C. Andújar, P. Brunet, and D. Ayala, Topology-reducing surface simplification using a discrete solid representation, ACM Transactions on Graphics, vol.21, issue.2, pp.88-105, 2002.
DOI : 10.1145/508357.508359

C. Andújar, P. Brunet, A. Chica, I. Navazo, J. Rossignac et al., Optimizing the topological and combinatorial complexity of isosurfaces, Computer-Aided Design, vol.37, issue.8, pp.847-857, 2005.
DOI : 10.1016/j.cad.2004.09.013

C. Andújar, P. Brunet, M. Fairen, and V. Cebollada, Error-Bounded Simplification of Topologically-Complex Assemblies, pp.355-366, 2003.

M. Attene and B. Falcidieno, ReMESH: An Interactive Environment to Edit and Repair Triangle Meshes, IEEE International Conference on Shape Modeling and Applications 2006 (SMI'06), pp.271-276
DOI : 10.1109/SMI.2006.29

M. Attene, A lightweight approach to repairing digitized polygon meshes. The Visual, Computer, vol.26, 2010.

G. Barequet, C. Duncan, and S. Kumar, RSVP: a geometric toolkit for controlled repair of solid models, IEEE Transactions on Visualization and Computer Graphics, vol.4, issue.2, pp.162-177, 1998.
DOI : 10.1109/2945.694983

S. Bischoff and L. Kobbelt, Isosurface reconstruction with topology control, 10th Pacific Conference on Computer Graphics and Applications, 2002. Proceedings., pp.246-255, 2002.
DOI : 10.1109/PCCGA.2002.1167868

S. Bischoff and L. Kobbelt, Structure Preserving CAD Model Repair, Computer Graphics Forum, vol.18, issue.2, pp.527-536, 2005.
DOI : 10.1111/j.1467-8659.2005.00878.x

S. Bischoff, D. Pavic, and L. Kobbelt, Automatic restoration of polygon models, ACM Transactions on Graphics, vol.24, issue.4, pp.1332-1352, 2005.
DOI : 10.1145/1095878.1095883

P. Borodin, M. Novotni, and R. Klein, Progressive gap closing for mesh repairing Advances in Modelling, Animation and Rendering, pp.201-213, 2002.

M. Botsch, M. Pauly, L. Kobbelt, P. Alliez, B. Levy et al., Geometric modeling based on polygonal meshes, ACM SIGGRAPH 2007 courses on, SIGGRAPH '07
DOI : 10.1145/1281500.1281640
URL : https://hal.archives-ouvertes.fr/inria-00337991

M. Campen and L. Kobbelt, Exact and Robust (Self-)Intersections for Polygonal Meshes, Computer Graphics Forum, vol.28, issue.3, 2010.
DOI : 10.1111/j.1467-8659.2009.01609.x

E. Chernyaev, Marching Cubes 33: construction of topologically correct isosurfaces, 1995.

T. Cormen, C. Leiserson, R. Rivest, and C. Stein, Introduction to algorithms, 2001.

J. Davis, S. Marschner, M. Garr, and M. Levoy, Filling holes in complex surfaces using volumetric diffusion, Proceedings. First International Symposium on 3D Data Processing Visualization and Transmission, pp.428-438, 2002.
DOI : 10.1109/TDPVT.2002.1024098

T. Dey and S. Guha, Computing homology groups of simplicial complexes in R3, Journal of the ACM, vol.45, issue.2, pp.266-287, 1998.
DOI : 10.1145/274787.274810

E. Eisemann and X. Décoret, Single-pass GPU solid voxelization for real-time applications, Proceedings of Graphics Interface, pp.73-80, 2008.

E. Sana, J. Varshney, and A. , Topology simplification for polygonal virtual environments, IEEE Transactions on Visualization and Computer Graphics, vol.4, issue.2, pp.133-144, 1998.
DOI : 10.1109/2945.694955

J. Esteve, P. Brunet, and A. Vinacuà, Approximation of a Variable Density Cloud of Points by Shrinking a Discrete Membrane, Computer Graphics Forum, vol.21, issue.4, pp.791-807, 2005.
DOI : 10.1111/1467-8659.00474

S. Fleishman, I. Drori, and D. Cohen-or, Bilateral mesh denoising, ACM Transactions on Graphics, vol.22, issue.3, pp.950-953, 2003.
DOI : 10.1145/882262.882368
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.3578

J. Friedman, Computing Betti Numbers via Combinatorial Laplacians, Algorithmica, vol.21, issue.4, pp.331-346, 1998.
DOI : 10.1007/PL00009218
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.527.4556

A. Guéziec, G. Taubin, L. F. Horn, and W. , Cutting and stitching: converting sets of polygons to manifold surfaces, IEEE Transactions on Visualization and Computer Graphics, vol.7, issue.2, pp.136-151, 2001.
DOI : 10.1109/2945.928166

I. Guskov and Z. Wood, Topological noise removal, Proceedings of Graphics Interface, pp.19-26, 2001.

D. Haumont and N. Warzée, Complete Polygonal Scene Voxelization, Journal of Graphics Tools, vol.4, issue.4, pp.27-41, 2002.
DOI : 10.1080/10867651.2002.10487563

T. Ju, Robust repair of polygonal models, ACM Transactions on Graphics, vol.23, issue.3, pp.888-895, 2004.
DOI : 10.1145/1015706.1015815

T. Ju, Fixing Geometric Errors on Polygonal Models: A Survey, Journal of Computer Science and Technology, vol.26, issue.3, pp.19-29, 2009.
DOI : 10.1007/s11390-009-9206-7

T. Ju, Q. Zhou, and S. Hu, Editing the topology of 3D models by sketching, ACM Transactions on Graphics, vol.26, issue.3, p.42, 2007.
DOI : 10.1145/1276377.1276430

N. Kriegeskorte and R. Goebel, An Efficient Algorithm for Topologically Correct Segmentation of the Cortical Sheet in Anatomical MR Volumes, NeuroImage, vol.14, issue.2, pp.329-346, 2001.
DOI : 10.1006/nimg.2001.0831

H. Lai and J. Lai, A partial mesh replacement technique for design modification in rapid prototyping, Computers & Industrial Engineering, vol.58, issue.3, 2009.
DOI : 10.1016/j.cie.2009.11.007

C. Lee, T. Poston, and A. Rosenfeld, Holes and Genus of 2D and 3D Digital Images, CVGIP: Graphical Models and Image Processing, vol.55, issue.1, pp.20-47, 1993.
DOI : 10.1006/cgip.1993.1002

X. Li, C. Han, and W. Wee, On surface reconstruction: A priority driven approach, Computer-Aided Design, vol.41, issue.9, pp.626-640, 2009.
DOI : 10.1016/j.cad.2009.04.006

P. Liepa, Filling holes in meshes, Proceedings of the Eurographics, pp.200-205, 2003.

W. Lorensen and H. Cline, Marching cubes: A high resolution 3D surface construction algorithm, ACM SIGGRAPH Computer Graphics, vol.21, issue.4, pp.163-170, 1987.
DOI : 10.1145/37402.37422

T. Murali and T. Funkhouser, Consistent solid and boundary representations from arbitrary polygonal data, Proceedings of the 1997 symposium on Interactive 3D graphics , SI3D '97, pp.155-162, 1997.
DOI : 10.1145/253284.253326
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.163.7621

F. Nooruddin and G. Turk, Simplification and repair of polygonal models using volumetric techniques, IEEE Transactions on Visualization and Computer Graphics, vol.9, issue.2, pp.191-205, 2003.
DOI : 10.1109/TVCG.2003.1196006

M. Pauly, N. Mitra, J. Wallner, H. Pottmann, and L. Guibas, Discovering structural regularity in 3D geometry, ACM Transactions on Graphics (SIGGRAPH Proceedings), vol.27, issue.3, 2008.

J. Podolak and S. Rusinkiewicz, Atomic volumes for mesh completion, Proceedings of the Eurographics, pp.33-42, 2005.

C. Rocchini, P. Cignoni, F. Ganovelli, C. Montani, P. Pingi et al., The Marching Intersections algorithm for merging range images, The Visual Computer, vol.20, issue.2-3, pp.149-164, 2004.
DOI : 10.1007/s00371-003-0237-8

J. Rossignac and D. Cardoze, Matchmaker, Proceedings of the fifth ACM symposium on Solid modeling and applications , SMA '99, pp.31-41, 1999.
DOI : 10.1145/304012.304016

A. Sharf, A. M. Cohen-or, and D. , Context-based surface completion, ACM Transactions on Graphics, vol.23, issue.3, pp.878-887, 2004.
DOI : 10.1145/1015706.1015814
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.411.369

J. Verdera, V. Caselles, M. Bertalmío, and G. Sapiro, Inpainting surface holes, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429), pp.903-909, 2003.
DOI : 10.1109/ICIP.2003.1246828
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.2884

Z. Wood, H. Hoppe, M. Desbrun, and P. Schröder, Removing excess topology from isosurfaces, ACM Transactions on Graphics, vol.23, issue.2, pp.190-208, 2004.
DOI : 10.1145/990002.990007
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1032.8661

A. Zaharescu, E. Boyer, and R. Horaud, TransforMesh : A Topology-Adaptive Mesh-Based Approach to Surface Evolution, Proceedings of the Asian Conference on Computer Vision, pp.166-175, 2007.
DOI : 10.1007/978-3-540-76390-1_17
URL : https://hal.archives-ouvertes.fr/inria-00590245

Q. Zhou, T. Ju, and S. Hu, Topology Repair of Solid Models Using Skeletons, IEEE Transactions on Visualization and Computer Graphics, vol.13, issue.4, pp.675-685, 2007.
DOI : 10.1109/TVCG.2007.1015