A GENERAL RANDOM COMBINATORIAL MODEL OF BOTANICAL TREES
A GENERAL RANDOM COMBINATORIAL MODEL OF BOTANICAL TREES
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植物树的一般随机组合模型
DOI：
10.1006/jtbi.1997.0586
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发表时间：
1998
影响因子：
2
通讯作者：
S. Whitesides
中科院分区：
文献类型：
--
作者：
Paul Kruszewski;S. Whitesides
摘要提出了一种新的植物树数学模型，该模型能够根据树种的分叉率来模拟树种的组合结构。为了合成图像的目的，我们首先描述了植物树的一般组合模型。我们应用概率分析中的技术来生成随机组合树，然后将它们建模为三维几何树。我们选择部分基于理论生物学结果的建模函数。通过改变用于生成随机组合树的底层分布，我们能够生成各种植物树的图像。例如，只有一个参数控制从二叉到单叉的分支。然后，我们根据霍顿第一定律对模型进行参数化。我们用一种流行的植物学建模语言L系统实现了我们的算法。
Abstract We present a new mathematical model of botanical trees capable of simulating the combinatorial structure of specific species based on their bifurcation ratios. We first describe a general combinatorial model of botanical trees for the purpose of synthetic imagery. We apply techniques from probabilistic analysis to generate random combinatorial trees and then model them as three-dimensional geometric trees. We choose modelling functions that are partially based on results from theoretical biology. By changing the underlying distribution used to generate the random combinatorial trees, we are able to produce images of a wide variety of botanical trees. For example, just one parameter controls the branching from dichotomous to monopodial. We then parameterize the model acording to Horton's first law. We implement our algorithm in L-systems, a popular botanical modelling language.