Geodesic
Local Topological Modification of Hexahedral Meshes Part II: Combinatorics and Relation to Boy Surface
Katerina Jurkova1 ; Franck Ledoux2 ; Raphael Kuate3 ; Tom Rickmeyer4 ; Timothy J. Tautges5 ; Hamdi Zorgati6
1 NTI FM TUL, Hálkova 6, 461 17 Liberec 1, Czech Republic;
2 CEA/DAM - Île-de-France, Bruyères-Le-Châtel, France;
3 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Paris, France;
4 University of Wisconsin-Madison, Madison, U.S.A.;
5 Argonne National Laboratory, Mathematics and Computer Science Div., Madison, U.S.A.;
6 Faculté des Sciences de Tunis, Université Tunis El Manar 2092, Tunisia;
ESAIM. Proceedings, Tome 24 (2008), pp. 34-45.

Voir la notice de l'article provenant de la source EDP Sciences

Hexahedral meshes are structured as a set of ordered layer of hexes which makes local topological modifications difficult to do. For instance, removing an hex generally implies to remove a complete layer of hexes. Few works focus on local topological modifications in hexahedral meshes. In this paper, we provide some results which extend and complete some existing works [1,14,15,17], proving in a first part that the flipping operations defined by M. Bern and D. Eppstein are combinatorially free and showing in a second part how to introduce a Boy surface into a dual mesh. This operation allows us to modify the parity of the number of hexes in the primal mesh, thing that can not be done by the M. Bern and D. Eppstein basis of operations.
DOI : 10.1051/proc:2008028

Katerina Jurkova 1 ; Franck Ledoux 2 ; Raphael Kuate 3 ; Tom Rickmeyer 4 ; Timothy J. Tautges 5 ; Hamdi Zorgati 6

1 NTI FM TUL, Hálkova 6, 461 17 Liberec 1, Czech Republic;
2 CEA/DAM - Île-de-France, Bruyères-Le-Châtel, France;
3 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Paris, France;
4 University of Wisconsin-Madison, Madison, U.S.A.;
5 Argonne National Laboratory, Mathematics and Computer Science Div., Madison, U.S.A.;
6 Faculté des Sciences de Tunis, Université Tunis El Manar 2092, Tunisia; 
@article{EP_2008_24_a3,
     author = {Katerina Jurkova and Franck Ledoux and Raphael Kuate and Tom Rickmeyer and Timothy J. Tautges and Hamdi Zorgati},
     title = {Local {Topological} {Modification} of {Hexahedral} {Meshes} {Part} {II:} {Combinatorics} and {Relation} to {Boy} {Surface}},
     journal = {ESAIM. Proceedings},
     pages = {34--45},
     publisher = {mathdoc},
     volume = {24},
     year = {2008},
     doi = {10.1051/proc:2008028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:2008028/}
}
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%A Raphael Kuate
%A Tom Rickmeyer
%A Timothy J. Tautges
%A Hamdi Zorgati
%T Local Topological Modification of Hexahedral Meshes Part II: Combinatorics and Relation to Boy Surface
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Katerina Jurkova; Franck Ledoux; Raphael Kuate; Tom Rickmeyer; Timothy J. Tautges; Hamdi Zorgati. Local Topological Modification of Hexahedral Meshes Part II: Combinatorics and Relation to Boy Surface. ESAIM. Proceedings, Tome 24 (2008), pp. 34-45. doi : 10.1051/proc:2008028. http://geodesic.mathdoc.fr/articles/10.1051/proc:2008028/

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