Geometric surface mesh;Maillage géométrique de surfaces

Revue Europeenne des Elements

Volumn 8, Issue 1, 1999, Pages 47-75

  Borouchaki, Houman ^a   Frey, Pascal Jean ^b  

^a UNIVERSITÉ DE TECHNOLOGIE DE TROYES   (France)

^b INRIA   (France)

Author keywords

Mesh adaption; Mesh optimisation; Mesh simplification; Polyhedral approximation; Surface mesh

Indexed keywords

FINITE ELEMENT METHOD; MESH GENERATION; TRIANGULATION;

MESH ADAPTION; MESH OPTIMISATION; MESH SIMPLIFICATIONS; POLYHEDRAL APPROXIMATION; SURFACE MESH;

GEOMETRY;

EID: 0038686786     PISSN: 12506559     EISSN: None     Source Type: Journal    
DOI: 10.1080/12506559.1999.10511352     Document Type: Article

References (23)

1. H. BoROUCHAKi ET P.L. GEORGE, Maillage des surfaces paramétriques. Partie I: Aspects théoriques, CR. Acad. Sci. Paris, t. 324, Serie I, p. 833-837, 1997.
2. H. BOROUCHAKI, F. HECHT and P.J. FREY, Mesh gradation control, Int. J. Numer. Meth. Engng., vol 43, 1998.
3. P.G. CIARLET, Basic Error Estimates for Elliptic Problems, Handbook of Numerical Analysis, vol II, Finite Elemen Methods (Part 1), p. 17-352, North Holland, 1991.
4. G. FARIN, Triangular Bernstein-Bézier patches, Computer Aided Geometric Design, Vol 3, no 2, p. 83-128, 1986.
5. G. FARIN, Curves ans Surfaces for C.A.G.D., Academic Press, 1988.
6. P.J. FREY ET H. BOROUCHAKI, Qualité des maillages de surfaces, C. R. Acad. Sci. Paris, Série I, p. 925-930, 1997.
7. P.L. GEORGE ET H. BOROUCHAKI, Triangulation de Delaunay et maillage. Applications aux éléments finis, Hermès Paris, 1997.
8. J.A. GREGORY, Smooth interpolation without twist constraints, in Computer Aided Geometric Design, Barnhill and Riesenfeld eds., Academic Press, NY, p. 71-87, 1974.
9. A. GuÉZlEC, Surface simplification inside a tolerance volume, IBM Research Report, RC-20440, 1996.
10. B. HAMANN, Curvature approximation for triangulated surfaces, in Geometric Modelling, Computing Suppl. 8, Farin, Hagen, Noltmeier and Knodel eds., Springer, NY, 1993.
11. B. HAMANN, A data reduction scheme for triangulated surfaces, Comp. Aided Geom. Des., Vol 11, p. 197-214, 1994.
12. H. HOPPE, Progressive Meshes, Proc. Siggraph'96, 1996.
13. A.D. KALVIN and R.H. TAYLOR, Superfaces: polygonal mesh simplification with bounded error, IEEE Comp. Graphics and App., p. 64-77, 1996.
14. W.E. LORENSEN and H.E. CLINE, Marching cubes: a high-resolution 3D surface construction algorithm, Siggraph'87 Conf. Proc, Comp. Graphics, Vol 21, no 4, p. 163-169, 1987.
15. D.L. MARCUM, Unstructured grid generation components for complete systems, Vth Int. Conf. on Grid Generation in Comp. Field Simulations, Mississippi State, USA, 1-5 April 1996.
16. L.A. PIEGL and A.M. RICHARD, Tessellating trimmed NURBS surfaces, Comput.-Aided Des., Vol 27, No 1, p. 16-26, 1995.
17. B.R. PIPER, Visually smooth interpolation with triangular Bézier patches, in Geometric modeling: algorithms and new trends, G. Farin Ed., SIAM, p. 221-233, 1987.
18. D. RYPL and P. KRYSL, Triangulation of 3-d surfaces, Tech. Report, Czech Tech. Univ., Prague, 1994.
19. J. SAMAREH-ABOLHASSANI and J.E. STEWART, Surface grid generation in parameter space, J. Comput. Physics, Vol 113, p. 112-121, 1994.
20. W.J. SCHROEDER, J.A. ZARGE and W.E. LORENSEN, Decimation of triangle meshes, Computer Graphics (Proc. Siggraph), Vol 26, no 2, p. 65-70, 1992.
21. X. SHENG and B.E. HIRSCH, Triangulation of trimmed surfaces in parametric space, Computer Aided Design, Vol 24, 8, p. 437-444, 1992.
22. G. TURK, Retiling polygonal surfaces, Computer Graphics, Vol 26, no 2, p. 55-64, 1992.
23. 1 patch from boundary curves, Comput. Aided Design, Vol 28, no 2, p. 113-123, 1996.