A. O. Azencot, M. Ben-chen, F. Chazal, and M. Ovsjanikov, An Operator Approach to Tangent Vector Field Processing, Computer Graphics Forum, vol.22, issue.1, pp.73-82, 2013.
DOI : 10.1145/882262.882290

URL : https://hal.archives-ouvertes.fr/hal-00923607

[. Azencot, E. Corman, M. Ben-chen, and M. Ovsjanikov, Consistent functional cross field design for mesh quadrangulation, ACM Transactions on Graphics, vol.36, issue.4, pp.1-9213, 2017.
DOI : 10.1109/TDPVT.2004.1335277

N. [. Mohy and . Higham, Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators, SIAM Journal on Scientific Computing, vol.33, issue.2, pp.488-511, 2011.
DOI : 10.1137/100788860

[. Absil, R. Mahony, and R. Sepulchre, Optimization algorithms on matrix manifolds, 2009.
DOI : 10.1515/9781400830244

[. Aubry, U. Schlickewei, and D. Cremers, The wave kernel signature: A quantum mechanical approach to shape analysis, 2011 IEEE International Conference on Computer Vision Workshops (ICCV Workshops), 2011.
DOI : 10.1109/ICCVW.2011.6130444

P. Anguelov, D. Srinivasan, S. Koller, J. Thrun, J. Rodgers et al., SCAPE, ACM Transactions on Graphics, vol.24, issue.3, pp.408-416, 2005.
DOI : 10.1145/1073204.1073207

O. [. Azencot, M. Vantzos, and . Ben-chen, Advection-Based Function Matching on Surfaces, Computer Graphics Forum, vol.338, issue.3, 2016.
DOI : 10.1090/gsm/058

O. O. Azencot, M. Vantzos, M. Wardetzky, M. Rumpf, and . Ben-chen, Functional thin films on surfaces, Proceedings of the 14th ACM SIGGRAPH / Eurographics Symposium on Computer Animation, SCA '15, 2015.
DOI : 10.1145/2037636.2037644

. Awo-+-14-]-o, S. Azencot, M. Weißmann, M. Ovsjanikov, M. Wardetzky et al., Functional fluids on surfaces Not only size matters: regularized partial matching of nonrigid shapes, Proc. NORDIA, pp.237-246, 2008.

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

D. [. Boscaini, D. Eynard, M. M. Kourounis, and . Bronstein, Shape-from-Operator: Recovering Shapes from Intrinsic Operators, Computer Graphics Forum, vol.74, issue.4, pp.265-274, 2015.
DOI : 10.1016/j.gmod.2012.03.009

]. D. Ber98 and . Bertsekas, Network Optimization: Continuous and Discrete Models, Athena Scientific, 1998.

D. Bommes, B. Lévy, N. Pietroni, E. Puppo, C. Silva et al., Quad-Mesh Generation and Processing: A Survey, Computer Graphics Forum, vol.4, issue.2, pp.51-76, 2013.
DOI : 10.1145/1183287.1183290

URL : https://hal.archives-ouvertes.fr/hal-01059755

N. [. Besl and . Mckay, A method for registration of 3-D shapes, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.14, issue.2, pp.239-256, 1992.
DOI : 10.1109/34.121791

[. Bommes, H. Zimmer, and L. Kobbelt, Mixed-integer quadrangulation, ACM Transactions On Graphics (TOG), vol.28, issue.3, p.77, 2009.
DOI : 10.1145/1531326.1531383

URL : http://www-sop.inria.fr/members/David.Bommes/publications/miq.pdf

X. [. Candès, Y. Li, J. Ma, and . Wright, Robust principal component analysis?, Journal of the ACM, vol.58, issue.3, pp.1-37, 2011.
DOI : 10.1145/1970392.1970395

M. [. Corman, A. Ovsjanikov, and . Chambolle, Supervised Descriptor Learning for Non-Rigid Shape Matching, Proc. NORDIA, 2014.
DOI : 10.1007/978-3-319-16220-1_20

URL : http://www.lix.polytechnique.fr/%7Emaks/papers/learning.pdf

M. [. Corman, A. Ovsjanikov, and . Chambolle, Continuous Matching via Vector Field Flow, Computer Graphics Forum, vol.29, issue.7, pp.129-139, 2015.
DOI : 10.1109/TPAMI.2007.1050

B. [. Candès and . Recht, Exact Matrix Completion via Convex Optimization, Foundations of Computational Mathematics, vol.170, issue.1, pp.717-772, 2009.
DOI : 10.1017/CBO9780511814068

. Crb-+-16-]-l, E. Cosmo, M. M. Rodolà, and . Bronstein, SHREC'16: Partial matching of deformable shapes, Proc. 3DOR, 2016.

. Crm-+-16-]-l, E. Cosmo, J. Rodolà, A. Masci, M. Torsello et al., Matching deformable objects in clutter, Proc. 3DV, 2016.

E. Corman, J. Solomon, M. Ben-chen, L. Guibas, and M. Ovsjanikov, Functional characterization of intrinsic and extrinsic geometry, ACM Trans. Graph, vol.3614, issue.2, pp.1-1417, 2017.
DOI : 10.1145/3072959.3126796

D. Hans-christian-ebke, M. Bommes, L. Campen, and . Kobbelt, QEx: robust quad mesh extraction, ACM Transactions on Graphics (TOG), vol.32, issue.6, p.168, 2013.

]. D. Ekb-+-15, A. Eynard, M. M. Kovnatsky, K. Bronstein, A. M. Glashoff et al., Multimodal manifold analysis by simultaneous diagonalization of Laplacians, Trans. PAMI, issue.12, pp.372505-2517, 2015.

E. [. Eynard, K. Rodolà, M. M. Glashoff, and . Bronstein, Coupled Functional Maps, 2016 Fourth International Conference on 3D Vision (3DV), 2016.
DOI : 10.1109/3DV.2016.49

M. [. Glashoff and . Bronstein, Optimization on the biorthogonal manifold, 2016.

L. [. Huang and . Guibas, Consistent Shape Maps via Semidefinite Programming, Computer Graphics Forum, vol.2, issue.4, pp.177-186, 2013.
DOI : 10.1145/571647.571648

URL : http://graphics.stanford.edu/%7Ehuangqx/hg-csmsdp-13.pdf

A. [. Hochbruck and . Ostermann, Exponential integrators, Acta Numerica, vol.19, pp.209-286, 2010.
DOI : 10.1017/S0962492910000048

F. [. Huang, L. J. Wang, and . Guibas, Functional map networks for analyzing and exploring large shape collections, ACM Transactions on Graphics, vol.33, issue.4, pp.1-36, 2014.
DOI : 10.1111/j.1467-9868.2005.00532.x

]. V. Jzvk07, H. Jain, O. Zhang, and . Van-kaick, Non-rigid spectral correspondence of triangle meshes, International J. Shape Modeling, vol.13, issue.1, pp.101-124, 1995.

]. A. Kbb-+-12, M. Kovnatsky, A. Bronstein, K. Bronstein, R. Glashoff et al., Coupled quasi-harmonic bases, Computer Graphics Forum, vol.32, pp.439-448, 2012.

V. Kalofolias, X. Bresson, M. M. Bronstein, and P. Vandergheynst, Matrix completion on graphs, 2014.

M. [. Kovnatsky, X. Bronstein, P. Bresson, and . Vandergheynst, Functional correspondence by matrix completion, 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2015.
DOI : 10.1109/CVPR.2015.7298692

URL : http://arxiv.org/abs/1412.8070

K. [. Kovnatsky, M. M. Glashoff, and . Bronstein, MADMM: A Generic Algorithm for Non-smooth Optimization on Manifolds, Proc. ECCV, 2016.
DOI : 10.1007/978-1-84800-155-8_7

URL : http://arxiv.org/pdf/1505.07676

Y. [. Kim, T. Lipman, and . Funkhouser, Blended intrinsic maps, ACM Trans. Graphics, vol.30, issue.4, 2011.
DOI : 10.1145/1964921.1964974

]. H. Kuh55 and . Kuhn, The Hungarian method for the assignment problem, Naval Research Logistics Quarterly, vol.2, issue.12, pp.83-97, 1955.

A. [. Litman, M. M. Bronstein, and . Bronstein, Diffusion-geometric maximally stable component detection in deformable shapes, Computers & Graphics, vol.35, issue.3, pp.549-560, 2011.
DOI : 10.1016/j.cag.2011.03.011

URL : http://arxiv.org/pdf/1012.3951

A. [. Litany, M. M. Bronstein, and . Bronstein, Putting the Pieces Together: Regularized Multi-part Shape Matching, Proc. NORDIA, 2012.
DOI : 10.1007/978-3-642-33863-2_1

URL : http://vista.eng.tau.ac.il/publications/LitBroBroNORDIA12.pdf

]. O. Lrb-+-16, E. Litany, A. M. Rodolà, M. M. Bronstein, D. Bronstein et al., Non-rigid puzzles, Computer Graphics Forum, vol.35, issue.5, p.2016

E. [. Litany, A. M. Rodolà, M. M. Bronstein, and . Bronstein, Fully Spectral Partial Shape Matching, Computer Graphics Forum, vol.30, issue.5, p.2017
DOI : 10.1111/j.1467-8659.2011.02021.x

M. Meyer, M. Desbrun, P. Schröder, and A. H. Barr, Discrete Differential-Geometry Operators for Triangulated 2-Manifolds, Proc. VisMath, 2002.
DOI : 10.1007/978-3-662-05105-4_2

]. D. Mhk-+-08, R. P. Mateus, D. Horaud, F. Knossow, E. Cuzzolin et al., Articulated shape matching using laplacian eigenfunctions and unsupervised point registration, Proc. CVPR, 2008.

X. [. Myronenko and . Song, Point Set Registration: Coherent Point Drift, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.32, issue.12, pp.2262-2275, 2010.
DOI : 10.1109/TPAMI.2010.46

URL : http://arxiv.org/pdf/0905.2635

D. Nogneng and M. Ovsjanikov, Informative Descriptor Preservation via Commutativity for Shape Matching, Proc. Eurographics, p.2017
DOI : 10.1111/j.1467-8659.2011.01884.x

J. Ben-chen, A. Solomon, L. J. Butscher, and . Guibas, Functional maps: a flexible representation of maps between shapes, ACM Trans. Graphics, vol.3130, issue.4, pp.1-3011, 2012.

?. [. Ozolin, R. Lai, R. Caflisch, and S. Osher, Compressed modes for variational problems in mathematics and physics, Proceedings of the National Academy of Sciences, vol.114, issue.2, pp.11018368-18373, 2013.
DOI : 10.1016/j.jmva.2012.07.004

M. Ovsjanikov, Q. Merigot, F. Memoli, and L. J. Guibas, One Point Isometric Matching with the Heat Kernel, Computer Graphics Forum, vol.27, issue.5, pp.1555-1564, 2010.
DOI : 10.1111/j.1467-8659.2008.01283.x

URL : https://hal.archives-ouvertes.fr/hal-00543885

M. Ovsjanikov, Q. Mérigot, L. Viorica, and . Guibas, Shape Matching via Quotient Spaces, Computer Graphics Forum, pp.1-11, 2013.
DOI : 10.1111/cgf.12007

URL : https://hal.archives-ouvertes.fr/hal-00947802

J. [. Ovsjanikov, L. J. Sun, and . Guibas, Global Intrinsic Symmetries of Shapes, Computer Graphics Forum, vol.27, issue.2, pp.1341-1348, 2008.
DOI : 10.1017/CBO9780511623783

URL : http://www.cs.princeton.edu/%7Ejiansun/paper_ppt/global_symmetry.pdf

]. J. Pbb-+-13, A. M. Pokrass, M. M. Bronstein, P. Bronstein, G. Sprechmann et al., Sparse modeling of intrinsic correspondences, Computer Graphics Forum, vol.32, pp.459-468, 2013.

K. [. Pinkall and . Polthier, Computing Discrete Minimal Surfaces and Their Conjugates, Experimental Mathematics, vol.3, issue.1, pp.15-36, 1993.
DOI : 10.1007/BF01386035

URL : ftp://ftp.math.tu-berlin.de/pub/geometer/polthier/diri_jem.ps.Z

L. E. Rodolà, M. M. Cosmo, A. Bronstein, D. Torsello, and . Cremers, Partial Functional Correspondence, Computer Graphics Forum, vol.30, issue.5, 2016.
DOI : 10.1111/j.1467-8659.2011.02021.x

M. [. Rodolà, D. Moeller, and . Cremers, Regularized point-wise map recovery from functional correspondence. Computer Graphics Forum

M. [. Rodolà, D. Moeller, and . Cremers, Point-wise map recovery and refinement from functional correspondence, Proc. VMV, 2015.

. M. Roa-+-13-]-r, M. Rustamov, O. Ovsjanikov, M. Azencot, F. Ben-chen et al., Map-based exploration of intrinsic shape differences and variability, ACM Trans. Graphics, vol.32, issue.4, pp.721-7212, 2013.

]. R. Rus07 and . Rustamov, Laplace-Beltrami eigenfunctions for deformation invariant shape representation, Proc. SGP, 2007.

M. [. Skraba, F. Ovsjanikov, L. J. Chazal, and . Guibas, Persistence-based segmentation of deformable shapes, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Workshops, pp.45-52, 2010.
DOI : 10.1109/CVPRW.2010.5543285

URL : https://hal.archives-ouvertes.fr/hal-00772475

. J. Sog09, M. Sun, L. J. Ovsjanikov, and . Guibas, A Concise and Provably Informative Multi-Scale Signature Based on Heat Diffusion, Computer Graphics Forum, vol.28, issue.5, 2009.

J. [. Srebro, T. S. Rennie, and . Jaakkola, Maximum-margin matrix factorization, Proc. NIPS, 2004.

[. Sahillio?glu and Y. Yemez, Coarse-to-Fine Combinatorial Matching for Dense Isometric Shape Correspondence, Computer Graphics Forum, vol.23, issue.3, pp.1461-1470, 2011.
DOI : 10.1111/j.1467-8659.2010.01764.x

. Vlr-+-17-]-m, R. Vestner, E. Litman, A. M. Rodolà, D. Bronstein et al., Product manifold filter: Non-rigid shape correspondence via kernel density estimation in the product space, Proc. CVPR, 2017.

Q. [. Wang, M. Huang, L. J. Ovsjanikov, and . Guibas, Unsupervised multiclass joint image segmentation, Proc. CVPR, 2014.
DOI : 10.1109/cvpr.2014.402

URL : http://www.lix.polytechnique.fr/%7Emaks/papers/wang-CVPR-14.pdf

A. [. Wang and . Singer, Exact and stable recovery of rotations for robust synchronization, Information and Inference, vol.2, issue.2, pp.145-193, 2013.
DOI : 10.1093/imaiai/iat005

Y. [. Yuan and . Lin, Model selection and estimation in regression with grouped variables, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.58, issue.1, pp.49-67, 2006.
DOI : 10.1198/016214502753479356

W. Zeng, R. Guo, F. Luo, and X. Gu, Discrete heat kernel determines discrete Riemannian metric, Graphical Models, vol.74, issue.4, pp.121-129, 2012.
DOI : 10.1016/j.gmod.2012.03.009