Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
441384 | Computer Aided Geometric Design | 2007 | 9 Pages |
Abstract
We introduce a geometrical diagram to study the improvement in shape of triangles generated by iterative application of triangle subdivision. The four Triangles Longest Edge (4TLE) subdivision pattern and a new hybrid 4T Longest-Edge/Self-Similar (hybrid 4TLE-SS) scheme are investigated in this way. The map diagram provides a convenient way 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. Numerical comparisons confirm the superiority of the new hybrid scheme.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design