Fractal Trees with Side Branching

Fractal Trees with Side Branching
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具有侧枝的分形树

DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
A. Gabrielov
A. Gabrielov
中科院分区：
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文献类型：
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作者：
W. I. Newman;D. Turcotte;A. Gabrielov

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本文研究了具有自相似分支的分形树。介绍了侧分枝的德永分类系统，沿着介绍了德永自相似条件。面积填充（D = 2）和体积填充（D = 3）的确定性分形树的建设，并没有侧分支。扩散限制聚集（DLA），实际的排水网络，以及生物学的应用被认为是。德永分类学在自然界中具有广泛的适用性。
This paper considers fractal trees with self-similar side branching. The Tokunaga classification system for side branching is introduced, along with the Tokunaga self-similarity condition. Area filling (D = 2) and volume filling (D = 3) deterministic fractal tree constructions are introduced both with and without side branching. Applications to diffusion limited aggregation (DLA), actual drainage networks, as well as biology are considered. It is suggested that the Tokunaga taxonomy may have wide applicability in nature.