A. Agudo, L. Agapito, B. Calvo, and J. M. Montiel, Good Vibrations: A Modal Analysis Approach for Sequential Non-Rigid Structure from Motion, CVPR, 2014.

A. Agudo, F. Moreno-noguer, B. Calvo, and J. M. Montiel, Sequential Non-Rigid Structure from Motion using Physical Priors, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.38, issue.5, pp.979-994, 2016.

I. Akhter, Y. Sheikh, S. Khan, and T. Kanade, Nonrigid Structure from Motion in Trajectory Space, NIPS, 2009.

A. Bartoli and E. Ozgür, A Perspective on Non-Isometric Shape-from-Template, ISMAR

A. Bartoli, V. Gay-bellile, U. Castellani, J. Peyras, S. Olsen et al., Coarse-to-fine Low-rank Structure-from-Motion, CVPR, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00344651

A. Bartoli, Y. Gérard, F. Chadebecq, and T. Collins, On Template-based Reconstruction from a Single View: Analytical Solutions and Proofs of Well-posedness for Developable, Isometric and Conformal surfaces, CVPR, 2012.
URL : https://hal.archives-ouvertes.fr/hal-02092764

A. Bartoli, Y. Gérard, F. Chadebecq, T. Collins, and D. Pizarro, Shape-from-Template, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.37, issue.10, pp.2099-2118, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01161841

F. L. Bookstein, Principal Warps: Thin-plate Splines and the Decomposition of Deformations, IEEE Transactions on Pattern Analysis and Machine Intelligence, issue.6, pp.567-585, 1989.

C. Bregler, A. Hertzmann, and H. Biermann, Recovering Non-rigid 3D Shape from Image Streams, CVPR, 2000.

T. Brox, A. Bruhn, N. Papenberg, and J. Weickert, High Accuracy Optical Flow Estimation Based on a Theory for Warping, ECCV, 2004.

F. Brunet, A. Bartoli, and R. Hartley, Monocular Template-based 3D Surface Reconstruction: Convex Inextensible and Nonconvex Isometric Methods. Computer Vision and Image Understanding, vol.125, pp.138-154, 2014.

´. E. Cartan, Sur les variétésvariétésà connexion affine, et la théorie de la relativité généralisée premì ere partie), Annales Scientifiques de l' ´ Ecole Normale Supérieure, vol.40, pp.325-412, 1923.

´. E. Cartan, Sur les varietes a connexion projective, Bulletin de la Société Mathématique, vol.52, pp.205-241, 1924.

´. E. Cartan, EspacesàEspacesà connexion affine, projective et conforme, Acta Mathematica, vol.48, pp.1-42, 1926.

´. E. Cartan, La théorie des groupes finis et continus et la géométrie différentielle traitées par la méthode du repère mobile, 1937.

´. E. Cartan, Differential Forms. (Translated from French), 1970.

A. Chhatkuli, D. Pizarro, and A. Bartoli, Non-Rigid Shape-from-Motion for Isometric Surfaces using Infinitesimal Planarity, BMVC, 2014.

A. Chhatkuli, D. Pizarro, T. Collins, and A. Bartoli, Inextensible Non-Rigid Shape-fromMotion by Second-Order Cone Programming, CVPR, 2016.
DOI : 10.1109/cvpr.2016.190

A. Chhatkuli, D. Pizarro, T. Collins, and A. Bartoli, A Stable Analytical Framework for Isometric Shape-from-Template by Surface Integration, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.39, issue.5, pp.833-850, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01657278

Y. Choe and R. L. Kashyap, 3-D Shape from a Shaded and Textural Surface Image, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.9, pp.907-919, 1991.
DOI : 10.1109/34.93809

T. Collins and A. Bartoli, Locally Affine and Planar Deformable Surface Reconstruction from Video, International Workshop on Vision, Modeling and Visualization, 2010.

T. Collins and A. Bartoli, Realtime Shape-from-Template: System and Applications, ISMAR, 2015.
DOI : 10.1109/ismar.2015.35

Y. Dai, H. Li, and M. He, A Simple Prior-free Method for Non-rigid Structure-from-Motion Factorization, CVPR, 2012.

A. D. Bue, A Factorization Approach to Structure from Motion with Shape Priors, CVPR, 2008.

A. Del-bue, F. Smeraldi, and L. Agapito, Non-rigid Structure from Motion using NonParametric Tracking and Non-linear Optimization, 2004.

H. Delingette, Toward Realistic Soft-tissue Modeling in Medical Simulation, Proceedings of the IEEE, vol.86, issue.3, pp.512-523, 1998.

P. Dierckx, Curve and Surface Fitting with Splines, pp.0-19, 1993.

R. Fabbri, Multiview Differential Geometry in Application to Computer Vision, p.2912, 2010.

R. Fabbri and B. B. Kimia, Multiview Differential Geometry of Curves, International Journal of Computer Vision, vol.120, issue.3, pp.324-346, 2016.

J. Fayad, L. Agapito, and A. Del-bue, Piecewise quadratic reconstruction of non-rigid surfaces from monocular sequences, ECCV, 2010.

M. Gallardo, T. Collins, and A. Bartoli, Using Shading and a 3D Template to Reconstruct Complex Surface Deformations, BMVC, 2016.

M. Gallardo, T. Collins, and A. Bartoli, Dense Non-Rigid Structure-from-Motion and Shading with Unknown Albedos, 2017.

R. Garg, A. Roussos, and L. Agapito, Dense Variational Reconstruction of Non-rigid Surfaces from Monocular Video, CVPR, 2013.

R. Garg, A. Roussos, and L. Agapito, A Variational Approach to Video Registration with Subspace Constraints, International Journal of Computer Vision, vol.104, issue.3, pp.286-314, 2013.

P. Gotardo and A. Martinez, Kernel Non-Rigid Structure from Motion, ICCV, 2011.

N. Haouchine, J. Dequidt, I. Peterlik, E. Kerrien, M. O. Berger et al., Image-guided Simulation of Heterogeneous Tissue Deformation for Augmented Reality during Hepatic Surgery, ISMAR, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00842855

N. Haouchine, J. Dequidt, M. O. Berger, and S. Cotin, Single View Augmentation of 3D Elastic Objects, ISMAR, 2014.
DOI : 10.1109/ismar.2014.6948432

URL : https://hal.archives-ouvertes.fr/hal-01056323

N. Haouchine, F. Roy, L. Untereiner, and S. Cotin, Using Contours as Boundary Conditions for Elastic Registration During Minimally Invasive Hepatic Surgery, IROS, 2016.
DOI : 10.1109/iros.2016.7759099

URL : https://hal.archives-ouvertes.fr/hal-01353185

R. I. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, p.521623049, 2000.

D. Henrion and J. B. Lasserre, Gloptipoly: Global optimization over polynomials with matlab and sedumi, ACM Transactions on Mathematical Software (TOMS), vol.29, issue.2, pp.165-194, 2003.
DOI : 10.1109/cdc.2002.1184595

URL : http://www.mat.univie.ac.at/~neum/glopt/mss/HenL02.pdf

B. K. Horn, H. M. Hilden, and S. Negahdaripour, Closed-Form Solution of Absolute Orientation Using Orthonormal Matrices, Journal of the Optical Society of America A, vol.5, issue.7, pp.1127-1135, 1988.
DOI : 10.1364/josaa.5.001127

URL : http://www.cvl.iis.u-tokyo.ac.jp/~oishi/Papers/Alignment/Horn_Closed-form_JOSA1987.pdf

M. Innmann, M. Zollhöfer, M. Nießner, C. Theobalt, and M. Stamminger, VolumeDeform: Real-Time Volumetric Non-rigid Reconstruction, ECCV, 2016.
DOI : 10.1007/978-3-319-46484-8_22

URL : http://arxiv.org/pdf/1603.08161

A. Kock, Synthetic Geometry of Manifolds, 2010.
DOI : 10.1017/cbo9780511691690

URL : http://home.imf.au.dk/kock/SGM-kopi.pdf

B. Koo, E. Ozgür, B. L. Roy, E. Buc, and A. Bartoli, Deformable Registration of a Preoperative 3D Liver Volume to a Laparoscopy Image using Contour and Shading Cues, MICCAI, 2017.

J. Lee, Riemannian Manifolds : An Introduction to Curvature, pp.0-387, 1997.

J. Lee, Introduction to Smooth Manifolds, pp.0-387, 2003.
DOI : 10.1007/978-1-4419-9982-5

C. Liu, J. Yuen, and A. Torralba, SIFT Flow: Dense Correspondence Across Scenes and Its Applications, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.33, issue.5, pp.978-994, 2011.
DOI : 10.1007/978-3-319-23048-1_2

URL : http://dspace.mit.edu/bitstream/1721.1/54787/1/MIT-CSAIL-TR-2010-024.pdf

Q. Liu-yin, R. Yu, L. Agapito, A. Fitzgibbon, and C. Russell, Better Together: Joint Reasoning for Non-rigid 3D Reconstruction with Specularities and Shading, BMVC, 2016.
DOI : 10.5244/c.30.42

URL : http://www.bmva.org/bmvc/2016/papers/paper042/abstract042.pdf

D. G. Lowe, Distinctive Image Features from Scale-Invariant Keypoints, International Journal of Computer Vision, vol.60, issue.2, pp.91-110, 2004.
DOI : 10.1023/b:visi.0000029664.99615.94

URL : http://www.cs.ubc.ca/~lowe/papers/ijcv03.ps

L. Maier-hein, A. Groch, A. Bartoli, S. Bodenstedt, G. Boissonnat et al., Comparative Validation of Single-shot Optical Techniques for Laparoscopic 3-D Surface Reconstruction, IEEE Transactions on Medical Imaging, vol.33, issue.10, pp.1913-1930, 2014.
DOI : 10.1109/tmi.2014.2325607

URL : https://hal.archives-ouvertes.fr/hal-01213477

E. Malis and M. Vargas, Deeper understanding of the Homography Decomposition for Visionbased Control, INRIA, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00174036

A. Malti, A. Bartoli, and T. Collins, A Pixel-Based Approach to Template-Based Monocular 3D Reconstruction of Deformable Surfaces, ICCVW, 2011.

A. Malti, R. Hartley, A. Bartoli, and J. Kim, Monocular Template-Based 3D Reconstruction of Extensible Surfaces with Local Linear Elasticity, CVPR, 2013.
DOI : 10.1109/cvpr.2013.200

F. Moreno-noguer, M. Salzmann, V. Lepetit, and P. Fua, Capturing 3D Stretchable Surfaces from Single Images in Closed Form, CVPR, 2009.
DOI : 10.1109/cvpr.2009.5206758

URL : https://digital.csic.es/bitstream/10261/30120/1/Capturing%203D%20stretchable.pdf

T. D. Ngo, S. Park, A. Jorstad, A. Crivellaro, C. D. Yoo et al., Dense Image Registration and Deformable Surface Reconstruction in Presence of Occlusions and Minimal Texture, ICCV, 2015.
DOI : 10.1109/iccv.2015.262

URL : http://arxiv.org/pdf/1503.03429

T. D. Ngo, J. Ostlund, and P. Fua, Template-based Monocular 3D Shape Recovery using
DOI : 10.1109/tpami.2015.2435739

URL : http://arxiv.org/pdf/1503.04643

L. Meshes, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.38, pp.172-187, 2016.

S. I. Olsen and A. Bartoli, Implicit Non-Rigid Structure-from-Motion with Priors, Journal of Mathematical Imaging and Vision, vol.31, issue.2-3, pp.233-244, 2008.
DOI : 10.1007/s10851-007-0060-3

URL : https://hal.archives-ouvertes.fr/hal-00344559

B. O'neill, Elementary Differential Geometry, 2006.

J. Ostlund, A. Varol, T. D. Ngo, and P. Fua, Laplacian Meshes for Monocular 3D Shape Recovery, ECCV, 2012.

J. Ostlund, T. D. Ngo, and P. Fua, Monocular 3D Shape Recovery using Laplacian Meshes. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2013.

M. Oswald, E. Töppe, and D. Cremers, Fast and Globally Optimal Single View Reconstruction of Curved Objects, CVPR, 2012.
DOI : 10.1109/cvpr.2012.6247718

URL : http://vision.in.tum.de/_media/spezial/bib/oswald_toeppe_cremers_cvpr12.pdf

E. Ozgür and A. Bartoli, Particle-SfT: a Provably-Convergent, Fast Shape-from-Template Algorithm, International Journal of Computer Vision, vol.123, issue.2, pp.184-205, 2016.

S. Parashar, D. Pizarro, A. Bartoli, and T. Collins, As-rigid-as-possible Volumetric Shapefrom-Template, ICCV, 2015.
DOI : 10.1109/iccv.2015.108

S. Parashar, D. Pizarro, and A. Bartoli, Isometric Non-Rigid Shape-From-Motion in Linear Time, CVPR, 2016.
DOI : 10.1109/cvpr.2016.506

URL : https://hal.archives-ouvertes.fr/hal-01657231

M. Perriollat, R. Hartley, and A. Bartoli, Monocular Template-based Reconstruction of Inextensible Surfaces, International Journal of Computer Vision, vol.95, issue.2, pp.124-137, 2011.
DOI : 10.1007/s11263-010-0352-8

URL : https://hal.archives-ouvertes.fr/hal-00344576

. Photoscan, Agisoft Photoscan 1.0.4, 2014.

L. , On NURBS: A Survey, IEEE Computer Graphics and Applications, vol.11, pp.55-71, 1991.

J. Pilet, V. Lepetit, and P. Fua, Real-Time Non-Rigid Surface Detection, CVPR, 2005.

D. Pizarro and A. Bartoli, Feature-based Deformable Surface Detection with Self-occlusion Reasoning, International Journal of Computer Vision, vol.97, issue.1, pp.54-70, 2012.

D. Pizarro, R. Khan, and A. Bartoli, Schwarps: Locally Projective Image Warps Based on 2D

S. Derivatives, International Journal of Computer Vision, vol.119, issue.2, pp.93-109, 2016.

M. Prasad, A. Zisserman, and A. Fitzgibbon, Single View Reconstruction of Curved Surfaces, CVPR, 2006.

T. Rassias and P. Semrl, On the Mazur-Ulam Theorem and the Aleksandrov Problem for

, Unit Distance Preserving Mappings, Proceedings of the American Mathematical Society, vol.118, pp.919-925, 1993.

C. Russell, R. Yu, and L. Agapito, Video Pop-up: Monocular 3D Reconstruction of Dynamic Scenes, ECCV, 2014.

M. Salzmann and P. Fua, Linear Local Models for Monocular Reconstruction of Deformable Surfaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.33, issue.5, pp.931-944, 2011.

M. Salzmann, V. Lepetit, and P. Fua, Deformable Surface Tracking Ambiguities, CVPR, 2007.

T. Sasaki and M. Yoshida, Schwarzian Derivatives and Uniformization, CRM Proc Lecture Notes AMS, issue.672, pp.271-286, 2002.

A. Sheffer, B. Lévy, M. Mogilnitsky, and A. Bogomyakov, ABF++: Fast and Robust Angle Based Flattening, SIGGRAPH, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00105689

L. Smith, D. Nevins, N. T. Dat, and P. Fua, Measuring the Accuracy of Softball Impact Simulations. Sports Engineering, vol.19, issue.4, pp.265-272, 2016.

N. Snavely, S. M. Seitz, and R. Szeliski, Modeling the World from Internet Photo Collections, International Journal of Computer Vision, vol.80, issue.2, pp.189-210, 2007.

O. Sorkine and M. Alexa, As-rigid-as-possible Surface Modeling, Symposium on Geometry Processing, 2007.

N. Sundaram, T. Brox, and K. Keutzer, Dense Point Trajectories by GPU-accelerated Large Displacement Optical Flow, ECCV, 2010.

L. Tao and B. J. Matuszewski, Non-rigid Structure from Motion with Diffusion Maps Prior, CVPR, 2013.

J. Taylor, A. D. Jepson, and K. N. Kutulakos, Non-rigid Structure from Locally-rigid Motion, CVPR, 2010.

L. Torresani, D. B. Yang, E. J. Alexander, and C. Bregler, Tracking and Modeling Non-Rigid Objects with Rank Constraints, CVPR, 2001.

L. Torresani, A. Hertzmann, and C. Bregler, Non-rigid Structure-from-Motion: Estimating Shape and Motion with Hierarchical Priors, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.30, issue.5, pp.878-892, 2008.

A. Varol, M. Salzmann, E. Tola, and P. Fua, Template-free Monocular Reconstruction of Deformable Surfaces, ICCV, 2009.

A. Varol, M. Salzmann, P. Fua, and R. Urtasun, A constrained latent variable model, CVPR, 2012.

A. Varol, A. Shaji, M. Salzmann, and P. Fua, Monocular 3D Reconstruction of Locally Textured Surfaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.34, issue.6, pp.1118-1130, 2012.

S. Vicente and L. Agapito, Soft Inextensibility Constraints for Template-Free Non-rigid Reconstruction, ECCV, 2012.

S. Vicente and L. Agapito, Balloon Shapes: Reconstructing and Deforming Objects with Volume from Images, vol.3, 2013.

X. Wang, M. Salzmann, F. Wang, and J. Zhao, Template-Free 3D Reconstruction of PoorlyTextured Nonrigid Surfaces, ECCV, 2016.

P. Weinzaepfel, J. Revaud, Z. Harchaoui, and C. Schmid, DeepFlow: Large Displacement Optical Flow with Deep Matching, ICCV, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00873592

R. White and D. A. Forsyth, Combining Cues: Shape from Shading and Texture, CVPR, 2006.
DOI : 10.1109/cvpr.2006.79

R. Yu, C. Russell, N. D. Campbell, and L. Agapito, Direct, Dense, and Deformable: Template-Based Non-rigid 3D Reconstruction from RGB Video, ICCV, 2015.
DOI : 10.1109/iccv.2015.111

URL : http://www0.cs.ucl.ac.uk/staff/R.Yu/direct_nrsfm/direct_nrsfm.pdf

S. Zhang, A. Nealen, and D. Metaxas, Skeleton Based As-Rigid-As-Possible Volume Modeling, Eurographics, 2010.

K. Zhou, J. Huang, J. Snyder, X. Liu, H. Bao et al., Large Mesh Deformation using the Volumetric Graph Laplacian, ACM Transactions on Graphics, vol.24, pp.496-503, 2005.
DOI : 10.1145/1186822.1073219

URL : http://www.cs.jhu.edu/~misha/Fall07/Papers/Zhou05.pdf

M. Zollhöfer, E. Sert, G. Greiner, and J. Süßmuth, GPU based ARAP Deformation using Volumetric Lattices, Eurographics, 2012.