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Title: Fractality of refined triangular grids and space-filling curves
Authors: Plaza, A. 
Suárez, J. P. 
Padrón, M. A. 
UNESCO Clasification: 120601 Construcción de algoritmos
Keywords: Iterated function systems
Local refinement
Simplicial grids
Space-filling curves
Issue Date: 2005
Journal: Engineering with Computers 
Abstract: In this paper we explain the fractal geometry of refined and derefined triangular and tetrahedral meshes by means of the application of iterated function systems (IFS). These meshes feature a remarkable amplifying invariance under changes of scale. The applications of IFS families are shown equivalent to the use of adaptive strategies that combine the refinement procedure with the derefinement procedure. In addition, space-filling curves (SFC) are used to assign a binary code for any 2D triangular refined mesh. SFC are also shown as useful for the problem of automatic domain decomposition.
ISSN: 0177-0667
DOI: 10.1007/s00366-004-0301-7
Source: Engineering with Computers [ISSN 0177-0667], v. 20 (4), p. 323-332
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