N. Amenta, M. Bern, and M. Kamvysselis, A new Voronoi-based surface reconstruction algorithm, Proceedings of the 25th annual conference on Computer graphics and interactive techniques , SIGGRAPH '98, pp.415-412, 1998.
DOI : 10.1145/280814.280947

N. Amenta, S. Choi, T. K. Dey, and N. Leekha, A simple algorithm for homeomorphic surface reconstruction, Proc. 16th Annu. ACM Sympos, pp.213-222, 2000.

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

N. Amenta and R. K. Kolluri, Accurate and efficient unions of balls, Proceedings of the sixteenth annual symposium on Computational geometry , SCG '00, pp.119-128, 2000.
DOI : 10.1145/336154.336193

D. Attali and J. Boissonnat, Complexity of the Delaunay Triangulation of Points on Polyhedral Surfaces, Discrete and Computational Geometry, vol.30, issue.3, 2001.
DOI : 10.1007/s00454-003-2824-x

URL : https://hal.archives-ouvertes.fr/inria-00072355

F. Bernardini, C. L. Bajaj, J. Chen, and D. R. Schikore, AUTOMATIC RECONSTRUCTION OF 3D CAD MODELS FROM DIGITAL SCANS, International Journal of Computational Geometry & Applications, vol.09, issue.04n05, pp.327-369, 1999.
DOI : 10.1142/S0218195999000236

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

J. D. Boissonnat, Geometric structures for three-dimensional shape representation, ACM Transactions on Graphics, vol.3, issue.4, pp.266-286, 1984.
DOI : 10.1145/357346.357349

J. Boissonnat and F. Cazals, Smooth surface reconstruction via natural neighbour interpolation of distance functions, Proc. 16th Annu. ACM Sympos, pp.223-232, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00072662

J. Boissonnat and F. Cazals, Natural neighbour coordinates of points on a surface, Computational Geometry -Theory and Application, vol.19, issue.2-3, pp.87-220, 2001.
URL : https://hal.archives-ouvertes.fr/inria-00072626

J. Boissonnat and M. Yvinec, Algorithmic Geometry, 1998.
DOI : 10.1017/CBO9781139172998

T. M. Chan, J. Snoeyink, and C. K. Yap, Primal Dividing and Dual Pruning: Output-Sensitive Construction of Four-Dimensional Polytopes and Three-Dimensional Voronoi Diagrams, Discrete & Computational Geometry, vol.18, issue.4, pp.433-454, 1997.
DOI : 10.1007/PL00009327

L. P. Chew, Guaranteed-quality mesh generation for curved surfaces, Proceedings of the ninth annual symposium on Computational geometry , SCG '93, pp.274-280, 1993.
DOI : 10.1145/160985.161150

S. Choi and N. Amenta, Delaunay triangulation programs on surface data, Proc. of 13th ACM-SIAM Symposium on Discrete Algorithms, 2002.

R. A. Dwyer, Higher-dimensional voronoi diagrams in linear expected time, Discrete & Computational Geometry, vol.43, issue.3, pp.343-367, 1991.
DOI : 10.1007/BF02574694

R. A. Dwyer, The expected number of k-faces of a Voronoi diagram, Computers & Mathematics with Applications, vol.26, issue.5, pp.13-21, 1993.
DOI : 10.1016/0898-1221(93)90068-7

H. Edelsbrunner, Deformable Smooth Surface Design, Discrete & Computational Geometry, vol.21, issue.1, pp.87-115, 1999.
DOI : 10.1007/PL00009412

J. Erickson, Nice point sets can have nasty Delaunay triangulations, Proc. 17th Annu. ACM Sympos, pp.96-105, 2001.

J. Erickson, Dense point sets have sparse delaunay triangulations, Proc. of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms, 2002.

J. Mordecai, H. Golin, and . Na, On the average complexity of 3d-voronoi diagrams of random points on convex polytopes, Proc. 12th Canad. Conf, 2000.

H. Mordecai and J. Golin, The probabilistic complexity of the voronoi diagram of points on a polyhedron, Proc. ACM Sym. on Computational Geometry, 2002.

D. J. Sheehy, C. G. Armstrond, and D. J. Robinson, Computing the medial surface of a solid from a domain Delaunay triangulation, Proceedings of the third ACM symposium on Solid modeling and applications , SMA '95, pp.201-212, 1995.
DOI : 10.1145/218013.218062

A. Thall, S. Pizer, and T. Fletcher, Deformable solid modeling using sampled medial surfaces: A multiscale approach, 2000.

I. Unité-de-recherche and . Lorraine, Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l'Europe -38330 Montbonnot-St, Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex

I. De-voluceau-rocquencourt, BP 105 -78153 Le Chesnay Cedex (France) http://www.inria.fr ISSN, pp.249-6399