Geodesic
Local topological modification of hexahedral meshes. Part I: A set of dual-based operations
Timothy J. Tautges1 ; Sarah E. Knoop2 ; Thomas J. Rickmeyer2
1Argonne National Laboratory, Mathematics and Computer Science Division, Madison, U.S.A.
2University of Wisconsin-Madison, Madison, U.S.A.
ESAIM. Proceedings, Tome 24 (2008), pp. 14-33
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For hexahedral meshes, it is difficult to make topological modifications which preserve conformal property and which are local to the modified elements. This is most easily understood in how changes affect the dual surfaces (sheets) and lines (chords), which have non-local extent in hexahedral meshes. A set of three operations is proposed which represent distinct local changes to the hex mesh and its dual. These operations are shown to compose the larger set of (lipping) operations described by Bern et. al. The relation between these dual-based operations and the insertion of a Boy surface in the dual, described by Bern, is also discussed.
DOI : 10.1051/proc:2008027

Timothy J. Tautges  1   ; Sarah E. Knoop  2   ; Thomas J. Rickmeyer  2

1 Argonne National Laboratory, Mathematics and Computer Science Division, Madison, U.S.A.
2 University of Wisconsin-Madison, Madison, U.S.A. 
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     author = {Timothy J. Tautges and Sarah E. Knoop and Thomas J. Rickmeyer},
     title = {Local topological modification of hexahedral meshes. {Part} {I:} {A} set of dual-based operations},
     journal = {ESAIM. Proceedings},
     pages = {14--33},
     year = {2008},
     volume = {24},
     doi = {10.1051/proc:2008027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:2008027/}
}
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Timothy J. Tautges; Sarah E. Knoop; Thomas J. Rickmeyer. Local topological modification of hexahedral meshes. Part I: A set of dual-based operations. ESAIM. Proceedings, Tome 24 (2008), pp. 14-33. doi: 10.1051/proc:2008027

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