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采用拟仿射变换进行分形树模拟
引用本文:韩江萍,周敏,郑红婵,潘璐璐.采用拟仿射变换进行分形树模拟[J].计算机工程与设计,2012,33(2):700-704.
作者姓名:韩江萍  周敏  郑红婵  潘璐璐
作者单位:西北工业大学理学院应用数学系,陕西西安,710129
基金项目:国家自然科学基金项目,西北工业大学基础研究基金项目
摘    要:针对分形图形生成中带凝聚的IFS(迭代函数系统)的延伸变换难以有效地选取,其参数修改达不到所需水平的问题,提出一种新的分形树模拟方法,利用拟仿射变换来实现树木成行、树木成林,该方法不涉及延伸变换,而以分形图拟仿射变换取而代之,并通过调整参数可取得理想的效果;另外,对所生成的树木进行渲染(着色),增强了视觉上的真实感.实验结果表明,该方法与传统的实现树木成行、树木成林方法——带凝聚的IFS相比,算法简单,操作灵活,模拟效果较好.

关 键 词:拟仿射变换  带凝聚的IFS  分形  着色  树木模拟

Simulation of fractal trees using pseudo-affine transformation
HAN Jiang-ping , ZHOU Min , ZHENG Hong-chan , PAN Lu-lu.Simulation of fractal trees using pseudo-affine transformation[J].Computer Engineering and Design,2012,33(2):700-704.
Authors:HAN Jiang-ping  ZHOU Min  ZHENG Hong-chan  PAN Lu-lu
Affiliation:(Department of Applied Mathematics,School of Science,Northwestern Polytechnical University,Xi’an 710129,China)
Abstract:To tackle the difficulty of choosing extension transformation availably and the problem of adjusting parameters that can’t reach what it is needed in iterated function system with agglomeration,a novel approach to realizing several rows of fractal trees is proposed using pseudo-affine transformation.The fractal pseudo-affine transformation instead of the extension transformation is taken advantaged.Desirable results by adjusting parameters are obtained.What’s more,the fractal trees generated in this way are rendered to raise the sense of reality.The experiment indicates that algorithm of presented method is simpler,operation is more flexible,and simulation result is better than traditional method which is iterated function system with agglomeration.
Keywords:pseudo-affine transformation  IFS(iterated function system) with agglomeration  fractal  rendering  tree simulation
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