P. Alliez, M. Meyer, and M. Desbrun, Interactive geometry remeshing, Proceedings of SIGGRAPH'02, pp.347-354, 2002.

N. Amenta and M. Bern, Surface Reconstruction by Voronoi Filtering, Discrete & Computational Geometry, vol.22, issue.4, pp.481-504, 1999.
DOI : 10.1007/PL00009475

R. Barnhill, G. Farin, and Q. Chen, Constant-Radius Blending of Parametric Surfaces, pp.1-20, 1993.
DOI : 10.1007/978-3-7091-6916-2_1

F. Bernardini, J. Mittleman, H. Rushmeier, C. Silva, and G. Taubin, The ball-pivoting algorithm for surface reconstruction, IEEE Transactions on Visualization and Computer Graphics, vol.5, issue.4, pp.349-359, 1999.
DOI : 10.1109/2945.817351

H. Biermann, D. Kristjansson, and D. Zorin, Approximate Boolean operations on free-form solids, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.185-194, 2001.
DOI : 10.1145/383259.383280
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.9.9989

M. Botsch and L. Kobbelt, Resampling Feature and Blend Regions in Polygonal Meshes for Surface Anti-Aliasing, Proceedings of Eurographics'01, pp.402-410, 2001.
DOI : 10.1111/1467-8659.00533

B. Choi and S. Ju, Constant-radius blending in surface modelling, Computer-Aided Design, vol.21, issue.4, pp.213-220, 1989.
DOI : 10.1016/0010-4485(89)90046-8

U. Clarenz, U. Diewald, and M. Rumpf, Anisotropic geometric diffusion in surface processing, Proceedings Visualization 2000. VIS 2000 (Cat. No.00CH37145), pp.397-405, 2000.
DOI : 10.1109/VISUAL.2000.885721

M. Desbrun, M. Meyer, P. Schröder, and A. Barr, Implicit fairing of irregular meshes using diffusion and curvature flow, Proceedings of the 26th annual conference on Computer graphics and interactive techniques , SIGGRAPH '99, pp.317-324, 1999.
DOI : 10.1145/311535.311576

M. Desbrun, M. Meyer, P. Schröder, and A. Barr, Anisotropic feature-preserving denoising of height fields and bivariate data, Proceedings of Graphics Interface, pp.145-152, 2000.

M. Desbrun, M. Meyer, and P. Alliez, Intrinsic Parameterizations of Surface Meshes, Computer Graphics Forum, vol.72, issue.1, pp.209-218, 2002.
DOI : 10.1111/1467-8659.00580

M. Floater, Parametrization and smooth approximation of surface triangulations, Computer Aided Geometric Design, vol.14, issue.3, pp.231-250, 1997.
DOI : 10.1016/S0167-8396(96)00031-3

M. Floater, Mean value coordinates, Computer Aided Geometric Design, vol.20, issue.1, pp.19-27, 2003.
DOI : 10.1016/S0167-8396(03)00002-5

I. Guskov, W. Sweldens, and P. Schröder, Multiresolution signal processing for meshes, Proceedings of the 26th annual conference on Computer graphics and interactive techniques , SIGGRAPH '99, pp.325-334, 1999.
DOI : 10.1145/311535.311577
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.40.4419

E. Hartmann, Parametric G n blending of curves and surfaces, The Visual Computer, vol.17, issue.1, pp.1-13, 2001.
DOI : 10.1007/PL00013398

T. Hermann, Rolling ball blends and self-intersections, Curves and Surfaces in Computer Vision and Graphics III SPIE, pp.204-209, 1992.
DOI : 10.1117/12.131744

T. Jones, F. Durand, and M. Desbrun, Non-iterative, feature-preserving mesh smoothing, Proceedings of SIGGRAPH'03, pp.943-949, 2003.
DOI : 10.1145/1201775.882367
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.73

L. Kobbelt and M. Botsch, An Interactive Approach to Point Cloud Triangulation, Proceedings of Eurographics'00, pp.479-487, 2000.
DOI : 10.1111/1467-8659.00440

A. Levin, Combined subdivision schemes for the design of surfaces satisfying boundary conditions, Computer Aided Geometric Design, vol.16, issue.5, pp.345-354, 1999.
DOI : 10.1016/S0167-8396(98)00051-X

B. Lévy, Dual domain extrapolation, Proceedings of SIGGRAPH'03, pp.364-369, 2003.

G. Lukács, Differential geometry of G1 variable radius rolling ball blend surfaces, Computer Aided Geometric Design, vol.15, issue.6, pp.585-613, 1997.
DOI : 10.1016/S0167-8396(98)00006-5

T. Maekawa, An overview of offset curves and surfaces, Computer-Aided Design, vol.31, issue.3, pp.165-173, 1999.
DOI : 10.1016/S0010-4485(99)00013-5

T. Möller, A Fast Triangle-Triangle Intersection Test, Journal of Graphics Tools, vol.1, issue.2, pp.25-30, 1997.
DOI : 10.1080/10867651.1997.10487472

K. Museth, D. Breen, R. Whitaker, and A. Barr, Level set surface editing operators, Proceedings of SIGGRAPH'02, pp.330-338, 2002.
DOI : 10.1145/566570.566585
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.674.5626

M. Nomura and N. Hamada, <title>Feature edge extraction from 3D triangular meshes using a thinning algorithm</title>, Vision Geometry X, pp.34-41, 2001.
DOI : 10.1117/12.447285

Y. Ohtake, A. Belyaev, and I. Bogaevski, Mesh regularization and adaptive smoothing, Computer-Aided Design, vol.33, issue.11, pp.789-800, 2001.
DOI : 10.1016/S0010-4485(01)00095-1

O. Park, H. Kim, K. Lee, and S. , A method for approximate NURBS curve compatibility based on multiple curve refitting, Computer-Aided Design, vol.32, issue.4, pp.237-252, 1994.
DOI : 10.1016/S0010-4485(99)00088-3

L. Piegl and W. Tiller, The NURBS book Constant-radius blending in solid modeling, Proceedings of Computers in Mechanical Engineering, pp.65-73, 1984.

R. Schneider and L. Kobbelt, Geometric fairing of irregular meshes for free-form surface design, Computer Aided Geometric Design, vol.18, issue.4, pp.359-379, 2001.
DOI : 10.1016/S0167-8396(01)00036-X

S. Shlafman, A. Tal, and S. Katz, Metamorphosis of Polyhedral Surfaces using Decomposition, Computer Graphics Forum, vol.16, issue.5, pp.219-228, 2002.
DOI : 10.1111/1467-8659.00581

G. Taubin, A signal processing approach to fair surface design, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, pp.351-358, 1995.
DOI : 10.1145/218380.218473

T. Várady, J. Vida, and R. Martin, Parametric blending in a boundary representation solid modeler The mathematics of surfaces III, pp.171-197, 1989.

J. Vida, R. Martin, and T. Várady, A survey of blending methods that use parametric surfaces, Computer-Aided Design, vol.26, issue.5, pp.341-365, 1994.
DOI : 10.1016/0010-4485(94)90023-X

T. Wu and Y. Zhou, On blending of several quadratic algebraic surfaces, Computer Aided Geometric Design, vol.17, issue.8, pp.759-766, 2000.
DOI : 10.1016/S0167-8396(00)00023-6

Y. Yu, K. Zhou, D. Xu, X. Shi, H. Bao et al., Mesh editing with poisson-based gradient field manipulation, Proceedings of SIGGRAPH'04, pp.644-651, 2004.
DOI : 10.1145/1186562.1015774
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.3729

Y. Liu and . Ph, D. student in the Department of Computer Science and Technology at Tsinghua University, China. He received his B.Sc. in mathematics from Jilin University of China His research interests are computer-aided design and computer graphics, 2000.
URL : https://hal.archives-ouvertes.fr/in2p3-00367140

J. Yong, He received his B.Sc. and Ph.D. in computer science from Tsinghua University, China, in 1996 and 2001, respectively. He held a visiting researcher position in the Department of Computer Science at Hong Kong University of Science and Technology in 2000. He was a postdoctoral fellow in the, His research interests include computeraided design, computer graphics, computer animation , and software engineering, 2000.