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Automated Conversion of 2D Triangular Mesh into Quadrilateral Mesh with Directionality Control
Itoh, Takayuki, Kenji Shimada, Keisuke Inoue, Atsushi Yamada, Tomotake Furuhata
Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.77-86, October 1998
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INTERNATIONAL MESHING ROUNTABLE
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7th International Meshing Roundtable
October 26-28, 1998
Dearborn, Michigan, USA
Takayuki Itoh, Keisuke Inoue, Atsushi Yamada
IBM Research, Tokyo Research Laboratory
Email: { itot, inoue, ayamada }@trl.ibm.co.jp
Kenji Shimada
Carnegie Mellon University, Mechanical Engineering
Email: shimada@cmu.edu
Tomotake Furuhata
IBM Japan, AP Solution Development
Email: furuhata@yamato.ibm.co.jp
Abstract
This paper proposes an automated quadrilateral meshing technique based
on the conversion of triangular meshes. Given a triangular mesh and a
vector field representing the desired directionality of quadrilateral
elements, our new approach generates a well-shaped and well-aligned
quadrilateral mesh. In the approach, the values of three scalar
functions are first calculated for each pair of adjacent triangular
elements. These functions evaluate the following conditions: (1)
directionality control, (2) optimization of the shapes of elements, and
(3) reduction of the number of isolated triangular elements. Pairs of
triangular elements are then converted into quadrilateral elements in
order of the sum of the values of the three functions.
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