T. Stanko, S. Hahmann, G. Bonneau, and N. Saguin-sprynski, Shape from Sensors: Curve Networks on Surfaces from 3D Orientations, Proc. SMI, Best Paper Award, vol.66, p.53, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01524740

T. Stanko, N. Saguin-sprynski, L. Jouanet, S. Hahmann, and G. ,

. Bonneau, Morphorider: Acquisition and Reconstruction of 3D Curves with Mobile Sensors, Proc. Conf. IEEE Sensors. IEEE, p.53, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01579523

T. Stanko, S. Hahmann, G. Bonneau, and N. Saguin-sprynski, Smooth Interpolation of Curve Networks with Surface Normals, Proc. Eurographics-Short papers, p.105, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01342487

T. Stanko, S. Hahmann, G. Bonneau, and N. Saguin-sprynski, Smooth Interpolation of Curve Networks with Surface Normals
URL : https://hal.archives-ouvertes.fr/hal-01342487

, Proc. GTMG-Journées du Groupe de travail en Modélisation Géométrique, p.105, 2016.

T. Stanko, S. Hahmann, G. Bonneau, and N. Saguin-sprynski, Surfacing Curve Networks with Normal Control, Proc. j?FIGJournées françaises d'informatique graphique, p.105, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01342465

T. Stanko, S. Hahmann, G. Bonneau, and N. Saguin-sprynski, Shape from Sensors: Curve Networks on Surfaces from 3D Orientations". SMI 2017-Shape Modeling International, p.53, 2017.
DOI : 10.1016/j.cag.2017.05.013
URL : https://hal.archives-ouvertes.fr/hal-01524740

, Bibliography For reader's convenience, the bibliography is organized into multiple sections: books, theses, articles, online resources. In the electronic version of this thesis, the colored titles are hyperlinked to their respective electronic version

P. Absil, R. Mahony, and R. Sepulchre, Optimization Algorithms on Matrix Manifolds, p.29, 2008.

M. Berger, A Panoramic View of Riemannian Geometry, p.29, 2003.

M. Botsch, L. Kobbelt, M. Pauly, P. Alliez, and B. Lévy, Polygon Mesh Processing, vol.48, p.41, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00538098

S. Cheng, T. K. Dey, and J. Shewchuk, Delaunay Mesh Generation, vol.169, p.117, 2012.

C. D. Boor, A practical guide to splines, vol.27

Y. Verlag-new, , p.178, 1978.

M. Carmo, Diierential Geometry of Curves and Surfaces, vol.25, p.13, 2016.

M. Carmo, Riemannian Geometry, vol.29, p.25, 1992.

G. Farin, Curves and Surfaces for CAGD: A Practical Guide, vol.53, p.12, 2002.

A. Hatcher, Algebraic Topology, p.38, 2002.

D. Hilbert and S. Cohn-vossen, Geometry and the Imagination, p.25, 1952.

J. Milnor, Topology from the Diierentiable Viewpoint, The University Press of Virginia, p.29, 1965.

S. Smith, Digital Signal Processing: A Practical Guide for Engineers and Scientists, p.65, 2002.

N. , Discrete Curve Fitting on Manifolds, p.29, 2010.

B. Curless, New Methods for Surface Reconstruction from Range Images, 1997.

M. Huard, Modélisation Géométrique et Reconstruction de Formes Equipées de Capteurs d'Orientation, vol.13, p.11, 2013.

A. Jacobson, Algorithms and Interfaces for Real-time Deformation of 2D and 3D Shapes, vol.106, p.47, 2013.

P. Le?kovský, Subdivision Surfaces, p.38, 2002.

A. Pacha, Sensor Fusion for Robust Outdoor Augmented Reality Tracking on Mobile Devices, vol.145, p.14, 2013.

N. Sprynski, Reconstruction de Courbes et de Surfaces à Partir de Données Tangentielles, vol.10, p.13, 2007.

, Articles

F. Abbasinejad, P. Joshi, C. Grimm, N. Amenta, and L. Simons, Surface Patches for 3D Sketching, Proc. Eurographics Workshop on Sketch-Based Interfaces and Modeling (SBIM), vol.109, p.108, 2013.
DOI : 10.1145/2487381.2487387

K. Aberman, O. Katzir, Q. Zhou, Z. Luo, A. Sharf et al., Dip Transform for 3D Shape Reconstruction, Proc. SIGGRAPH, vol.36, p.3, 2017.
DOI : 10.1145/3072959.3073693

P. Absil, C. Baker, and K. Gallivan, Trust-Region Methods on Riemannian Manifolds, Foundations of Computational Mathematics, vol.7, p.74, 2007.
DOI : 10.1007/s10208-005-0179-9

C. Antonya, S. Butnariu, and C. Pozna, Real-time Representation of the Human Spine with Absolute Orientation Sensors, 14th Proc. Int. Conf. on Control, Automation, Robotics and Vision (ICARCV), pp.1-6, 2016.

F. Abbasinejad, P. Joshi, and N. Amenta, Surface Patches from Unorganized Space Curves, Computer Graphics Forum, vol.30, 2011.
DOI : 10.1145/2261250.2261314

, Proc. SGP, vol.109, p.108

J. Andrews, P. Joshi, and N. Carr, A Linear Variational System for Modelling from Curves, Computer Graphics Forum, vol.30, p.53, 2011.
DOI : 10.1111/j.1467-8659.2011.01966.x

R. Arora, R. H. Kazi, F. Anderson, T. Grossman, K. Singh et al., Experimental Evaluation of Sketching on Surfaces in VR, Proc. Conf. Human Factors in Computing Systems (CHI)

N. Boumal and P. Absil, A Discrete Regression Method on Manifolds and its Application to Data on, Proc. World Congress of the Int. Federation of Automatic Control (IFAC), vol.72, p.71, 2011.
DOI : 10.3182/20110828-6-it-1002.00542

A. Bauer, A. Dicko, F. Faure, O. Palombi, and J. Troccaz, Anatomical Mirroring: Real-time User-speciic Anatomy in Motion using a Commodity Depth Camera, Proc. 9th Int. Conf. Motion in Games (MIG), 2016.

S. Bae, R. Balakrishnan, and K. Singh, ILoveSketch: As-NaturalAs-Possible Sketching System for Creating 3D Curve Models, Proc. Symp. User Interface Software and Technology (UIST), vol.108, p.53, 2008.

G. Brunnett and P. Crouch, Elastic Curves on the Sphere, Advances in Computational Mathematics, vol.2, p.71, 1994.
DOI : 10.21236/ada261057

E. Berberich, E. Fogel, D. Halperin, K. Mehlhorn, and R. Wein, Arrangements on Parametric Surfaces I: General Framework and Infrastructure, In: Mathematics in Computer Science, vol.4, issue.1, p.38, 2010.
DOI : 10.1007/s11786-010-0042-5
URL : http://www.mpi-inf.mpg.de/~mehlhorn/ftp/aos.pdf

M. Berger, A. Tagliasacchi, L. Seversky, P. Alliez, J. Levine et al., State of the Art in Surface Reconstruction from Point Clouds, Proc. Eurographics-STAR, p.3, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01017700

M. Bessmeltsev, C. Wang, A. Sheeer, and K. Singh, Designdriven Quadrangulation of Closed 3D Curves, Proc. SIGGRAPH Asia, vol.31, p.108, 2012.
DOI : 10.1145/2366145.2366197
URL : http://www.cs.ubc.ca/nest/imager/tr/2012/Quadrangulation/Design-Driven Quadrangulation.pdf

L. Biard, R. Farouki, and N. Szafran, Construction of Rational Surface Patches Bounded by Lines of Curvature, ComputerAided Geometric Design, vol.27, p.28, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00463845

M. Botsch and L. Kobbelt, An Intuitive Framework for Real-time Freeform Modeling, Proc. SIGGRAPH, vol.23, pp.106-108, 2004.
DOI : 10.1145/1186562.1015772

D. Boltcheva and B. Lévy, Surface Reconstruction by Computing Restricted Voronoi Cells in Parallel, Computer Aided Design, vol.90, p.3, 2017.
DOI : 10.1016/j.cad.2017.05.011
URL : https://hal.archives-ouvertes.fr/hal-01596553

I. Baran, J. Lehtinen, and J. Popovi?, Sketching Clothoid Splines using Shortest Paths, Computer Graphics Forum, vol.29, p.106, 2010.
DOI : 10.1111/j.1467-8659.2009.01635.x
URL : http://people.csail.mit.edu/ibaran/curvesAndSupp.pdf

P. Besl and N. Mckay, A Method for Registration of 3-D Shapes, In: Trans. Pattern Analysis and Machine Intelligence, vol.14, pp.239-256, 1992.

S. Bonnet, C. Bassompierre, C. Godin, S. Lesecq, and A. Barraud, Calibration Methods for Inertial and Magnetic Sensors, Sensors and Actuators A: Physical 156, vol.2, p.143, 2009.
DOI : 10.1016/j.sna.2009.10.008

N. Boumal, B. Mishra, P. Absil, and R. Sepulchre, Manopt, a Matlab Toolbox for Optimization on Manifolds, Journal of Machine Learning Research, vol.15, p.78, 2014.

N. , Interpolation and Regression of Rotation Matrices, Geometric Science of Information, vol.8085, p.35, 2013.

M. Carmona, R. Perrier, L. Jouanet, N. Saguin-sprynski, and O. Delcroix, Morphopipe: Curvature Monitoring of Flexible Risers with MEMS Accelerometers, Proc. IWSHM-10th International Workshop on Structural Health Monitoring, p.9, 2015.

B. Curless and M. Levoy, A Volumetric Method for Building Complex Models from Range Images, Proc. SIGGRAPH 96. Annual Conference Series, p.3, 1996.

J. Crassidis, L. Markley, and Y. Cheng, Survey of Nonlinear Attitude Estimation Methods, Journal of Guidance, Control, and Dynamics, vol.30, p.54, 2007.

Y. Cao, L. Nan, and P. Wonka, Curve Networks for Surface Reconstruction, p.53, 2016.

S. Coons, Surfaces for Computer-Aided Design of Space Forms, p.12, 1967.

F. Cordier, H. Seo, J. Park, and J. Y. Noh, Sketching of MirrorSymmetric Shapes, IEEE Trans. Visualisation and Computer Graphics, vol.17, issue.11, p.108, 2011.

K. Crane, U. Pinkall, and P. Schröder, Robust Fairing via Conformal Curvature Flow, Proc. SIGGRAPH, vol.32, p.55, 2013.

P. Ciarlet and P. Raviart, A Mixed Finite Element Method for the Biharmonic Equation, Proc. Symp. Mathematical Aspects of Finite Elements in PDE, p.108, 1974.

K. Crane, F. De-goes, M. Desbrun, and P. Schr?der, Digital Geometry Processing with Discrete Exterior Calculus, ACM SIGGRAPH 2013 Courses, p.41, 2013.

P. Cignoni, C. Rocchini, and R. Scopigno, Metro: Measuring error on simpliied surfaces, Proc. Eurographics, vol.17

. Wiley-online-library, , p.129, 1998.

B. Curless and S. Seitz, 3D Photography, SIGGRAPH 2000

. Courses, , 2000.

P. Davenport, A Vector Approach to the Algebra of Rotations with Applications, Tech. rep. National Aeronautics and Space Administration (NASA), p.60, 1968.

K. Das, P. Diaz-gutierrez, and M. Gopi, Sketching Free-Form Surfaces Using Network of Curves, Proc. Eurographics Workshop on Sketch-Based Interfaces and Modeling (SBIM), p.108, 2005.

M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr, Implicit Fairing of Irregular Meshes Using Diiusion and Curvature Flow, Proc. SIGGRAPH 99. Annual Conference Series, vol.106, p.41, 1999.
DOI : 10.1145/311535.311576

M. Dou, Fusion4D: Real-time Performance Capture of Challenging Scenes, Proc. SIGGRAPH, vol.35, pp.1-114, 2016.

J. Duchon, Splines Minimizing Rotation-Invariant Semi-Norms in Sobolev Spaces, Constructive Theory of Functions of Several Variables. Proc. of a Conference Held at Oberwolfach, vol.571, p.47, 1976.
DOI : 10.1007/bfb0086566

G. Farin, G. Rein, N. Sapidis, and A. Worsey, Fairing Cubic B-Spline Curves, Computer-Aided Geometric Design, vol.4, p.106, 1987.
DOI : 10.1016/0167-8396(87)90027-6

M. Fiedler, Algebraic Connectivity of Graphs, Czechoslovak Mathematical Journal, vol.23, p.46, 1973.

A. Fondevilla, A. Bousseau, D. Rohmer, S. Hahmann, and M. ,

. Cani, Patterns from photograph: Reverse-engineering developable products, Computers & Graphics, vol.66, p.108, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01525747

J. Giesen and M. John, The Flow Complex: A Data Structure for Geometric Modeling, Computational Geometry, p.109, 2008.
DOI : 10.1016/j.comgeo.2007.01.002
URL : https://doi.org/10.1016/j.comgeo.2007.01.002

E. Grinspun, Y. Gingold, J. Reisman, and D. Zorin, Computing Discrete Shape Operators on General Meshes, Proc. Eurographics, vol.25, p.124, 2006.
DOI : 10.1111/j.1467-8659.2006.00974.x

K. Guo, F. Xu, T. Yu, X. Liu, Q. Dai et al., Real-time Geometry, Albedo and Motion Reconstruction Using a Single RGBD Camera, ACM Trans. Graphics, pp.2-4, 2017.
DOI : 10.1145/3072959.3126786

J. Gregory and J. Zhou, Filling Polygonal Holes with Bicubic Patches, Computer-Aided Geometric Design, vol.11, p.110, 1994.
DOI : 10.1016/0167-8396(94)90205-4
URL : http://bura.brunel.ac.uk/bitstream/2438/2221/1/TR_05_91.pdf

A. Hermanis, R. Cacurs, and M. Greitans, Acceleration and Magnetic Sensor Network for Shape Sensing, IEEE Sensors Journal, vol.16, issue.5, p.16, 2016.
DOI : 10.1109/jsen.2015.2496283

D. Hansford and G. Farin, Curve and Surface Constructions". In: Handbook of Computer-Aided Geometric Design, p.10, 2002.
DOI : 10.1016/b978-044451104-1/50008-3

M. Hofer and H. Pottmann, Energy-Minimizing Splines in Manifolds, Proc. SIGGRAPH, vol.23, p.55, 2004.
DOI : 10.1145/1015706.1015716

T. Hoshi and H. Shinoda, 3D Shape Measuring Sheet Utilizing Gravitational and Geomagnetic Fields, SICE Annual Conference, pp.7-9, 2008.
DOI : 10.1109/sice.2008.4654785

M. Huard, N. Sprynski, N. Szafran, and L. Biard, Reconstruction de Surfaces Développables à Partir de Courbes Géodésiques, Proc. GTMG-Journées du Groupe de travail en Modélisation Géométrique, p.13, 2012.

M. Huard, N. Sprynski, N. Szafran, and L. Biard, Reconstruction of Quasi Developable Surfaces from Ribbon Curves, Numerical Algorithms, vol.63, pp.483-506, 2013.
DOI : 10.1007/s11075-012-9633-3
URL : https://hal.archives-ouvertes.fr/hal-00985177

M. Huard, R. Farouki, N. Sprynski, and L. Biard, C2 Interpolation of Spatial Data subject to Arc-Length Constraints using PythagoreanHodograph Quintic Splines, Graphical Models, vol.76, p.9, 2014.
DOI : 10.1016/j.gmod.2013.10.005
URL : https://hal.archives-ouvertes.fr/hal-00983444

W. Huang, P. Absil, K. Gallivan, and P. Hand, ROPTLIB: an Object-Oriented C++ Library for Optimization on Riemannian Manifolds, p.78, 2016.

K. Ikeuchi, T. Oishi, J. Takamatsu, R. Sagawa, A. Nakazawa et al., The Great Buddha Project: Digitally Archiving, Restoring, and Analyzing Cultural Heritage Objects, In: Int. Journal of Computer Vision, vol.75, issue.2, pp.189-208, 2007.

T. Igarashi, S. Matsuoka, and H. Tanaka, Teddy: A Sketching Interface for 3D Freeform Design, Proc. SIGGRAPH 99. Annual Conference Series, p.53, 1999.

A. Jacobson, E. Tosun, O. Sorkine, and D. Zorin, Mixed Finite Elements for Variational Surface Modeling, Proc. SGP, vol.29, pp.106-108, 2010.

S. Jin, R. R. Lewis, and D. West, A comparison of algorithms for vertex normal computation, The Visual Computer, vol.21, p.113, 2005.

B. Jeuris, R. Vandebril, and B. Vandereycken, A survey and comparison of contemporary algorithms for computing the matrix geometric mean, Electronic Transactions on Numerical Analysis, vol.39, p.65, 2012.

H. Karcher, Riemannian center of mass and molliier smoothing, Communications on pure and applied mathematics, vol.30, p.65, 1977.

M. Kazhdan, M. Bolitho, and H. Hoppe, Poisson Surface Reconstruction, Proc. Symp. Geometry Processing (SGP, pp.61-70, 2006.

M. Kazhdan and H. Hoppe, Screened Poisson Surface Reconstruction, Proc. SIGGRAPH, vol.32, p.3, 2013.

L. Kobbelt, Discrete Fairing, Proc. 7th IMA Conf. on the Mathematics of Surfaces, vol.106, p.48, 1997.

L. Kara and K. Shimada, Sketch-Based 3D-Shape Creation for Industrial Styling Design, IEEE Computer Graphics and Applications, vol.27, p.108, 2007.

L. Lesage, ShapeIt: Développement d'une application de capture et de prétraitement de réseaux de courbes à partir de capteurs d'orientation sur smartphone, vol.147, p.146, 2017.

L. Markley, Y. Cheng, J. Crassidis, and Y. Oshman, Averaging Quaternions, Journal of Guidance, Control, and Dynamics, vol.30, p.54, 2007.

M. Meyer, M. Desbrun, P. Schröder, and A. Barr, Discrete Differential Geometry Operators for Triangulated 2-Manifolds, Visualization and mathematics III, vol.106, p.43, 2003.

S. Madgwick, A. Harrison, and R. Vaidyanathan, Estimation of IMU and MARG Orientation using a Gradient Descent Algorithm, Proc. IEEE Int. Conf. Rehabilitation Robotics (ICORR)

, IEEE, vol.145, p.14, 2011.

B. Milosevic, F. Bertini, E. Farella, and S. Morigi, A SmartPen for 3D Interaction And Sketch-based Surface Modeling, The International Journal of Advanced Manufacturing Technology, vol.84, p.54, 2016.

L. Markley and D. Mortari, Quaternion Attitude Estimation using Vector Observations, The Journal of the Astronautical Sciences, vol.48, p.54, 2000.

H. Moreton and C. Séquin, Surface Design with Minimum Energy Networks, Proc. Symp. Solid Modeling and CAD/CAM Applications, p.105, 1991.

H. Moreton and C. Séquin, Functional Optimization for Fair Surface Design, Proc. SIGGRAPH, vol.26, p.47, 1992.

O. Muratov, Y. Slynko, V. Chernov, M. Lyubimtseva, A. Shamsuarov et al., 3DCapture: 3D Reconstruction for a Smartphone, IEEE Conf. on Computer Vision and Pattern Recognition Workshops (CVPRW), p.3, 2016.

A. Nealen, T. Igarashi, O. Sorkine, and M. Alexa, FiberMesh: Designing Freeform Surfaces with 3D Curves, Proc. SIGGRAPH, vol.26, p.53, 2007.

R. A. Newcombe, A. J. Davison, S. Izadi, P. Kohli, O. Hilliges et al., KinectFusion: Real-time dense surface mapping and tracking, Int. Symp. Mixed and Augmented Reality (ISMAR), vol.2, 2011.
DOI : 10.1109/ismar.2011.6162880
URL : http://www.doc.ic.ac.uk/%7Eajd/Publications/newcombe_etal_ismar2011.pdf

G. Nielson, ?-Quaternion Splines for the Smooth Interpolation of Orientations, IEEE Trans. Visualisation and Computer Graphics, vol.10, p.11, 2004.

G. Nielson, A Method for Interpolating Scattered Data Based Upon a Minimum Norm Network, Mathematics of Computation, vol.40, p.177, 1983.

S. Orts-escolano, Holoportation: Virtual 3D Teleportation in Real-time, Proc. Symp. User Interface Software and Technology (UIST), pp.741-754, 2016.

H. Pan, Y. Liu, A. Sheeer, N. Vining, C. Li et al., FlowAligned Surfacing of Curve Networks, Proc. SIGGRAPH, vol.34, pp.132-135, 2015.

U. Pinkall and K. Polthier, Computing Discrete Minimal Surfaces and Their Conjugates, Experimental Mathematics, vol.2, p.106, 1993.
DOI : 10.1080/10586458.1993.10504266

F. C. Park and B. Ravani, Smooth Invariant Interpolation of Rotations, In: ACM Trans. Graphics, vol.16, issue.3, p.71, 1997.

C. Reinsch, Smoothing by Spline Functions, Numerische Mathematik, vol.10, p.55, 1967.
DOI : 10.1007/bf02162161

C. Rocchini, P. Cignoni, C. Montani, P. Pingi, and R. Scopigno, A Low Cost 3D Scanner Based on Structured Light, Proc. Eurographics, vol.20, pp.299-308, 2001.

K. Rose, A. Sheeer, J. Wither, M. Cani, and B. Thibert, Developable Surfaces from Arbitrary Sketched Boundaries, Proc. Symp. Geometry Processing (SGP), p.108, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00337445

G. Rosman, X. Tai, R. Kimmel, and A. M. Bruckstein, AugmentedLagrangian Regularization of Matrix-Valued Maps, Methods and Applications of Analysis, vol.21, p.54, 2014.

S. Rusinkiewicz, Active 3D scanning methods". COS 429-Computer Vision course at Princeton University, 2016.

N. Saguin-sprynski, L. Jouanet, B. Lacolle, and L. Biard, Surfaces Reconstruction via Inertial Sensors for Monitoring, Proc. EWSHM-7th European Workshop on Structural Health Monitoring, vol.8, p.12, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01020418

N. Saguin-sprynski, M. Carmona, L. Jouanet, and O. Delcroix, New Generation of Flexible Risers Equipped with Motion Capture-Morphopipe System, Proc. EWSHM-8th European Workshop on Structural Health Monitoring, 2016.

R. Schmidt, A. Khan, K. Singh, and G. Kurtenbach, Analytic Drawing of 3D Scaaolds, Proc. SIGGRAPH Asia, vol.28, p.108, 2009.

N. Schertler, M. Tarini, W. Jakob, M. Kazhdan, S. Gumhold et al., Field-Aligned Online Surface Reconstruction, Proc. SIGGRAPH, vol.36, p.3, 2017.
DOI : 10.1145/3072959.3073635

J. Shewchuk, Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator, Proc. Applied Computational Geometry Towards Geometric Engineering. Lecture Notes in Computer Science, p.119, 1996.

K. Shoemake, Animating Rotation with Quaternion Curves, Proc. SIGGRAPH, vol.19, p.11, 1985.

R. Schneider and L. Kobbelt, Geometric Fairing of Irregular Meshes for Free-Form Surface Design, Computer-Aided Geometric Design, vol.18, p.106, 2001.

N. Sprynski, B. Lacolle, and L. Biard, Motion Capture of an Animated Surface via Sensors' Ribbons, Int. Conf. Pervasive and Embedded Computing and Communication Systems (PECCS), vol.14, p.9, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00872491

P. Sloan, W. Martin, A. Gooch, and B. Gooch, The Lit Sphere: A Model for Capturing NPR Shading from Art, Proc. Graphics Interface, p.133, 2001.

N. Sprynski, D. David, B. Lacolle, and L. Biard, Curve Reconstruction via a Ribbon of Sensors, Proc. Int. Conf. Electronics Circuits Systems (ICECS), vol.12, p.9, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00872494

N. Sprynski, B. Lacolle, L. Biard, and D. David, Curve and Surface Reconstruction via Tangential Information, Curve and Surface Design. Int. Conf. Curves and Surfaces, p.9, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00872487

N. Sprynski, N. Szafran, B. Lacolle, and L. Biard, Surface Reconstruction via Geodesic Interpolation, Computer Aided Design, vol.40, issue.4, pp.480-492, 2008.
DOI : 10.1016/j.cad.2008.01.005
URL : https://hal.archives-ouvertes.fr/hal-00317071

B. Sadri and K. Singh, Flow-Complex-Based Shape Reconstruction from 3D Curves, In: ACM Trans. Graphics, vol.33, p.108, 2014.
DOI : 10.1145/2560328
URL : http://www.cs.toronto.edu/~sadri/resources/curve-net-reconstruction.pdf

J. Sullivan-;-a, J. Bobenko, P. Sullivan, G. Schröder, and . Ziegler, Curvatures of Smooth and Discrete Surfaces, Discrete Diierential Geometry, vol.38, p.122, 2008.

S. Schaefer, J. Warren, and D. Zorin, Lofting Curve Networks Using Subdivision Surfaces, Proc. Symp. Geometry Processing (SGP), pp.108-110, 2004.
DOI : 10.1145/1057432.1057447
URL : http://www.cs.rice.edu/~sschaefe/research/lofting.ps.gz

P. Tanskanen, K. Kolev, L. Meier, F. Camposeco, O. Saurer et al., Live Metric 3D Reconstruction on Mobile Phones, IEEE Int. Conf. on Computer Vision. IEEE, 2013.
DOI : 10.1109/iccv.2013.15

G. Taubin, A Signal Processing Approach to Fair Surface Design, Proc. SIGGRAPH 95. Annual Conference Series, vol.106, p.46, 1995.
DOI : 10.1145/218380.218473
URL : http://mesh.caltech.edu/ee148/refs/Taubin-sg95.pdf

A. Tkach, A. Tagliasacchi, E. Remelli, M. Pauly, and A. Fitzgibbon, Online Generative Model Personalization for Hand Tracking, Proc. SIGGRAPH Asia, vol.36, 2017.
DOI : 10.1145/3130800.3130830

G. Turk and M. Levoy, Zippered Polygon Meshes from Range Images, Proc. SIGGRAPH 94. Annual Conference Series, p.3, 1994.
DOI : 10.1145/192161.192241

T. Várady, G. Salvi, and . Karikó, A Multi-sided Bézier Patch with a Simple Control Structure, Proc. Eurographics, vol.35, p.110, 2016.

G. Wahba, A Least Squares Estimate of Satellite Attitude, SIAM Review, vol.7, p.59, 1965.
DOI : 10.1137/1007077

W. Wang, B. Jüttler, D. Zheng, and Y. Liu, Computation of Rotation Minimizing Frames, ACM Trans. Graphics, vol.27, issue.2, p.28, 2008.
DOI : 10.1145/1330511.1330513
URL : http://i.cs.hku.hk/~gfxgroup/publications/RMF_rev.pdf

M. Wimmer, Computational Aspects of Digital FabricationModule 3 (Scanning & Acquisition Pipeline, 2016.

B. Xu, W. Chang, A. Sheeer, A. Bousseau, J. Mccrae et al., True2Form: 3D Curve Networks from 2D Sketches via Selective Regularization, Proc. SIGGRAPH, vol.33, p.53, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01060850

Y. Zhuang, M. Zou, N. Carr, and T. Ju, A General and EEcient Method for Finding Cycles in 3D Curve Networks, Proc. SIGGRAPH Asia, vol.32, p.115, 2013.
DOI : 10.1145/2508363.2508423
URL : http://www1.cse.wustl.edu/~taoju/research/cyclediscovery.pdf

M. Zou, T. Ju, and N. Carr, An Algorithm for Triangulating Multiple 3D Polygons, Computer Graphics Forum, vol.32, 2013.
DOI : 10.1111/cgf.12182
URL : http://www.cse.wustl.edu/~taoju/research/triangulate_final.pdf

, Proc. SGP, vol.119, p.109

, Online

A. European-space, Gravity Field and Ocean Circulation Explorer (GOCE, p.6

. T. Google and . Brush, , vol.54, p.53

, Grasshopper-algorithmic modeling for Rhino, p.141

. Instrumments, The 01 dimensioning instrument, p.54

M. Levoy, The Digital Michelangelo Project. Last update, issue.2, 2003.

A. Jacobson and D. Panozzo, A Simple C++ Geometry Processing Library, p.135, 2017.

, Online 201

S. Maus, Geomagnetism: Historical Main Field Change and Declination, 2010.

. Morphosense, , p.1

M. Nair, Wandering of the Geomagnetic Poles, 2006.

. Sparkfun, , vol.9

M. Levoy, The Stanford 3D Scanning Repository, 2014.

G. Taubin, The IBM Pieta Project: A Historical Perspective, 2008.