以l系统为基础的分形树

Pradifta Gilang Ramdhan, K. D. Purnomo, Firdaus Ubaidillah
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引用次数: 1

摘要

分形树只是一个树干和一些分支,每个分支看起来都像树本身。分形树可以使用IFS和L-Systems方法生成。在本文中,作者利用带有附加变量的l系统开发了分形树生成。所给出的变化包括厚度、长度和分支角度。这一发展有望产生更多样化的分形树图案。在使用L-Systems生成分形树时,首先要确定要使用的字母和符号。然后确定应该使用哪些公理。然后给出了产生规则,并确定了参数l系统。最后是确定随机l系统的概率值。在确定性l系统中,进行了厚度变化、长度变化和分支角度变化。在分支厚度的变化中,如果左分支的厚度比大于右分支的厚度比,则分形树偏左。那么在分支长度的变化中,如果左分支的长度比小于右分支的长度比,则左分支的长度比右分支的长度长。然后在分支的角度上,包含的端点越小,分支就越靠近。使用随机l系统可以产生更多不同的分形树模式,即使它们使用相同的生成规则和参数值
本文章由计算机程序翻译,如有差异,请以英文原文为准。
VARIASI POHON FRAKTAL MENGGUNAKAN L-SYSTEMS
Fractal tree is simply a trunk and a number of branches, each of which looks like the tree itself. The fractal tree can be generated using the IFS and L-Systems methods. In this article, the author develops fractal tree generation using L-Systems with additional variations. The variations given are in thickness, length, and branch angle. This development is expected to produce more diverse fractal tree patterns. In generating a fractal tree using L-Systems, it begins by determining the letters and symbols to be used. Then determine which axioms should be used. Then the production rules are made together with the determination of the parametric L-Systems. And the last is to determine the probability value for the stochastic L-Systems. In the deterministic L-Systems, thickness variations, length variations, and branch angle variations are carried out. In the variation of branch thickness, if the ratio of the thickness of the left branch is greater than that of the right branch, the fractal tree is skewed to the left. Then in the variation of branch length if the ratio of the length of the left branch is smaller than the ratio of the length of the right branch, the length of the left branch is longer than the length of the right branch. Then at the angle of the branching the smaller the 𝜃 that is included causes the branches to be closer together. The use of stochastic L-Systems can produce more diverse fractal tree patterns, even though they use the same production rules and parameter values
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