Morphological Control and Simulation of Fractal Growth

分形生长的形态控制与模拟

School of Natural and Applied Sciences, Northwestern Polytechnical University, Xi'an 710129, China

Received: 9 July 2018

Abstract

The idea and method of control are introduced into the fractal theory from the perspective of quantitative analysis. In order to speed up aggregation, MDLA growth model with source items is put froward by altering the way of particle generating and killing of the standard DLA growth model. The effect of the iterative step size and particle radius on the growth morphology are discussed, and the growth morphology was simulated directionally.

摘要

从定量分析的角度将控制的思想和方法引入到分形理论中，基于已有DLA生长模型生长速度慢的问题，从改变粒子发射方式和条件出发，应用多粒子发射理论，提出一个改进模型——多粒子扩散限制凝聚模型，简称MDLA模型。讨论了迭代步长和粒子半径对生长形态的影响，并对生长形态进行了定向模拟，实验结果表明了所提出方法的有效性。