. Bibliographie, D. Pierre-alliez, O. Cohen-steiner, B. Devillers, M. Levy et al., Anisotropic polygonal remeshing, SIGGRAPH Proceedings '03), pp.485-493, 2003.

]. B. Bau75 and . Baumgart, A Polyhedron Representation for Computer Vision, Proceedings of AFIPS National Computer Conference, pp.589-596, 1975.

M. Botsch, D. Bommes, and L. Kobbelt, Efficient Linear System Solvers for Mesh Processing, IMA Mathematics of Surfaces XI, 2005.
DOI : 10.1007/11537908_5

M. [. Baudelaire and . Gangnet, Planar maps : An interaction paradigm for graphic design, Proceedings of CHI, pp.313-318, 1989.

I. Boier-martin, H. Rushmeier, and J. Jin, Parameterization of triangle meshes over quadrilateral domains, Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing , SGP '04, pp.197-207, 2004.
DOI : 10.1145/1057432.1057459

]. C. Boo72, . De, and . Boor, On calculating with b-splines, Journal of Approximation Theory, vol.6, pp.50-62, 1972.

D. [. Battke, H. Stalling, and . Hege, Fast Line Integral Convolution for Arbitrary Surfaces in 3D, Visualization and Mathematics, pp.181-195, 1997.
DOI : 10.1007/978-3-642-59195-2_12

. Cgal and . Cgal, Computational Geometry Algorithms Library

Y. [. Chen and . Han, Shortest paths on a polyhedron, Proceedings of the sixth annual symposium on Computational geometry , SCG '90, 1990.
DOI : 10.1145/98524.98601

J. [. Carr and . Hart, Meshed atlases for real-time procedural solid texturing, ACM Transactions on Graphics, vol.21, issue.2
DOI : 10.1145/508357.508360

L. [. Cabral and . Leedom, Imaging vector fields using line integral convolution, Proceedings of the 20th annual conference on Computer graphics and interactive techniques , SIGGRAPH '93, pp.263-272, 1993.
DOI : 10.1145/166117.166151

]. M. Cox72 and . Cox, -Splines, IMA Journal of Applied Mathematics, vol.10, issue.2, pp.134-149, 1972.
DOI : 10.1093/imamat/10.2.134

[. Cohen-steiner and J. Morvan, Restricted delaunay triangulations and normal cycle, Proceedings of the nineteenth conference on Computational geometry , SCG '03, 2003.
DOI : 10.1145/777792.777839

URL : http://www.cs.jhu.edu/%7Emisha/Fall09/Steiner03.pdf

[. Azevedo, Are bilinear quadrilaterals better than linear triangles ?, SIAM J. of Scientific Computing, vol.22, issue.1, pp.198-217, 2000.
DOI : 10.2172/10179134

]. S. Dbg-+-06, P. Dong, M. Bremer, V. Garland, J. C. Pascucci et al., Spectral surface quadrangulation, ACM TOG (SIGGRAPH), 2006.

L. [. Delmarcelle and . Hesselink, The topology of symmetric, second-order tensor fields, Proceedings Visualization '94, pp.140-147, 1994.
DOI : 10.1109/VISUAL.1994.346326

I. [. Dodgson, M. Ivrissimtzis, and . Sabin, Curve and surface fitting, 2003.

S. [. Dong, M. Kircher, and . Garland, Harmonic functions for quadrilateral remeshing of arbitrary manifolds, Computer Aided Geometric Design, vol.22, issue.5, pp.392-423, 2005.
DOI : 10.1016/j.cagd.2005.04.004

E. Mathieu-desbrun, Y. Kanso, and . Tong, Discrete differential forms for computational modeling, ACM SIGGRAPH'06 Course Notes on Discrete Differential Geometry, 2005.

E. Mathieu-desbrun, Y. Kanso, and . Tong, Discrete differential forms for computational modeling, ACM SIGGRAPH'06 Course Notes on Discrete Differential Geometry, 2006.

J. Dichler, K. Maritaud, B. Levy, and D. Chazanfarpour, Texture particles, Computer Graphics Forum, vol.21, issue.3, 2002.
URL : https://hal.archives-ouvertes.fr/inria-00099450

H. [. Eck and . Hoppe, Automatic reconstruction of B-spline surfaces of arbitrary topological type, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques , SIGGRAPH '96, 1996.
DOI : 10.1145/237170.237271

G. Farin, Curves and surfaces for CAGD : a practical guide, 2002.

D. Forsey and R. Bartels, Hierarchical B-spline refinement, Proceedings ACM SIGGRAPH 1988), pp.205-212, 1988.
DOI : 10.1145/378456.378512

S. [. Forssell and . Cohen, Using line integral convolution for flow visualization: curvilinear grids, variable-speed animation, and unsteady flows, IEEE Transactions on Visualization and Computer Graphics, vol.1, issue.2, pp.133-141, 1995.
DOI : 10.1109/2945.468406

K. [. Floater and . Hormann, Surface Parameterization: a Tutorial and Survey
DOI : 10.1007/3-540-26808-1_9

]. M. Flo97 and . Floater, Parametrization and smooth approximation of surface triangulations, Computer Aided Geometric Design, vol.14, issue.3, pp.231-250, 1997.

]. M. Flo03 and . Floater, Mean value coordinates, CAGD, vol.20, pp.19-27, 2003.

]. L. For94 and . Forssell, Visualizing flow over curvilinear grid surfaces using line integral convolution, Proceedings of IEEE Visualization, pp.240-247, 1994.

D. [. Forsey and . Wong, Multiresolution surface reconstruction for hierarchical B-splines, Graphics Interface, pp.57-64, 1998.

X. [. Gotsman, A. Gu, and . Sheffer, Fundamentals of spherical parameterization for 3D meshes, ACM Transactions on Graphics, vol.22, issue.3, pp.358-363, 2003.
DOI : 10.1145/882262.882276

S. Gortler, R. Grzeszczuk, R. Szeliski, and M. Cohen, The lumigraph, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques , SIGGRAPH '96, pp.43-54, 1996.
DOI : 10.1145/237170.237200

C. [. Gortler, D. Gotsman, and . Thurston, Discrete one-forms on meshes and applications to 3D mesh parameterization, Computer Aided Geometric Design, vol.23, issue.2, pp.83-112, 2006.
DOI : 10.1016/j.cagd.2005.05.002

J. [. Grimm and . Hugues, Modeling surfaces of arbitrary topology using manifolds, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, 1995.
DOI : 10.1145/218380.218475

[. Garland and P. S. Heckbert, Surface simplification using quadric error metrics, Proceedings of the 24th annual conference on Computer graphics and interactive techniques , SIGGRAPH '97, pp.31209-216, 1997.
DOI : 10.1145/258734.258849

M. Gangnet, J. Hervé, T. Pudet, and J. Van-thong, Incremental computation of planar maps, ACM SIGGRAPH Computer Graphics, vol.23, issue.3, pp.345-354, 1989.
DOI : 10.1145/74334.74369

J. Goldfeather and V. Interrante, A novel cubic-order algorithm for approximating principal direction vectors, ACM Transactions on Graphics, vol.23, issue.1, pp.45-63, 2004.
DOI : 10.1145/966131.966134

P. [. Grinspun, P. Krysl, and . Schroder, CHARMS, Proceedings of the 29th annual conference on Computer graphics and interactive techniques , SIGGRAPH '02, pp.281-290, 2002.
DOI : 10.1145/566570.566578

R. [. Grabner and . Laramee, Image Space Advection on graphics hardware, Proceedings of the 21st spring conference on Computer graphics , SCCG '05, pp.75-82, 2005.
DOI : 10.1145/1090122.1090136

]. H. Gou71a and . Gouraud, Continuous shading of curved surfaces, IEEE Transactions on Computers, vol.20, pp.623-628, 1971.

H. Gouraud, Computer display of curved surfaces, 1971.

]. G. Gre94 and . Greiner, Variational design and fairing of spline surfaces, Proceedings EuroGraphics 1994), pp.143-154, 1994.

J. [. Guibas and . Stolfi, Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams, Proceedings of the fifteenth annual ACM symposium on Theory of computing , STOC '83, pp.74-123, 1985.
DOI : 10.1145/800061.808751

S. [. Gu and . Yau, Global conformal surface parameterization, Proceedings of Eurographics/ACM SIGGRAPH Symposium on Geometry Processing, pp.127-137, 2003.

]. A. Hat01 and . Hatcher, Algebraic Topology, 2001.

G. [. Hormann and . Greiner, MIPS : An efficient global parametrization method

L. [. Hornung and . Kobbelt, Robust reconstruction of watertight 3d models from non-uniformly sampled point clouds without normal information, EG/ACM Symposium on Geometry Processing, 2006.

H. Hoppe, Progressive meshes Computer Graphics, 30(Annual Conference Series), pp.99-108, 1996.

H. [. Hofer and . Pottmann, Energy-minimizing splines in manifolds, ACM TOG (SIGGRAPH), pp.284-293, 2004.

A. Hertzmann and D. Zorin, Illustrating smooth surfaces, Proceedings of the 27th annual conference on Computer graphics and interactive techniques , SIGGRAPH '00, pp.517-526, 2000.
DOI : 10.1145/344779.345074

URL : http://www.mrl.nyu.edu/publications/illustrating-smooth/hertzmann-zorin.ps.gz

]. V. Int97 and . Interrante, Illustrating surface shape in volume data via principal directiondriven 3D line integral convolution, Proceedings of ACM SIGGRAPH, pp.109-116, 1997.

W. [. Jobard and . Lefer, Creating Evenly-Spaced Streamlines of Arbitrary Density, Proceedings of the Eurographics Workshop. Visualization in Scientific Computing, pp.43-56, 1997.
DOI : 10.1007/978-3-7091-6876-9_5

M. Jin, Y. Wang, X. Gu, and S. Yau, Optimal global conformal surface parameterization for visualization, Proceedings of IEEE Visualization, pp.267-274, 2004.

]. S. Kap99 and . Kapoor, Efficient computation of geodesic shortest paths, Proceedings of ACM Symposium on Theory of Computing, 1999.

M. [. Kazhdan, H. Bolitho, and . Hoppe, Poisson surface reconstruction, EG/ACM Symposium on Geometry Processing, 2006.

]. L. Ket98 and . Kettner, Designing a data structure for polyhedral surfaces, Proceedings of Symposium on Computational Geometry, pp.146-154, 1998.

V. Krishnamurthy and M. Levoy, Fitting smooth surfaces to dense polygon meshes, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques , SIGGRAPH '96, pp.313-324, 1996.
DOI : 10.1145/237170.237270

A. Khodakovsky, N. Litke, and P. Schroder, Globally smooth parameterizations with low distortion, ACM TOG, 2003.

J. [. Kaneva and . O-'rourke, An implementation of chen and han's shortest paths algorithm, Proceedings of Canadian Conference on Computational Geometry, 2000.

J. [. Kimmel and . Sethian, Fast marching methods on triangulated domains Approximate shortest path on a polyhederal surface and its application, Proceedings of National Academy of Sciences, pp.8341-8435801, 1998.

A. [. Kraevoy and . Sheffer, Cross-parameterization and compatible remeshing of 3d models, ACM TOG (SIGGRAPH), vol.23, issue.3, 2004.

[. Levy, Numerical methods for digital geometry processing, Israel Korea Bi-National Conference, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00105590

]. P. Lie94 and . Lienhardt, N-Dimensional Generalized Combinatorial Maps and Cellular Quasi-Manifolds, Journal on Computational Geometry and Applications, vol.4, issue.3, pp.275-324, 1994.

[. Li, B. Levy, and J. Paul, Mesh editing with an embedded network of curves, International Conference on Shape Modeling and Applications 2005 (SMI' 05), 2005.
DOI : 10.1109/SMI.2005.29

URL : https://hal.archives-ouvertes.fr/inria-00105658

M. Levoy, K. Pulli, B. Curless, S. Rusinkiewicz, D. Koller et al., The digital Michelangelo project, Proceedings of the 27th annual conference on Computer graphics and interactive techniques , SIGGRAPH '00, pp.131-144, 2000.
DOI : 10.1145/344779.344849

B. Lévy, S. Petitjean, N. Ray, and J. Maillot, Least squares conformal maps for automatic texture atlas generation, ACM TOG (SIGGRAPH), pp.362-371, 2002.

[. Li, N. Ray, and B. Levy, Automatic and interactive mesh to t-spline conversion, EG/ACM Symposium on Geometry Processing, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00105611

J. [. Laramee, H. Schneider, and . Hauser, Image space based visualization of unsteady flow on surfaces, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, pp.131-138, 2003.
DOI : 10.1109/VISUAL.2003.1250364

W. Li, B. Vallet, N. Ray, and B. Levy, Representing higherorder singularities in vector fields on piecewise linear surfaces, Proceedings Visualization '06), 2006.
URL : https://hal.archives-ouvertes.fr/inria-00105598

]. R. Lvwjh04, J. Laramee, B. Van-wijk, H. Jobard, and . Hauser, ISA and IBFVS : Image space-based visualization of flow on surfaces, IEEE Transactions on Visualization and Computer Graphics, vol.10, issue.6, pp.637-648, 2004.

P. [. Mebarki, O. Alliez, and . Devillers, Farthest point seeding for efficient placement of streamlines, IEEE Visualization, pp.479-486, 2005.

]. W. Mas91 and . Massey, A Basic Course in Algebraic Topology, 1991.

M. J. Milroy, C. Bradley, G. W. Vickers, and D. J. Weir, G1 continuity of B-spline surface patches in reverse engineering, Computer-Aided Design, vol.27, issue.6, pp.471-478, 1995.
DOI : 10.1016/0010-4485(95)00020-R

]. M. Mcg and . Mcguire, The half-edge data structure

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

M. Marinov and L. Kobbelt, Direct anisotropic quad-dominant remeshing, 12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings., pp.207-216, 2004.
DOI : 10.1109/PCCGA.2004.1348351

M. Marinov and L. Kobbelt, Direct anisotropic quad-dominant remeshing, 12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings., pp.207-216, 2004.
DOI : 10.1109/PCCGA.2004.1348351

M. Marinov and L. Kobbelt, Optimization techniques for approximation with subdivision surfaces, ACM Symposium on Solid Modeling and Applications, pp.113-122, 2004.

L. [. Marinov and . Kobbelt, A Robust Two-Step Procedure for Quad-Dominant Remeshing, Computer Graphics Forum, vol.14, issue.1, pp.537-546, 2006.
DOI : 10.1145/6187.6192

J. S. Mitchell, D. M. Mount, and C. H. Paradimitriou, The Discrete Geodesic Problem, SIAM Journal on Computing, vol.16, issue.4, pp.647-668, 1987.
DOI : 10.1137/0216045

M. [. Neyret and . Cani, Pattern-based texturing revisited, Proceedings of the 26th annual conference on Computer graphics and interactive techniques , SIGGRAPH '99, 1999.
DOI : 10.1145/311535.311561

URL : https://hal.archives-ouvertes.fr/inria-00537511

[. Needham, Visual Complex Analysis, 1994.

X. Ni, M. Garland, and J. C. Hart, Fair morse functions for extracting the topological structure of a surface mesh, SIGGRAPH Proceedings '04), pp.613-622, 2004.
DOI : 10.1145/1015706.1015769

]. G. Nie79 and . Nielson, The side-vertex method for interpolation in triangles, Journal of Approximation Theory, vol.25, issue.4, pp.318-336, 1979.

M. [. Ohtake, A. Horikawa, and . Belyaev, Adaptive smoothing tangential direction fields on polygonal surfaces [Pet01] S. Petitjean. A survey of methods for recovering quadrics in triangle meshes, Proceedings of Pacific Graphics, p.189, 2001.
DOI : 10.1109/pccga.2001.962872

A. [. Praun, H. Finkelstein, and . Hoppe, Lapped textures, Proceedings of the 27th annual conference on Computer graphics and interactive techniques , SIGGRAPH '00, pp.465-470, 2000.
DOI : 10.1145/344779.344987

J. Popovic and H. Hoppe, Progressive simplicial complexes, Proceedings of the 24th annual conference on Computer graphics and interactive techniques , SIGGRAPH '97, pp.217-224, 1997.
DOI : 10.1145/258734.258852

E. [. Polthier and . Preuss, Identifying Vector Field Singularities Using a Discrete Hodge Decomposition, Visualization and Mathematics III, pp.113-134, 2002.
DOI : 10.1007/978-3-662-05105-4_6

]. H. Pra97 and . Prautzsch, Freeform splines, Computer Aided Geometric Design, vol.14, issue.14, pp.201-206, 1997.

W. [. Ray, B. Li, A. Levy, P. Sheffer, and . Alliez, Periodic global parameterization, ACM Transactions on Graphics, vol.25, issue.4
DOI : 10.1145/1183287.1183297

URL : https://hal.archives-ouvertes.fr/inria-00104853

P. [. Rezk-salama, T. Hastreiter, T. Christian, and . Ertl, Interactive exploration of volume line integral convolution based on 3D-texture mapping, Proceedings Visualization '99 (Cat. No.99CB37067), pp.233-240, 1999.
DOI : 10.1109/VISUAL.1999.809892

B. [. Ray, W. C. Vallet, B. Li, and . Levy, N-symmetry direction fields on surfaces of arbitrary genus, 2006.

D. L. Sederberg, G. T. Cardon, N. S. Finnigan, J. North, T. Zheng et al., T-spline simplification and local refinement, ACM TOG (SIGGRAPH), 2004.

]. A. Sds01, E. Sheffer, . De-sturler-[-sf05-]-d, A. Steiner, and . Fischer, Parameterization of faceted surfaces for meshing using angle based flattening Planar parameterization for closed manifold genus-g meshes using any type of positive weights, Engineering with Computers Journal of Computing and Information Science in Engineering, vol.17, issue.5, pp.326-337, 2001.

S. [. Sander, J. Gortler, H. Snyder, and . Hoppe, Signal-specialized parametrization, Eurographics Workshop on Rendering, 2002.

H. [. Stalling and . Hege, Fast and resolution independent line integral convolution, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, pp.249-256, 1995.
DOI : 10.1145/218380.218448

J. [. Sheffer and . Hart, Seamster: inconspicuous low-distortion texture seam layout, IEEE Visualization, 2002. VIS 2002., 2002.
DOI : 10.1109/VISUAL.2002.1183787

J. Schreiner, A. Prakash, E. Praun, and H. Hoppe, Inter-surface mapping, ACM TOG (SIGGRAPH), vol.23, issue.3, 2004.

. Ssk-+-05-]-v, T. Surazhsky, D. Surazhsky, S. Kirsanov, H. Gortler et al., Fast exact and approximate geodesic on meshes, ACM TOG (SIGGRAPH), 2005.

T. W. Sederberg, J. Zheng, D. Sewell, and M. Sabin, Non-uniform subdivision surfaces, Proceedings of ACM SIGGRAPH, 1998.

]. G. Tau95 and . Taubin, Estimating the tensor of curvature of a surface from a polyhedral approximation, Proceedings of International Conference on Computer Vision, pp.902-907, 1995.

G. Turk and D. Banks, Image-guided streamline placement, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques , SIGGRAPH '96, pp.453-460, 1996.
DOI : 10.1145/237170.237285

M. Tarini, K. Hormann, P. Cignoni, and C. Montani, Polycube-maps, ACM TOG (SIGGRAPH), 2004.
DOI : 10.1145/1186562.1015810

]. H. The02 and . Theisel, Designing 2D vector fields of arbitrary topology, Proceedings Eurographics 2002), pp.595-604, 2002.

R. Toledo and B. Levy, Extending the graphic pipeline with new gpuaccelerated primitives, 2004.

Y. Tong, S. Lombeyda, A. Hirani, and M. Desbrun, Discrete multiscale vector field decomposition, Proceedings SIGGRAPH '03), pp.445-452, 2003.
DOI : 10.1145/882262.882290

URL : http://www-grail.usc.edu/pubs/TLHD03.pdf

]. X. Tri02 and . Tricoche, Vector and Tensor Topology Simplification, Tracking, and Visualization, 2002.

C. [. Theisel, R. Rossl, H. Zayer, and . Seidel, Normal based estimation of the curvature tensor for triangular meshes, 12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings., pp.288-297, 2004.
DOI : 10.1109/PCCGA.2004.1348359

G. [. Tricoche, H. Scheuermann, and . Hagen, Higher Order Singularities in Piecewise Linear Vector Fields, Proceedings of IMA Conference on the the Mathematics of Surfaces, pp.99-113, 2000.
DOI : 10.1007/978-1-4471-0495-7_7

G. [. Tricoche, H. Scheuermann, and . Hagen, Topology Simplification of Symmetric, Second-Order 2D Tensor Fields, Hierarchical and Geometrical Methods in Scientific Visualization, 2003.
DOI : 10.1007/978-3-662-07443-5_17

G. Turk, Texture synthesis on surfaces, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.347-354, 2001.
DOI : 10.1145/383259.383297

[. Verma, D. T. Kao, A. Pangvw03, and ]. J. Van-wijk, A flow-guided streamline seeding strategy Image based flow visualization for curved surfaces, IEEE Visualization Proceedings of IEEE Visualization, pp.163-170, 2000.

]. A. Wat93 and . Watt, 3D Computer Graphics, 1993.

]. K. Wei85 and . Weiler, Edge-based data structures for solid modeling in curved-surface environments, IEEE CG&AComputer-Aided Design, vol.5, issue.1, pp.21-40, 1985.

L. Wei and M. Levoy, Texture synthesis over arbitrary manifold surfaces, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.355-360, 2001.
DOI : 10.1145/383259.383298

W. Welch and A. Witkin, Free-form shape design using triangulated surfaces, Proceedings of the 21st annual conference on Computer graphics and interactive techniques , SIGGRAPH '94, pp.247-256, 1994.
DOI : 10.1145/192161.192216

. Wang, Y. Weiwei, M. Tong, P. Desbrun, and . Schröder, Edge subdivision schemes and the construction of smooth vector fields, ACM TOG (SIGGRAPH), 2006.

D. [. Ying and . Zorin, A simple manifold-based construction of surfaces of arbitrary smoothness, ACM TOG (SIGGRAPH), 2004.

M. [. Zelinka and . Garland, Jump map-based interactive texture synthesis, ACM Transactions on Graphics, vol.23, issue.4, pp.930-962, 2004.
DOI : 10.1145/1027411.1027413

J. [. Zhang, G. Hays, and . Turk, Interactive design and visualization of tensor fields on surfaces, 2005.

K. [. Zhang, G. Mischaikow, and . Turk, Vector field design on surfaces, ACM Transactions on Graphics, vol.25, issue.4, 2004.
DOI : 10.1145/1183287.1183290

Y. [. Zheng, H. S. Wang, and . Seah, Adaptive T-spline surface fitting to z-map models, Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia , GRAPHITE '05, 2005.
DOI : 10.1145/1101389.1101468