虚拟植物生长的双尺度自动机模型

用来构造植物形态的计算机模型很多，但大部分模型用于自然景物的模拟，所研究的内容主要集中在计算机图形学方面。该文从植物学的角度出发，提出了微状态和宏状态的双尺度概念，建立了虚拟植物生长的双尺度自动机模型，该模型考虑了植物的生长机理，参数物理意义明确，结构简洁条理，形象直观，易于理解和编程实现，并且应用了符合植物顶芽和腋芽发育过程的概率模型，更适合模拟真实植物的生长过程，通过与“L系统”和“参考轴技术”这两种著名的植物生长模型的比较，以及给出了用该模型模拟植物学家提出的构造模型的例子，证明了该模型实用有效。

Dual Scale Automaton Model for Virtual Plant Development

A variety of plant growth models or methods for plant image synthesis have been reported. However, most of them are based on computer graphics to demonstrate natural scenery, and they are not suitable for the study of agronomy or botany. Although L\|system and reference axis technique can be used to model plant growth, these two models are not easy for understanding and applications. In this work, a dual\|scale automaton model for virtual plant growth is developed from the viewpoints of botany. Two concepts, namely, microstate and macrostate, are proposed according to the physiological age of plant growth. The macrostate corresponds to growth unit and the microstate to metamer. The transitions between or within the microstate and macrostate are represented in semi\|Markov chain. A probability process, in accord with the growth of plant's apical bud and axillary bud, is applied in this model. Using this methodology, the topological structures at each growth stage can be generated. The parameters of this model have explicitly physical meaning for relating to the topological structures and can be given with the help of diagram. All of these features make it easy for users to understand and implement in applications. This model has been tested for all plant architectural models defined by botanists. Only one example is given in the paper to confirm the advantages of the methodology. The present model demonstrates a simpler but more effective method in comparison with other approaches, such as L\|system and reference axis technique.