symposium on Computational Geometry, pp.237-246, 2009.

C. F. Cohen-steiner-d, . J. Guibas-l, . Mémoli-f, and . Y. Oudot-s, Gromovhausdorff stable signatures for shapes using persistence, CGF (Proc. SGP), pp.1393-1403, 2009.

]. Cdfjm14, . A. Cerri, F. B. Di, . Jablonski-g, and . Medri-f, Comparing shapes through multi-scale approximations of the matching distance, Computer Vision and Image Understanding (CVIU), pp.43-56, 2014.

]. Cdo13, . F. Chazal, S. V. De, and . Oudot-s, Persistence stability for geometric complexes, Geometriae Dedicata, pp.1-22, 2013.

O. [. Guibas-l and . Skraba-p, Persistence-based clustering in riemannian manifolds, Journal of the ACM (JACM), vol.60, issue.6, p.41, 2013.

. [. Leiserson-c, . L. Rivest-r, and . Stein-c, Introduction to Algorithms, 2001.

C. [. Ovsjanikov-m, Supervised descriptor learning for nonrigid shape matching, Proc. 6th Workshop on Non-Rigid Shape Analysis and Deformable Image Alignment (NORDIA), 2014.

]. Cut09 and . M. Cuturi, Positive Definite Kernels in Machine Learning ArXiv e-prints, 2009.

C. [. Zomorodian-a and . J. Guibas-l, Persistence barcodes for shapes, International Journal of Shape Modeling, vol.11, issue.2, pp.149-187, 2005.

L. K. Dll-*-10-]-dey-t, . Luo-c, . Ranjan-p, . Safa-i, and . Wang-y, Persistent heat signature for pose-oblivious matching of incomplete models, Computer Graphics Forum, 2010.

S. V. De, M. D. Vejdemo-johansson-m.-]-edelsbrunner-h, and H. J. , Dualities in persistent (co)homology Computational topology: an introduction, Inverse Problems, vol.27, 2010.

L. [. Zomorodian-a, Topological persistence and simplification, Discrete and Computational Geometry, vol.28, pp.511-533, 2002.

F. A. Huber-d, . Kolluri-r, and M. J. Bülow-t, Recognizing objects in range data using regional point descriptors, Proc. ECCV, pp.224-237, 2004.

. [. Kazhdan-m, Shape-based retrieval and analysis of 3d models, ACM SIGGRAPH 2004 Course Notes, p.16, 2004.

. [. Landi-c, Size theory as a topological tool for computer vision, Pattern Recognition and Image Analysis, vol.9, issue.4, pp.596-603, 1999.

G. R. Shamir-a and . D. Cohen-or, Pose-oblivious shape signature. Visualization and Computer Graphics, IEEE Transactions on, vol.13, issue.2, pp.261-271, 2007.

H. M. Shinagawa-y and . Kohmura-t, Topology matching for fully automatic similarity estimation of 3d shapes, Proc. SIGGRAPH, pp.203-212, 2001.

. A. Ion, . Peyré-g, . Haxhimusa-y, K. W. Peltier-s, and . D. Cohen-l, Shape matching using the geodesic eccentricity transform-a study, Proc
DOI : 10.1109/cvprw.2008.4563032

URL : https://hal.archives-ouvertes.fr/hal-00365897

J. A. Hebert-m, Using spin images for efficient object recognition in cluttered 3d scenes. Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.21, issue.5, pp.433-449, 1999.

. [. Hertzmann-a and . Singh-k, Learning 3d mesh segmentation and labeling, ACM Transactions on Graphics (TOG), vol.29, issue.4, p.102, 2010.

M. [. Pottmann-h, Geometric modeling in shape space, In ACM Transactions on Graphics (TOG), vol.26, p.64, 2007.

K. E. Simari-p and N. D. Singh-k, Robust statistical estimation of curvature on discretized surfaces, Proc. SGP, pp.13-22, 2007.

L. C. Ovsjanikov-m and C. F. , Persistence-based structural recognition, Proc. CVPR, pp.2003-2010, 2014.

M. M. Ferstl-m and . Grosso-r, 3D Shape Matching based on Geodesic Distance Distributions, In Vision, Modeling and Visualization, 2012.

M. S. , H. , and Y. A. Soatto-s, Integral invariant signatures, Proc. ECCV, pp.87-99, 2004.

]. Mor08 and . D. Morozov, Homological Illusions of Persistence and Stability, 2008.

. M. Obcs-*-12-]-ovsjanikov, S. M. Ben-chen, . Butscher-a, and . Guibas-l, Functional maps: a flexible representation of maps between shapes, ACM Transactions on Graphics (TOG), vol.31, issue.4, p.30, 2012.

P. H. , W. J. Huang-q.-x, and Y. , Integral invariants for robust geometry processing, Computer Aided Geometric Design, vol.26, issue.1, pp.37-60, 2009.

C. [. Ovsjanikov-m and . Guibas-l, Persistence-based segmentation of deformable shapes, Proc. CVPR Workshops, pp.45-52, 2010.

. Sog09, . J. Sun, . Ovsjanikov-m, and . Guibas-l, A concise and provably informative multi-scale signature based on heat diffusion, CGF (Proc. SGP), pp.1383-1392, 2009.

S. R. Popovi´cpopovi´, Deformation transfer for triangle meshes, In ACM Transactions on Graphics (TOG), vol.23, pp.399-405, 2004.

. [. Shamir-a and . D. Cohen-or, Consistent mesh partitioning and skeletonisation using the shape diameter function, The Visual Computer, vol.24, issue.4, pp.249-259, 2008.

. V. Ssk-*-05-]-surazhsky, K. D. Surazhsky-t, . J. Gortler-s, and . Hoppe-h, Fast exact and approximate geodesics on meshes, ACM Transactions on Graphics, vol.24, issue.3, pp.553-560, 2005.
DOI : 10.1145/1073204.1073228

V. A. Uras-c and . Frosini-p, On the use of size functions for shape analysis, Biological cybernetics, vol.70, issue.2, pp.99-107, 1993.

Y. , L. Hu-s.-m, and . Pottmann-h, Robust principal curvatures on multiple scales, Symposium on Geometry Processing, pp.223-226, 2006.

. A. Zomorodian and . Carlsson-g, Computing Persistent Homology, Discrete & Computational Geometry, vol.33, issue.2, pp.249-274, 2005.
DOI : 10.1007/s00454-004-1146-y

URL : http://graphics.stanford.edu/~afra/papers/socg04/persistence.ps.gz