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Bibliography

1
J.C. Cavendish.
Automatic triangulation of arbitrary planar domains for the finite element method.
International Journal for Numerical Methods in Engineering, 8:679-697, 1974.

2
A.A.G. Requicha.
Representations for rigid solids: Theory, methods and systems.
ACM Computing Survey, 12:437-464, 1980.

3
A. Bowyer.
Computing Dirichlet tessellations.
Computer Journal, 24:162-167, 1981.

4
D.F. Watson.
Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes.
The Computer Journal, 24:167-172, 1981.

5
M.S. Shephard and M.A. Yerry.
A modified quadtree approach to finite element mesh generation.
IEEE Computer Graphics and Applications, 3:39-46, 1983.

6
M.A. Yerry and M.S. Shephard.
Automatic three-dimensional mesh generation by the modified-octree technique.
International Journal for Numerical Methods in Engineering, 20:1965-1990, 1984.

7
S.H. Lo.
A new mesh generation scheme for arbitrary planar domains.
International Journal for Numerical Methods in Engineering, 21:1403-1426, 1985.

8
K.J. Weiler.
Topological Structures for Geometric Modelling.
PhD thesis, Department of Computer and System Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, 1986.

9
P.L. Baehmann, S.L. Wittchen, M.S. Shephard, K.R. Grice, and M.A. Yerry.
Robust geometrically based, automatic two-dimensional mesh generation.
International Journal for Numerical Methods in Engineering, 24:1043-1078, 1987.

10
N. Dyn, J.A. Gregory, and A. Levin.
A four-point interpolatory subdivision scheme for curve design.
Computer Aided Geometric Design, 4:257-268, 1987.

11
J. Peraire, M. Vahdati, K. Morgan, and O.C. Zienkiewicz.
Adaptive remeshing for compressible flow computations.
Journal of Computational Physics, 72:449-466, 1987.

12
T.D. Blacker, J.L. Mitchiner, L.R. Phillips, and Y.T. Lin.
Knowledge system approach to automated two-dimensional quadrilateral mesh generation.
In Proceedings of ASME Computers in Engineering Conference, pages 153-162, San Francisco CA, 1988. ASME.

13
S.H. Lo.
Finite element mesh generation over curved surfaces.
Computers and Structures, 29:731-742, 1988.

14
R. Löhner.
Some useful data structures for the generation of unstructured meshes.
Communications in Applied Numerical Methods, 4:123-135, 1988.

15
R. Löhner and P. Parikh.
Three dimensional grid generation by the advancing front technique.
International Journal for Numerical Methods in Fluids, 8:1135-1149, 1988.

16
K.J. Weiler.
The radial-edge structure: A topological representation for non-manifold geometric boundary representation.
In Geometric Modeling for CAD Applications, pages 3-36. North-Holland, Amsterdam, 1988. Bibliography

17
T.J. Baker.
Automatic mesh generation for complex three-dimensional regions using a constrained Delaunay triangulation.
Engineering with Computers, 5:161-175, 1989.

18
S.H. Lo.
Delaunay triangulation of non-convex planar domains.
International Journal for Numerical Methods in Engineering, 28:2695-2707, 1989.

19
S.H. Lo.
Generating quadrilateral elements on plane and over curved surfaces.
Computers and Structures, 31:421-426, 1989.

20
N. Dyn, A. Levin, and J.A. Gregory.
A butterfly subdivision scheme for surface interpolation with tension control.
ACM Transactions on Graphics, 9:160-169, 1990.

21
D.J. Mavriplis.
Adaptive mesh generation for viscous flows using Delaunay triangulation.
Journal of Computational Physics, 90:271-291, 1990.

22
W.J. Schroeder and M.S. Shephard.
A combined octree/Delaunay method for fully automatic 3-D mesh generation.
International Journal for Numerical Methods in Engineering, 29:37-55, 1990.

23
J.A. Talbert and A.R. Parkinson.
Development on an automatic, two-dimensional finite element mesh generator using quadrilateral elements and Bezier curve boundary definition.
International Journal for Numerical Methods in Engineering, 29:1552-1567, 1990.

24
T.D. Blacker.
Paving: A new approach to automated quadrilateral mesh generation.
International Journal for Numerical Methods in Engineering, 32:811-847, 1991.

25
T.D. Blacker, M.B. Stephenson, and S. Canann.
Analysis automation with paving: A new quadrilateral meshing technique.
Advances in Engineering Software, 13:332-337, 1991.

26
J. Bonet and J. Peraire.
An alternating digital tree (ADT) algorithm for 3D geometric searching and intersection problem.
International Journal for Numerical Methods in Engineering, 31:1-17, 1991.

27
W.H. Frey and D.A. Field.
Mesh relaxation: A new technique for improving triangulations.
International Journal for Numerical Methods in Engineering, 31:1121-1133, 1991.

28
B.P. Johnston, J.M. Sullivan, and A. Kwasnik.
Automatic conversion of triangular finite element meshes to quadrilateral elements.
International Journal for Numerical Methods in Engineering, 31:67-84, 1991.

29
M.S. Shephard and M.K. Georges.
Automatic three-dimensional mesh generation by the finite octree technique.
International Journal for Numerical Methods in Engineering, 26:709-749, 1991.

30
T. Tam and C.G. Armstrong.
2D finite element mesh generation by medial axis subdivision.
Advances in Engineering Software, 13:312-324, 1991.

31
M.M. Yuen, S.T. Tan, and K.Y. Hung.
A hierarchical approach to automatic finite element mesh generation.
International Journal for Numerical Methods in Engineering, 32:501-525, 1991.

32
J.Z. Zhu, O.C. Zienkiewicz, E. Hinton, and J. Wu.
A new approach to the development of automatic quadrilateral mesh generation.
International Journal for Numerical Methods in Engineering, 32:849-866, 1991.

33
J. Cabello, R. Löhner, and O.P. Jacquote.
A variational method for the optimization of two- and three-dimensional unstructured meshes.
Technical Report AIAA-92-0450, 1992.

34
H.N. Gürsoy and N.M. Patrikalakis.
An automatic coarse and fine surface mesh generation scheme based on medial axis transform: Part I. algorithms.
Engineering with Computers, 8:121-137, 1992.

35
E. Kang and K. Haghighi.
A knowledge-based a-priory approach to mesh generation in thermal problems.
International Journal for Numerical Methods in Engineering, 35:915-937, 1992.

36
J. Peraire, J. Peiro, and K. Morgan.
Adaptive remeshing for three-dimensional compressible flow computation.
Journal of Computational Physics, 103:269-285, 1992.

37
E. Rank, M. Schweingruber, and M. Sommer.
Adaptive mesh generation and transformation of triangular to quadrilateral meshes.
Communications in Applied Numerical Methods, 9:121-129, 1992.

38
M.S. Shephard and M.K. Georges.
Reliability of automatic 3-D mesh generation.
Computer Methods in Applied Mechanics and Engineering, 101:443-462, 1992.

39
J.M. Tembulkar and B.W. Hanks.
On generating quadrilateral elements from a triangular mesh.
Computers and Structures, 42:665-667, 1992.

40
D. Zhang, G. Cheng, and Y. Gu.
Automatic generation of quadrilateral mapping elements and applicability of shape optimization.
Computers and Structures, 45:697-705, 1992.

41
S. Canann, M. Stephenson, and T. Blacker.
Optismoothing: An optimization-driven approach to mesh smoothing.
Finite Elements in Analysis and Design, 13:185-190, 1993.

42
M. Halstead, M. Kass, and DeRose T.
Efficient, fair interpolation using Catmull-Clark surfaces.
In Computer Graphics Proceedings (SIGGRAPH '93), pages 35-44, 1993.

43
H. Jin and R.I. Tanner.
Generation of unstructured tetrahedral meshes by advancing front technique.
International Journal for Numerical Methods in Engineering, 36:1805-1823, 1993.

44
S. Rebay.
Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm.
Journal of Computational Physics, 106:125-138, 1993.

45
P.L. George and E. Seveno.
The advancing front mesh generation method revisited.
International Journal for Numerical Methods in Engineering, 37:3605-3619, 1994.

46
H. Hoppe, T. DeRose, T. Duchamp, M. Halstead, H. Jin, J. McDonald, J. Schweitzer, and W. Stuetzle.
Piecewise smooth surface reconstruction.
In Computer Graphics Proceedings (SIGGRAPH '94), pages 295-302, 1994.

47
R. Kreiner and B. Kröplin.
Unstructured quadrilateral mesh generation on surfaces from CAD.
In Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, pages 211-221. Proceedings of the 4th International Conference held at Swansea, Wales, The Cromwell Press, Ltd, 1994.

48
C.K. Lee and S.H. Lo.
A new scheme for the generation of graded quadrilateral meshes.
Computers and Structures, 52:847-857, 1994.

49
R. Richter.
Discontinuity capturing using auto-adaptive finite elements.
In Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, pages 627-638. Proceedings of the 4th International Conference held at Swansea, Wales, The Cromwell Press, Ltd, 1994.

50
J. Samareh-Abolhassani.
Triangulation of NURBS surfaces.
In Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, pages 377-388. Proceedings of the 4th International Conference held at Swansea, Wales, The Cromwell Press, Ltd, 1994.

51
J. Samareh-Abolhassani and J.E. Stewart.
Surface grid generation in parameter space.
Journal of Computational Physics, 113:112-1212, 1994.

52
N.P. Weatherill and O. Hassan.
Efficient three-dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints.
International Journal for Numerical Methods in Engineering, 37:2005-2039, 1994.

53
P. Hansbo.
Generalized Laplacian smoothing of unstructured grids.
Communications in Numerical Methods in Engineering, 11:455-464, 1995.

54
S.H Lo.
Automatic mesh generation over intersecting surfaces.
International Journal for Numerical Methods in Engineering, 38:943-954, 1995.

55
D.L. Marcum and N.P. Weatherill.
Unstructured grid generation using iterative point insertion and local reconnection.
AIAA Journal, 33:1619-1625, 1995.

56
P. Möller and P. Hansbo.
On advancing front mesh generation in three dimensions.
International Journal for Numerical Methods in Engineering, 38:3551-3569, 1995.

57
K. Nakahashi and D. Sharov.
Direct surface triangulation using the advancing front method.
Technical Report AIAA-95-1686-CP, 1995.

58
E. Rank, M. Rücker, and M. Schweingruber.
Automatic mesh generation for plates and shells.
In Computing in Civil and Building Engineering, pages 617-622. Balkema, 1995.

59
J. Warren.
Subdivision methods for geometric design.
Unpublished manuscript, 1995.

60
Z. Bittnar and D. Rypl.
Direct triangulation of 3D surfaces using advancing front technique.
In Numerical Methods in Engineering, pages 86-90. Proceedings of the Second ECCOMAS Conference held in Paris, France, J. Wiley and Sons, Ltd, 1996.

61
H. Borouchaki, P.J. Frey, and P.L. George.
Unstructured triangular-quadrilateral mesh generation. Application to surface meshing.
In Proceedings of 5th International Meshing Roundtable. Sandia National Laboratories, 1996.

62
F.J. Bossen and P.S. Heckbert.
A pliant method for anisotropic mesh generation.
In Proceedings of 5th International Meshing Roundtable. Sandia National Laboratories, 1996.

63
S.A. Canann, S.N. Muthukrishnan, and R.K. Phillips.
Topological refinement procedures for triangular finite element meshes.
Engineering with Computers, 12:243-255, 1996.

64
H.L. deCougny and M.S. Shephard.
Surface meshing using vertex insertion.
In Proceedings of 5th International Meshing Roundtable. Sandia National Laboratories, 1996.

65
P.J. Frey, H. Borouchaki, and P.L. George.
Delaunay tetrahedrization using an advancing-front approach.
In Proceedings of 5th International Meshing Roundtable. Sandia National Laboratories, 1996.

66
P. Krysl.
Computational complexity of the advancing front triangulation.
Engineering with Computers, 12:16-22, 1996.

67
R. Löhner.
Progress in grid generation via the advancing front technique.
Engineering with Computers, 12:186-210, 1996.

68
R. Schneiders.
A grid-based algorithm for the generation of hexahedral element meshes.
Engineering with Computers, 12:168-177, 1996.

69
E.J. Stollnitz, T.D. DeRose, and D.H. Salesin.
Wavelets for Computer Graphics: Theory and Applications.
Morgan Kaufmann Publishers, Inc., San Francisco, 1996.

70
R. Taghavi.
Automatic, parallel and fault tolerant mesh generation from CAD.
Engineering with Computers, 12:178-185, 1996.

71
T.J. Tautges, T.D. Blacker, and S. Mitchell.
The whisker weaving algorithm: A connectivity-based method for constructing all-hexahedral finite element meshes.
International Journal for Numerical Methods in Engineering, 39:3327-3349, 1996.

72
D. Zorin, P. Schröder, and W. Sweldens.
Interpolating subdivision for meshes with arbitrary topology.
In Computer Graphics Proceedings (SIGGRAPH '96), pages 189-192, 1996.

73
G.E. Farin.
Curves and Surfaces for Computer Aided Geometric Design.
Academic Press, Inc., San Diego, 1997.

74
L.A. Freitag.
On combining Laplacian and optimization-based mesh smoothing techniques.
In Trends in Unstructured Mesh Generation, pages 37-43. Proceedings of the Joint ASME/ASCE/SES Summer Meeting, 1997.

75
D. Rypl and P. Krysl.
Triangulation of 3D surfaces.
Engineering with Computers, 13:87-98, 1997.

76
S.J. Owen, M.L. Staten, S.A. Canann, and S. Saigal.
Advancing front quadrilateral meshing using triangle transformations.
In Proceedings of 7th International Meshing Roundtable. Sandia National Laboratories, 1998.

77
É. Béchet, J.Ch. Cuilliere, and F. Trochu.
Generation of a FEM mesh from stereolithography (STL) files.
In Numerical Grid Generation in Computational Field Simulations, pages 191-201, 2000.

78
P. Frey.
About surface remeshing.
In Proceedings of 9th International Meshing Roundtable. Sandia National Laboratories, 2000.

79
P.J. Frey and P.L. George.
Mesh Generation: Application to Finite Elements.
Hermes Science Publishing, Oxford, 2000.

80
Y. Ito and K. Nakahashi.
Surface triangulation for complex geometries.
In Numerical Grid Generation in Computational Field Simulations, pages 709-718, 2000.

81
D. Ives.
Unstructured boundary layer grid generation.
In Numerical Grid Generation in Computational Field Simulations, pages 13-25, 2000.

82
A.V. Mobley, M.P. Carroll, and J.R. Tristano.
A 3D surface meshing algorithm using Riemann calculations with 2D Delaunay in parameter space.
In Numerical Grid Generation in Computational Field Simulations, pages 729-742, 2000.

83
M.A. Padron, J.P. Suarez, and A. Plaza.
Surface approximation by unstructured triangular meshes.
In Numerical Grid Generation in Computational Field Simulations, pages 671-678, 2000.

84
D. Rypl and Z. Bittnar.
Discretization of 3D surfaces reconstructed by interpolating subdivision.
In B.K. Soni, J.F. Thompson, J. Häuser, and P.R. Eiseman, editors, Numerical Grid Generation in Computational Field Simulations, pages 679-688, Mississippi, 2000. The International Society of Grid Generation.

85
A. Sheffer and E. De Sturler.
Parameterization of CAD surfaces for meshing by triangulation flattening.
In Numerical Grid Generation in Computational Field Simulations, pages 699-708, 2000.

86
A. Sheffer and E. De Sturler.
Surface parameterization for meshing by triangulation flattening.
In Proceedings of 9th International Meshing Roundtable. Sandia National Laboratories, 2000.

87
H. Borouchaki and P. Laug.
Mesh simplification made easy.
In K.J. Bathe, editor, Computational Fluid and Solid Mechanics, volume 2, pages 1530-1534. Elsevier, 2001.

88
P. Frey.
Anisotropic surface remeshing.
In K.J. Bathe, editor, Computational Fluid and Solid Mechanics, volume 2, pages 1569-1571. Elsevier, 2001.

89
D. Rypl and Z. Bittnar.
Generation of all-quadrilateral meshes using a triangular mesh generator.
In B.H.V. Topping, editor, CD-ROM Proceedings of the Eighth International Conference on Civil & Structural Engineering Computing. Civil-Comp Press, 2001.



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Daniel Rypl
2005-12-07