Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/54407
Title: A geometric diagram and hybrid scheme for triangle subdivision
Authors: Plaza, Ángel 
Suárez, José P. 
Carey, Graham F.
UNESCO Clasification: 120601 Construcción de algoritmos
Keywords: Mesh
Improvement
Algorithms
Partition
Issue Date: 2007
Journal: Computer Aided Geometric Design 
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.
URI: http://hdl.handle.net/10553/54407
ISSN: 0167-8396
DOI: 10.1016/j.cagd.2006.10.002
Source: Computer Aided Geometric Design [ISSN 0167-8396], v. 24, p. 19-27
Appears in Collections:Artículos
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