Quad mesh generation for k-sided faces and hex mesh generation for trivalent polyhedra

Finite Elements in Analysis and Design

Volumn 26, Issue 4, 1997, Pages 279-301

  Li, T S ^a   Armstrong, C G ^a   McKeag, R M ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; ITERATIVE METHODS; TOPOLOGY;

HEX MESH GENERATION; QUAD MESH GENERATION;

FINITE ELEMENT METHOD;

EID: 0031212109     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(96)00085-6     Document Type: Article

References (12)

1. H. Blum, "A transformation for extracting new descriptors of shape", in: Weinant Wathen-Dunn (ed.), Models for the Perception of Speech and Visual Form, MIT press, Cambridge, MA, pp. 362-381, 1967.
2. H. Blum,"Biological shape and visual science (Part I)", J. Theoret. Biol. 38, pp. 205-287, 1973.
3. H. Blum, "Shape description using weighted symmetric axis features", Pattern Recognition 10 (3), pp. 167-180, 1978.
4. D. Sheehy, C.G. Armstrong and D.J. Robinson, "Shape description by medial surface construction", IEEE Trans. Visualization Comput. Graphics 2, pp. 62-72, 1996.
5. T.K.H. Tam and C.G. Armstrong, "2D finite element mesh generation by medial axis subdivision", Adv. Eng. Software 13, pp. 313-324, 1991.
6. M.A. Price, C.G. Armstrong and M.A. Sabin, "Hexahedral mesh generation by medial surface subdivision: Part I. Solids with convex edges", Internat. J. Numer. Methods Eng. 38, pp. 3335-3359, 1995.
7. M.A. Price and C.G. Armstrong, "Hexahedral mesh generation by medial surface subdivision: Part II: Solids with flat and concave edges", Internat. J. Numer. Methods Eng. 40, pp. 111-136, 1997.
8. O.C. Zienkiewicz and D.V. Phillips, "An automatic mesh generation scheme for plane and curved surfaces by isoparametric co-ordinates", Internat. J. Numer. Methods Eng. 3, pp. 519-528, 1971.
9. W.A. Cook, "Body oriented (natural) co-ordinates for generating three-dimensional meshes", Internat. J. Numer. Methods Eng. 8, pp. 27-43, 1974.
10. T.S. Li, R.M. McKeag and C.G. Armstrong, "Hexahedral meshing using midpoint subdivision and integer programming", Comput. Methods Appl. Mech. Eng. 124, pp. 171-193, 1995.
11. L.R. Hermann, "Laplacian-isoparametric grid generation scheme", J. Eng. Mech. Div. ASCE 102 (EM5), pp. 749-756, 1976.
12. T.S. Li, Meshing and substructuring of 3D stress analysis models, Ph. D. Thesis, Department of Computer Science, The Queen's University of Belfast, 1994.