Abstract
In this work we introduce a geometrical diagram to study the geometric quality of triangles generated by iterative application of the four Triangles Longest Edge (4TLE) partition. The diagram provides a convenient graphic tool to visualize the evolution and migration of element shapes leading to a better understanding of the improvement process and the effect of recursive subdivision schemes. A complex variable mapping analysis supports the diagram and similarity class specifications. In addition, it is introduced a mesh subdivision method (hybrid 4TLE-SS) that combines the four Triangles Longest Edge (4TLE) subdivision pattern and the self-similar 4TSS. It is showed that the number of triangles of superior quality is greater than in the 4TLE method. The presented work is of interest in mesh generation and refinement for triangle meshes. A GEOMETRIC DIAGRAM AND HYBRID SCHEME FOR TRIANGLE SUBDIVISION.
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Published on 01/01/09
Accepted on 01/01/09
Submitted on 01/01/09
Volume 25, Issue 1, 2009
Licence: CC BY-NC-SA license
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