Categorization of fractal plants

被引:11
作者
Chandra, Munesh [1 ]
Rani, Mamta [2 ]
机构
[1] Inst Management Studies, Ghaziabad, India
[2] Galgotias Coll Engn & Technol, Greater Noida, India
关键词
DIMENSION; MODELS;
D O I
10.1016/j.chaos.2008.05.024
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Fractals in nature are always a result of some growth process. The language of fractals which has been created specifically for the description of natural growth process is called L-systems. Recently, superior iterations (essentially, investigated by Mann [Mann WR. Mean value methods in iteration. Proc Am Math Soc 1953;4:506-10 [MR0054846 (14,988f)]]) has been introduced in the study of fractal and chaos. In this paper, inspired by superior iterates, we have generated fractal plants categorically using stochastic L-system. Some beautiful plants are also given in the paper. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1442 / 1447
页数:6
相关论文
共 21 条
[1]  
[Anonymous], 1996, P 2 CSIRO S COMP CHA
[2]   BOTANICAL TREE IMAGE GENERATION [J].
AONO, M ;
KUNII, TL .
IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1984, 4 (05) :10-&
[3]   Interactive design of bonsai tree models [J].
Boudon, F ;
Prusinkiewicz, P ;
Federl, P ;
Godin, C ;
Karwowski, R .
COMPUTER GRAPHICS FORUM, 2003, 22 (03) :591-599
[4]   Estimating the fractal dimension of plants using the two-surface method: An analysis based on 3D-digitized tree foliage [J].
Boudon, Frederic ;
Godin, Christophe ;
Pradal, Christophe ;
Puech, Olivier ;
Sinoquet, Herve .
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2006, 14 (03) :149-163
[5]  
CARAGLIO Y, 2007, J THEOR BIOL, P37203
[6]  
El Naschie MS, 1999, CHAOS SOLITON FRACT, V10, P1303, DOI 10.1016/S0960-0779(98)00167-2
[7]  
ELNASCHIE MS, 1994, CHAOS SOLITON FRACT, V4, P177, DOI 10.1016/0960-0779(94)90141-4
[8]   SILVER MEAN HAUSDORFF DIMENSION AND CANTOR SETS [J].
ELNASCHIE, MS .
CHAOS SOLITONS & FRACTALS, 1994, 4 (10) :1861-1869
[9]  
IJIRI T, 2006, SKETCH L SYSTEM GLOB, P37203
[10]  
Jean R., 1994, PHYLLOTAXIS SYSTEMIC