M. Kazhdan, T. Funkhouser, and S. Rusinkiewicz, Rotation invariant spherical harmonic representation of 3D shape descriptors, Proc. Symp. Geometry Processing, 2003.

J. P. Vandeborre, V. Couillet, and M. Daoudi, A practical approach for 3D model indexing by combining local and global invariants, Proceedings. First International Symposium on 3D Data Processing Visualization and Transmission, pp.644-647, 2002.
DOI : 10.1109/TDPVT.2002.1024132

URL : https://hal.archives-ouvertes.fr/hal-00725647

G. Antini, S. Berretti, A. D. Bimbo, and P. Pala, Retrieval of 3D Objects Using Curvature Correlograms, 2005 IEEE International Conference on Multimedia and Expo, 2005.
DOI : 10.1109/ICME.2005.1521528

J. Assfalg, A. D. Bimbo, and P. Pala, Spin images for retrieval of 3D objects by local and global similarity, Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004., pp.906-909, 2004.
DOI : 10.1109/ICPR.2004.1334675

H. Sundar, D. Silver, N. Gagvani, and S. Dickinson, Skeleton based shape matching and retrieval, 2003 Shape Modeling International., 2003.
DOI : 10.1109/SMI.2003.1199609

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.8114

T. Funkhouser, P. Min, M. Kazhdan, A. Haderman, D. Dobkin et al., A search engine for 3D models, ACM Transactions on Graphics, vol.22, issue.1, pp.83-105, 2003.
DOI : 10.1145/588272.588279

T. F. Ansary, J. P. Vandeborre, and M. Daoudi, A Bayesian approach for 3D models retrieval based on characteristic views, Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004., 2004.
DOI : 10.1109/ICPR.2004.1334673

URL : https://hal.archives-ouvertes.fr/hal-00725641

T. F. Ansary, J. P. Vandeborre, S. Mahmoudi, and M. Daoudi, A Bayesian framework for 3D models retrieval based on characteristic views, Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004., 2004.
DOI : 10.1109/TDPVT.2004.1335187

URL : https://hal.archives-ouvertes.fr/hal-00725634

C. M. Cyr and B. Kimia, 3D object recognition using shape similaritybased aspect graph, Proc. IEEE Int. Conf. Computer Vision, pp.254-261, 2001.
DOI : 10.1109/iccv.2001.937526

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.1969

R. D. Schiffenbauer, A Survey of Aspect Graphs CIS, 2001.

D. Macrini, A. Shokoufandeh, S. Dickenson, K. Siddiqi, and S. Zucker, View-based 3-D object recognition using shock graphs, Object recognition supported by user interaction for service robots, pp.24-28, 2002.
DOI : 10.1109/ICPR.2002.1047786

D. Y. Chen, X. P. Tian, Y. T. Shen, and M. Ouhyoung, On Visual Similarity Based 3D Model Retrieval, Eurographics, pp.223-232, 2003.
DOI : 10.1109/TPAMI.2002.1023806

J. W. Tangelder and R. C. Veltkamp, A survey of content based 3D shape retrieval methods, Proceedings Shape Modeling Applications, 2004., pp.145-156, 2004.
DOI : 10.1109/SMI.2004.1314502

A. Khotanzad and Y. H. Hong, Invariant image recognition by Zernike moments, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.12, issue.5, pp.489-497, 1990.
DOI : 10.1109/34.55109

W. Y. Kim and Y. S. Kim, A region-based shape descriptor using Zernike moments, Signal Process.: Image Commun, pp.95-100, 2000.
DOI : 10.1016/S0923-5965(00)00019-9

R. O. Duda and P. E. Hart, Pattern Classification and Scene Analysis, 1973.

D. Pelleg and A. Moore, X-means: Extending K-means with efficient estimation of the number of clusters, Proc. Int. Conf. Machine Learning, pp.727-734, 2000.

H. Akaike, Information theory and extention of the maximum likelihood principle, IEEE Int. Symp. Information Theory, pp.267-281, 1973.

G. Schwarz, Estimating the Dimension of a Model, The Annals of Statistics, vol.6, issue.2, pp.461-464, 1978.
DOI : 10.1214/aos/1176344136

J. O. Berger and L. Pericchi, The Intrinsic Bayes Factor for Model Selection and Prediction, Journal of the American Statistical Association, vol.36, issue.433, pp.109-122, 1994.
DOI : 10.1093/biomet/67.2.493

K. P. Burnham and D. Anderson, Model Selection and Multi-model Inference, 2002.

H. Bozdogan, Model selection and Akaike's information criteria (AIC): The general theory and its analytical extentions, Psychometrika, vol.52, pp.354-370, 1987.

E. Lebarbier and T. Mary-huard, Le Critère BIC: Fondements théoriques et interprétation INRIA, 2004.

R. Osada, T. Funkhouser, B. Chazells, and D. Dobkin, Matching 3D models with shape distributions, Proceedings International Conference on Shape Modeling and Applications, 2001.
DOI : 10.1109/SMA.2001.923386

B. Horn, Extended Gaussian images, Proc. IEEE 72, pp.1671-1686, 1984.
DOI : 10.1109/PROC.1984.13073

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.18.3605

S. Kang and K. Ikeuchi, Determining 3D object pose using the complex extended gaussian image, Proc. IEEE Int. Conf. Computer Vision and Pattern Recognition, pp.580-585, 1991.

E. Ivanko and D. Pervalov, Q-Gram Statistics Descriptor in 3D Shape Classification, Proc. Int. Conf. Advances in Pattern Recognition, pp.360-367, 2005.
DOI : 10.1007/11552499_41

M. Ankerst, G. Kastenmuller, H. P. Kriegel, and T. Seidl, Nearest neighbor classification in 3D protein databases, Int. Soc. Behav. Med, 1999.

D. Saupe and D. V. Vranic-german-assoc, 3D Model Retrieval with Spherical Harmonics and Moments, Pattern Recognit. (DAGM), pp.392-397, 2001.
DOI : 10.1007/3-540-45404-7_52

D. V. Vranic, An improvement of rotation invariant 3D shape descriptor based on functions on concentric spheres, Proc. IEEE Int. Conf. Image Processing, pp.757-760, 2003.

G. Leifman, S. Katz, A. Tal, and R. Mei, Signatures of 3d models for retrieval, 4th Israel-Korea Bi-Nat. Conf. Geometric Modeling and Computer Graphics, pp.159-163, 2003.

P. Shilane, P. Min, M. Kazhdan, and T. Funkhouser, The princeton shape benchmark, Proceedings Shape Modeling Applications, 2004., 2004.
DOI : 10.1109/SMI.2004.1314504

M. Fox-miire?3d-search-engine-attene, S. Biasotti, and M. Spagnuolo, Available: http://www-rech. enic.fr/3dretrieval References 1 Shape understanding by contour-driven retiling, Vis. Comput, vol.19, pp.127-138, 2003.

M. Attene, S. Katz, M. Mortara, G. Patané, M. Spagnuolo et al., Mesh Segmentation - A Comparative Study, IEEE International Conference on Shape Modeling and Applications 2006 (SMI'06), pp.14-25, 2006.
DOI : 10.1109/SMI.2006.24

S. Berreti, D. Bimbo, A. Pala, and P. , Partitioning of 3D meshes using Reeb graphs, IEEE ICPR, pp.19-22, 2006.

S. Biasotti, S. Marini, M. Mortara, and G. Patanè, An overview on properties and efficacy of topological skeletons in shape modelling, Shape Modeling International, pp.245-254, 2003.

I. Biederman, Recognition-by-components: A theory of human image understanding., Psychological Review, vol.94, issue.2, pp.115-147, 1987.
DOI : 10.1037/0033-295X.94.2.115

H. Blum and R. N. Nagel, Shape description using weighted symmetric axis features, Pattern Recognition, vol.10, issue.3, pp.167-180, 1978.
DOI : 10.1016/0031-3203(78)90025-0

P. T. Bremer, H. Edelsbrunner, B. Hamann, and V. Pascucci, A topological hierarchy for functions on triangulated surfaces, IEEE Transactions on Visualization and Computer Graphics, vol.10, issue.4, pp.385-396, 2004.
DOI : 10.1109/TVCG.2004.3

H. Carr, J. Snoeyink, and M. V. De-panne, Simplifying flexible isosurfaces using local geometric measures, IEEE Visualization 2004, pp.497-504, 2004.
DOI : 10.1109/VISUAL.2004.96

H. Edelsbrunner and E. P. Mücke, Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms

T. Funkhouser, M. Kazhdan, P. Shilane, P. Min, W. Kiefer et al., Modeling by example, ACM Transactions on Graphics, vol.23, issue.3, pp.652-663, 2004.
DOI : 10.1145/1015706.1015775

F. Hétroy, Constriction computation using surface curvature, Eurographics Association, pp.1-4, 2005.

F. Hétroy and D. Attali, From a closed piecewise geodesic to a constriction on a closed triangulated surface, 11th Pacific Conference onComputer Graphics and Applications, 2003. Proceedings., pp.394-398, 2003.
DOI : 10.1109/PCCGA.2003.1238282

M. Hilaga, Y. Shinagawa, T. Kohmura, and T. Kunii, Topology matching for fully automatic similarity estimation of 3D shapes, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.203-212
DOI : 10.1145/383259.383282

S. Katz, G. Leifman, and A. Tal, Mesh segmentation using feature point and core extraction, The Visual Computer, vol.21, issue.8-10, pp.865-875, 2005.
DOI : 10.1007/s00371-005-0344-9

S. Katz and A. Tal, Hierarchical mesh decomposition using fuzzy clustering and cuts, ACM Transactions on Graphics, vol.22, issue.3, pp.954-961, 2003.
DOI : 10.1145/882262.882369

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.749

J. J. Koenderink and A. J. Van-doorn, Surface shape and curvature scales, Image and Vision Computing, vol.10, issue.8, pp.557-565, 1992.
DOI : 10.1016/0262-8856(92)90076-F

F. Lazarus and A. Verroust, Level set diagrams of polyhedral objects, Proceedings of the fifth ACM symposium on Solid modeling and applications , SMA '99, 1999.
DOI : 10.1145/304012.304025

URL : https://hal.archives-ouvertes.fr/inria-00073138

M. Meyer, M. Desbrun, P. Schröder, and A. H. Barr, Discrete Differential-Geometry Operators for Triangulated 2-Manifolds, pp.33-57
DOI : 10.1007/978-3-662-05105-4_2

M. Morse, Relations between the critical points of a real function of n independant variables, Trans. Am. Math. Soc, vol.27, pp.345-396, 1925.

M. Mortara and G. Patanè, Affine-invariant skeleton of 3D shapes, Proceedings SMI. Shape Modeling International 2002, pp.245-252, 2002.
DOI : 10.1109/SMI.2002.1003552

X. Ni, M. Garland, and J. Hart, Fair morse functions for extracting the topological structure of a surface mesh, ACM Transactions on Graphics, vol.23, issue.3, pp.613-622, 2004.
DOI : 10.1145/1015706.1015769

T. Nieda, A. Pasko, T. L. Kunii, R. Ogniewicz, and M. Ilg, Detection and classification of topological evolution for linear metamorphosis, IEEE Computer Vision and Pattern Recognition, pp.346-356, 1992.
DOI : 10.1007/s00371-006-0011-9

J. Podolak, P. Shilane, A. Golovinskiy, S. Rusinkiewicz, and T. Funkhouser, A planar-reflective symmetry transform for 3D shapes, ACM Transactions on Graphics, vol.25, issue.3, pp.549-559, 2006.
DOI : 10.1145/1141911.1141923

G. Reeb, Sur les points singuliers d'une forme de Pfaff complètement intégrable ou d'une fonction numérique, C.R. Acad. Sci, vol.222, pp.847-849, 1946.

P. Shilane, P. Min, M. Kazhdan, and T. Funkhouser, The princeton shape benchmark, Proceedings Shape Modeling Applications, 2004., pp.167-178, 2004.
DOI : 10.1109/SMI.2004.1314504

Y. Shinagawa, T. L. Kunii, and Y. L. Kergosien, Surface coding based on Morse theory, IEEE Computer Graphics and Applications, vol.11, issue.5, pp.66-78, 1991.
DOI : 10.1109/38.90568

S. Takahashi, T. Ikeda, Y. Shinagawa, T. L. Kunii, and M. Ueda, Algorithms for Extracting Correct Critical Points and Constructing Topological Graphs from Discrete Geographical Elevation Data, Computer Graphics Forum, vol.14, issue.3, pp.181-192, 1995.
DOI : 10.1111/j.1467-8659.1995.cgf143_0181.x

J. Tierny, J. P. Vandeborre, and M. Daoudi, 3D mesh skeleton extraction using topological and geometrical analyses, Pacific Graphics, pp.85-94, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00725576

F. C. Wu, W. C. Ma, R. H. Liang, B. Y. Chen, and M. Ouhyoung, Domain connected graph: the skeleton of a closed 3D shape for animation, The Visual Computer, vol.22, issue.2, pp.117-135, 2006.
DOI : 10.1007/s00371-005-0357-4

H. Yamauchi, S. Gumhold, R. Zayer, and H. P. Seidel, Mesh segmentation driven by Gaussian curvature, The Visual Computer, vol.21, issue.8-10, pp.649-658, 2005.
DOI : 10.1007/s00371-005-0319-x

E. Zhang, K. Mischaikow, G. Turk, . G. Aujay, and L. F. Hétroy-f, Feature-based surface parameterization and texture mapping, Symposium on Computer Animation, pp.1-27, 2005.
DOI : 10.1145/1037957.1037958

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.8484

[. S. , G. D. Spagnuolo-m, and . Falcidieno-b, Reeb graphs for shape analysis and applications, Theoretical Computer Science, vol.392, pp.5-22, 2008.

. Bustos-b, S. A. Keim-d, . Schreck-t, and . V. Vranic-d, Feature-based similarity search in 3D object databases, ACM Computing Surveys, vol.37, issue.4, pp.345-387, 2005.
DOI : 10.1145/1118890.1118893

[. S. Mortara-m and . Spagnuolo-m, Surface compression and reconstruction using Reeb graphs and shape analysis, Spring Conference on Computer Graphics, pp.175-184, 2000.

[. S. , M. S. Spagnuolo-m, and . Falcidieno-b, Sub-part correspondence by structural descriptors of 3D shapes, Computer-Aided Design Journal, vol.38, pp.1002-1019, 2006.

C. N. , D. M. Silver-d, . Shokoufandeh-a, . Dickinson-s, and . B. Kantor-p, 3D object retrieval using many-to-many matching of curve skeletons, IEEE Shape Modeling International, pp.366-371, 2005.

[. , E. H. , H. J. Natarajan-v, and . Pascucci-v, Loops in Reeb graphs of 2-manifolds, Symposium on Computational Geometry, pp.344-350, 2003.

C. D. Tian-x, . T. Shen-y, and . Ouhyoung-m, On visual similarity based 3D model retrieval, Computer Graphics Forum, vol.22, pp.223-232, 2003.

H. [. and M. A. Pascucci-v, Time-varying Reeb graphs for continuous space-time data, Symposium on Computational Geometry, pp.366-372, 2004.

H. [. Zomorodian-a, Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds, Symposium on Computational Geometry, pp.70-79, 2001.

. A. Fomenko, Topological Modeling for Visualization, 1997.
DOI : 10.1007/978-4-431-66956-2

. T. Fks-*-04-]-funkhouser, . Kazhdan-m, M. P. Shilane-p, T. A. Kiefer-w, and R. S. Dobkin-d, Modeling by example, ACM Transactions on Graphics, vol.23, issue.3, pp.652-663, 2004.
DOI : 10.1145/1015706.1015775

M. T. Fmk-*-03-]-funkhouser, C. J. Kazhdan-m, . Halderman-a, and . Dobkin-d, A search engine for 3D models, ACM Transactions on Graphics, vol.22, issue.1, pp.83-105, 2003.
DOI : 10.1145/588272.588279

. [. Shilane-p, Partial matching of 3D shapes with priority-driven search, Eurographics Symposium on Geometry Processing, pp.131-142, 2006.

. [. Ccohen-or, Salient geometric features for partial shape matching and similarity, ACM Transactions on Graphics, vol.25, pp.130-150, 2006.

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

[. , K. A. Donamukkala-r, and . Hebert-m, Parts-based 3D object classification, IEEE Computer Vision and Pattern Recognition, pp.82-89, 2004.

. [. Shinagawa-y and . Kohmura-t, Topology matching for fully automatic similarity estimation of 3D shapes, SIGGRAPH, pp.203-212, 2001.

J. S. Iyer-n and L. K. Kalyanaraman-y, Three-dimensional shape searching: state-of-the-art review and future trends, Computer-Aided Design, vol.37, issue.5, pp.509-530, 2005.
DOI : 10.1016/j.cad.2004.07.002

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

[. Zhang-h, A spectral approach to shapebased retrieval of articulated 3D models, Computer-Aided Design Journal, vol.39, pp.398-407, 2007.

[. Leifman-g and . Tal-a, Semantic-oriented 3d shape retrieval using relevance feedback, The Visual Computer, vol.Processing, issue.8-10, pp.865-875, 2005.
DOI : 10.1007/s00371-005-0341-z

. [. Shokoufandeh-a, . Demirci-m, and . Dickinso-s, Many-to-many graph matching via metric embedding, IEEE Computer Vision and Pattern Recognition, pp.850-857, 2003.

[. Zhang-h, Mesh segmentation via spectral embedding and contour analysis, Computer Graphics Forum, vol.26, pp.385-394, 2007.

[. and Z. H. Qin-h, Shape topics: a compact representation and new algorithms for 3D partial shape retrieval, IEEE Computer Vision and Pattern Recognition, pp.2025-2032, 2006.

. [. Bunke-h, A new algorithm for error-tolerant subgraph isomorphism detection, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.20, pp.493-504, 1998.

M. N. Guibas-l and P. M. , Partial and approximate symmetry detection for 3D geometry, ACM Transactions on Graphics, vol.25, pp.560-568, 2006.

[. S. Paraboschi-l and . Biasotti-s, SHape Retrieval Contest 2007: Partial matching track, SHREC (in conjunction with IEEE Shape Modeling International), pp.13-16, 2007.

. [. Scorzelli-g, . T. Bremer-p, and . Mascarenhas-a, Robust on-line computation of Reeb graphs: Simplicity and speed, ACM Transactions on Graphics, vol.26, pp.58-59, 2007.

. A. Sharf, . Blumenkrants-m, . Shamir-a, and . D. Cohen-or, SnapPaste: an interactive technique for easy mesh composition, The Visual Computer, vol.23, issue.3, pp.835-844, 2006.
DOI : 10.1007/s00371-006-0068-5

. [. Schmitt-f, The augmented multiresolution Reeb graph approach for content-based retrieval of 3D shapes, International Journal of Shape Modeling, vol.11, pp.91-120, 2005.

. [. Veltkamp-r, A survey of content based 3D shape retrieval methods, IEEE Shape Modeling International, pp.145-156, 2004.

[. J. Vandeborre-j.-p, Reeb chart unfolding based 3D shape signatures, Eurographics, pp.13-16, 2007.

[. J. Vandeborre-j.-p, Enhancing 3D mesh topological skeletons with discrete contour constrictions, The Visual Computer, vol.24, pp.155-172, 2008.

[. S. , W. Y. , J. M. Gg-x, and . Samaras-d, 3D surface matching and recognition using conformal geometry, IEEE Computer Vision and Pattern Recognition, pp.2453-2460, 2006.

[. Mischaikow-k and . Turk-g, Featurebased surface parametrization and texture mapping, ACM Transactions on Graphics, vol.24, pp.1-27, 2005.

G. Antini, S. Berretti, and P. Pala, 3D Mesh Partitioning for Retrieval by Parts Applications, 2005 IEEE International Conference on Multimedia and Expo, 2005.
DOI : 10.1109/ICME.2005.1521645

M. Attene, B. Falcidieno, and M. Spagnuolo, Hierarchical mesh segmentation based on fitting primitives, The Visual Computer, vol.22, issue.3, pp.181-193, 2006.
DOI : 10.1007/s00371-006-0375-x

M. Attene, S. Katz, M. Mortara, G. Patané, M. Spagnuolo et al., Mesh Segmentation - A Comparative Study, IEEE International Conference on Shape Modeling and Applications 2006 (SMI'06), p.7, 2006.
DOI : 10.1109/SMI.2006.24

H. Benhabiles, J. P. Vandeborre, G. Lavoué, and M. Daoudi, A framework for the objective evaluation of segmentation algorithms using a ground-truth of human segmented 3D-models, 2009 IEEE International Conference on Shape Modeling and Applications, 2009.
DOI : 10.1109/SMI.2009.5170161

URL : https://hal.archives-ouvertes.fr/hal-00667994

S. Berretti, A. D. Bimbo, and P. Pala, 3D Mesh decomposition using Reeb graphs, Image and Vision Computing, vol.27, issue.10, pp.1540-1554, 2009.
DOI : 10.1016/j.imavis.2009.02.004

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.403.2587

I. Biederman, Recognition-by-components: A theory of human image understanding., Psychological Review, vol.94, issue.2, pp.115-147, 1987.
DOI : 10.1037/0033-295X.94.2.115

X. Chen, A. Golovinskiy, and T. Funkhouser, A benchmark for 3d mesh segmentation, ACM Trans. Graph. (SIGGRAPH), vol.28, issue.3, 2009.

J. Cohen, A Coefficient of Agreement for Nominal Scales, Educational and Psychological Measurement, vol.20, issue.1, pp.37-46, 1960.
DOI : 10.1177/001316446002000104

M. Corsini, E. D. Gelasca, T. Ebrahimi, and M. Barni, Watermarked 3-D Mesh Quality Assessment, IEEE Transactions on Multimedia, vol.9, issue.2, pp.247-256, 2007.
DOI : 10.1109/TMM.2006.886261

W. W. Daniel, A Foundation for Analysis in the Health Sciences Books, 1999.

E. B. Fowlkes and C. L. Mallows, A Method for Comparing Two Hierarchical Clusterings, Journal of the American Statistical Association, vol.66, issue.383, pp.553-569, 1983.
DOI : 10.1080/01621459.1983.10478008

T. Funkhouser, M. Kazhdan, P. Shilane, P. Min, W. Kiefer et al., Modeling by example, Proc. SIGGRAPH), 2004.

G. Gerig, M. Jomier, and A. Chakos, Valmet: A New Validation Tool for Assessing and Improving 3D Object Segmentation, MIC- CAI 2001: Fourth International Conference on Medical Image Computing and Computer-Assisted Intervention, pp.516-523
DOI : 10.1007/3-540-45468-3_62

D. Giorgi, S. Biasotti, and L. Paraboschi, Shrec: shape retrieval contest: watertight models track, 2007.

A. Golovinskiy and T. Funkhouser, Randomized cuts for 3d mesh analysis, ACM Trans. Graph, vol.27, issue.5, 2008.

Z. Ji, L. Liu, Z. Chen, and G. Wang, Easy Mesh Cutting, Computer Graphics Forum, vol.25, issue.1, pp.283-291, 2006.
DOI : 10.1109/34.632982

S. Katz and A. Tal, Hierarchical mesh decomposition using fuzzy clustering and cuts, ACM Transactions on Graphics, vol.22, issue.3, pp.954-961, 2003.
DOI : 10.1145/882262.882369

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.749

S. Katz, G. Leifman, and A. Tal, Mesh segmentation using feature point and core extraction, The Visual Computer, vol.21, issue.8-10, pp.8-10, 2005.
DOI : 10.1007/s00371-005-0344-9

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.360.7424

Y. K. Lai, S. M. Hu, R. R. Martin, and P. L. Rosin, Fast mesh segmentation using random walks, Proceedings of the 2008 ACM symposium on Solid and physical modeling , SPM '08, 2008.
DOI : 10.1145/1364901.1364927

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.7019

G. Lavoué, F. Dupont, and A. Baskurt, A new CAD mesh segmentation method, based on curvature tensor analysis, Computer-Aided Design, vol.37, issue.10, pp.975-987, 2005.
DOI : 10.1016/j.cad.2004.09.001

D. Martin, C. Fowlkes, D. Tal, and J. Malik, A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, pp.416-423, 2001.
DOI : 10.1109/ICCV.2001.937655

W. M. Rand, Objective Criteria for the Evaluation of Clustering Methods, Journal of the American Statistical Association, vol.15, issue.336, pp.846-850, 1971.
DOI : 10.1080/01621459.1963.10500845

P. V. Sander, J. Snyder, S. J. Gortler, and H. Hoppe, Texture mapping progressive meshes, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.409-416, 2001.
DOI : 10.1145/383259.383307

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.114.8663

A. Shamir, A survey on Mesh Segmentation Techniques, Computer Graphics Forum, vol.26, issue.5, pp.1539-1556, 2008.
DOI : 10.1111/j.1467-8659.2007.01103.x

L. Shapira, A. Shamir, and D. Cohen-or, Consistent mesh partitioning and skeletonisation using the shape diameter function, The Visual Computer, vol.26, issue.5, pp.249-259, 2008.
DOI : 10.1007/s00371-007-0197-5

A. Sheffer, E. Praun, and K. Rose, Mesh Parameterization Methods and Their Applications, Foundations and Trends?? in Computer Graphics and Vision, vol.2, issue.2, p.64, 2007.
DOI : 10.1561/0600000011

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.225.1016

J. Tierny, J. P. Vandeborre, and M. Daoudi, Topology driven 3D mesh hierarchical segmentation, IEEE International Conference on Shape Modeling and Applications 2007 (SMI '07), 2007.
DOI : 10.1109/SMI.2007.38

URL : https://hal.archives-ouvertes.fr/hal-00725321

R. Unnikrishnan, C. Pantofaru, and M. Hebert, Toward Objective Evaluation of Image Segmentation Algorithms, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.29, issue.6, pp.929-944, 2007.
DOI : 10.1109/TPAMI.2007.1046

E. Zeckerberger, A. Tal, and S. Shlafman, Polyhedral surface decomposition with applications, Computers & Graphics, vol.26, issue.5, pp.733-743, 2002.
DOI : 10.1016/S0097-8493(02)00128-0

H. Zhang, J. Fritts, S. M. Goldman, . Falcidieno-b, and . Spagnuolo-m, Image segmentation evaluation: A survey of unsupervised methods, Computer Vision and Image Understanding, vol.110, issue.2, pp.260-280, 2006.
DOI : 10.1016/j.cviu.2007.08.003

. M. Akm-*-06-]-attene, . Katz-s, . Mortara-m, . Patané-g, . Spagnuolo-m et al., Mesh segmentation, a comparative study, IEEE International Conference on Shape Modeling and Applications (SMI), 2006.

. [. Vandeborre-j.-p and . Lavoué-g, A framework for the objective evaluation of segmentation algorithms using a ground-truth of human segmented 3D-models, IEEE International Conference on Shape Modeling and Applications (SMI), pp.36-43, 2009.

. [. Vandeborre-j.-p and . Lavoué-g, A comparative study of existing metrics for 3D-mesh segmentation evaluation, The Visual Computer, vol.26, pp.12-1451, 2010.

[. E. Schapire-r, A decision-theoretic generalization of on-line learning and an application to boosting, Journal of Computer and System Sciences, vol.55, issue.1, pp.119-139, 1997.

. [. Gross-m, Multiresolution feature extraction for unstructured meshes, Proceedings of the Conference on Visualization (VIS'01), pp.287-294, 2001.

]. Hzcp04, . X. He, . S. Zemel-r, and P. M. Carreira-perpi?n´anperpi?nperpi?n´, Multiscale conditional random fields for image labeling, Proceedings of the IEEE Computer Vision and Pattern Recognition (CVPR), pp.695-702, 2004.

J. Z. Liu-l, C. Z. , and W. G. , Easy mesh cutting, Computer Graphics Forum, vol.25, issue.3, pp.283-291, 2006.

[. J. Hoogs-a, Learning to segment images using region-based perceptual features, IEEE Computer Vision and Pattern Recognition, issue.2, pp.954-961, 2004.

. [. Hertzmann-a and . Singh-k, Learning 3D Mesh Segmentation and Labeling, ACM Transactions on Graphics (SIGGRAPH), vol.29, issue.3, 2010.

[. Tal-a, Hierarchical mesh decomposition using fuzzy clustering and cuts, ACM Transactions on Graphics (SIGGRAPH), vol.22, issue.3, pp.954-961, 2003.

. [. Dupont-f and . Baskurt-a, A new cad mesh segmentation method based on curvature tensor c 2011 The Authors Computer Graphics Forum c 2011 The Eurographics Association and, analysis. Computer Aided Design, vol.37, pp.10-975, 2005.

[. Hu-s.-m, M. R. , and R. P. , Fast mesh segmentation using random walks, Proceedings of the ACM Symposium on Solid and Physical Modeling (Stony Brook, pp.183-191, 2008.

L. Y. , L. S. Shamir-a, . D. Cohen-or, and . Seidel-h.-p, Mesh scissoring with minima rule and part salience, Computer Aided Geometric Design, vol.22, pp.5-444, 2005.

M. D. Fowlkes-c and M. J. , Learning to detect natural image boundaries using local brightness, color, and texture cues, IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), vol.26, issue.5, pp.530-549, 2004.

]. Sha08 and . A. Shamir, A survey on mesh segmentation techniques, Computer Graphics Forum, vol.27, issue.6, pp.1539-1556, 2008.

N. [. Kalogerakis-e and . Singh-k, Multi-objective shape segmentation and labeling, Computer Graphics Forum, vol.28, pp.5-1415, 2009.

. [. 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.

. Swrc09, W. J. Shotton, R. C. , and C. A. , Textonboost for image understanding: Multi-class object recognition and segmentation by jointly modeling texture, layout, and context, International Journal of Computer Vision, vol.81, issue.1, pp.2-23, 2009.

[. J. Vandeborre-j.-p, Topology driven 3D mesh hierarchical segmentation, Proceedings of the IEEE International Conference on Shape Modeling and Applications (SMI), 2007.

T. [. Shlafman-s, Polyhedral surface decomposition with applications, Computers and Graphics, vol.26, issue.5, pp.733-743, 2002.

]. Zvkd07, . Zhang-h, . Van-kaick-o, and . Dyer-r, Spectral methods for mesh processing and analysis, Proceedings of the Eurographics State-of-the-Art Report, pp.1-22, 2007.

G. Antini, S. Berretti, A. D. Bimbo, P. Pala, ]. Ansary et al., Retrieval of 3D Objects Using Curvature Correlograms A Bayesian 3D Search Engine Using Adaptive Views Clustering Pose Oblivious Shape Signature Topology Matching for Fully Automatic Similarity Estimation of 3D Shapes, Proc. IEEE Int'l Conf. Multimedia and Expo Proc. ACM SIGGRAPH Geometric Modeling of Rigid and Non-Rigid 3D Shapes Using the Global Geodesic Function Proc. IEEE CS Conf. Computer Vision and Pattern Recognition Workshops, pp.78-88, 2001.

J. Tierny, J. Vandeborre, M. D. Liu, H. Zha, H. Qin et al., Partial 3D Shape Retrieval by Reeb Pattern Unfolding, Proc. IEEE CS Conf Proc. Second IEEE Int'l Conf. Biometrics: Theory, Applications and Systems, pp.41-55, 2006.
DOI : 10.1111/j.1467-8659.2008.01190.x

URL : https://hal.archives-ouvertes.fr/hal-00662254

C. Samir, A. Srivastava, M. Daoudi, and E. Klassen, An Intrinsic Framework for Analysis of Facial Surfaces, International Journal of Computer Vision, vol.58, issue.3, pp.80-95, 2009.
DOI : 10.1007/s11263-008-0187-8

URL : https://hal.archives-ouvertes.fr/hal-00665862

M. Mortara and G. Patanè, Affine-invariant skeleton of 3D shapes, Proceedings SMI. Shape Modeling International 2002, pp.245-252, 2002.
DOI : 10.1109/SMI.2002.1003552

S. Katz, G. Leifman, and A. Tal, Mesh segmentation using feature point and core extraction, The Visual Computer, vol.21, issue.8-10, pp.865-875, 2005.
DOI : 10.1007/s00371-005-0344-9

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.360.7424

K. Cole-mclaughlin, H. Edelsbrunner, J. Harer, V. Natarajan, and V. Pascucci, Loops in Reeb Graphs of 2-Manifolds, Proc. 19th Ann. Symp. Computational Geometry, pp.344-350, 2003.

X. Li, Y. He, X. Gu, and H. Qin, Curves-On-Surface: A General Shape Comparison Framework, Proc. IEEE Int'l Conf. Shape Modeling and Applications, 2006.

Y. Laurent, Computable Elastic Distance between Shapes, SIAM J. Applied Math, vol.58, pp.565-586, 1998.

P. W. Michor and D. Mumford, Riemannian geometries on spaces of plane curves, Journal of the European Mathematical Society, vol.8, pp.1-48, 2006.
DOI : 10.4171/JEMS/37

S. Joshi, E. Klassen, A. Srivastava, and I. Jermyn, Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves, Proc. Sixth Int'l Conf. Energy Minimization Methods in Computer Vision and Pattern Recognition, pp.387-398, 2007.
DOI : 10.1007/978-3-540-74198-5_30

A. Yezzi and A. Mennucci, Conformal metrics and true "gradient flows" for curves, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1, pp.913-919, 2005.
DOI : 10.1109/ICCV.2005.60

E. Klassen and A. Srivastava, Geodesics Between 3D Closed Curves Using Path-Straightening, Proc. Ninth European Conf. Computer Vision, pp.95-106, 2006.
DOI : 10.1007/11744023_8

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.459.4124

P. Smets and R. Kennes, The transferable belief model, Artificial Intelligence, vol.66, issue.2, pp.191-234, 1994.
DOI : 10.1016/0004-3702(94)90026-4

URL : https://hal.archives-ouvertes.fr/hal-01185821

G. Shafer, A Mathematical Theory of Evidence, 1976.

A. Bronstein, M. Bronstein, and R. Kimmel, Efficient Computation of Isometry???Invariant Distances Between Surfaces, SIAM Journal on Scientific Computing, vol.28, issue.5, pp.1812-1836, 2006.
DOI : 10.1137/050639296

S. Marini, L. Paraboschi, and S. Biasotti, Shape Retrieval Contest 2007: Partial Matching Track, Proc. SHREC in Conjunction with Proc. Int'l Conf. Shape Modeling and Applications, pp.13-16, 2007.

D. Saupe and D. Vranic, 3D Model Retrieval with Spherical Harmonics and Moments, Pattern Recognition, pp.392-397, 2001.
DOI : 10.1007/3-540-45404-7_52

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.72.1318

D. Vranic, 3D Model Retrieval, 2004.

R. Osada, T. Funkhouser, B. Chazelle, and D. Dobkin, Shape distributions, ACM Transactions on Graphics, vol.21, issue.4, pp.807-832, 2002.
DOI : 10.1145/571647.571648

A. Bronstein, M. Bronstein, M. Mahmoudi, R. Kimmel, and G. Sapiro, A Gromov-Hausdorff Framework with Diffusion Geometry for??Topologically-Robust Non-rigid Shape Matching, International Journal of Computer Vision, vol.9, issue.2, pp.266-286, 2010.
DOI : 10.1007/s11263-009-0301-6

A. Gil, O. M. Mozos, M. Ballesta, and O. Reinoso, A comparative evaluation of interest point detectors and local descriptors for visual SLAM, Machine Vision and Applications, pp.905-920, 2009.
DOI : 10.1007/s00138-009-0195-x