Plane-and Space-Filling Trees by Means of Chain Coding

An algorithm for constructing fractal trees is presented. Fractal trees are represented by means of the notation called theunique tree descriptor [E. Bribiesca, A method for representing 3D tree objects using chain coding, J. Vis. Commun.Image R. 19 (2008) 184-198]. In this manner, we only have a on...

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Detalles Bibliográficos
Autores: Bribiesca, E., Espinosa-Dominguez, N.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:México
Institución:UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
Repositorio:Journal of Applied Research and Technology
Idioma:inglés
OAI Identifier:oai:ojs2.localhost:article/442
Acceso en línea:https://jart.icat.unam.mx/index.php/jart/article/view/442
Access Level:acceso abierto
Palabra clave:Fractal trees
tree descriptor
plane-filling trees
space-filling trees
chain coding.
arboles fractales
codificado de arboles
cadena de codificacion
Descripción
Sumario:An algorithm for constructing fractal trees is presented. Fractal trees are represented by means of the notation called theunique tree descriptor [E. Bribiesca, A method for representing 3D tree objects using chain coding, J. Vis. Commun.Image R. 19 (2008) 184-198]. In this manner, we only have a one-dimensional representation by each fractal tree via achain of base-five digit strings suitably combined by means of parentheses. The unique tree-descriptor notation isinvariant under rotation and translation. Furthermore, using this descriptor it is possible to obtain the mirror image of anyfractal tree with ease. In this paper, we focus on fractal plane-filling trees and space-filling trees.