| IFS分形吸引子的连续变形技术 |
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| 引用本文： | 刘树群,王珊珊.IFS分形吸引子的连续变形技术[J].兰州理工大学学报,2008,34(6). |
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| 作者姓名： | 刘树群 王珊珊 |
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| 作者单位： | 1. 兰州理工大学,理学院,甘肃,兰州,730050
2. 兰州理工大学,计算机与通信学院,甘肃,兰州,730050 |
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| 摘 要： | 针对迭代函数系统(IFS)分形吸引子变形时出现失真、断裂、特征退化等问题,分析现有变形技术的缺陷.在分形、数学等理论基础上,提出基于IFS的交互式分形造型生成算法,即点变换算法,以及点变换之间的相互转化(升级)技术,包括两点变换、三点变换(其二维情况为仿射变换)和四点变换(其二维情况为双线性变换).该算法解决了吸引子变形时的连通性问题,并在吸引子连续变化中采用对点交互式插值的方法获得高效快速的实时动画效果.
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| 关 键 词： | 分形 迭代函数系统 变形 连通 点变换 插值 |
A technique of consecutive metamorphosis of IFS fractal attractors |
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| LIU Shu-qun,WANG Shan-shan.A technique of consecutive metamorphosis of IFS fractal attractors[J].Journal of Lanzhou University of Technology,2008,34(6). |
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| Authors: | LIU Shu-qun WANG Shan-shan |
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| Institution: | LIU Shu-qun1,WANG Shan-shan2(1.School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China,2.College of Computer , Communication,China) |
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| Abstract: | Aimed at the problems such as the distortion, rupture,and feature degradation of the images that took place when the fractal attractors of iterative function system(IFS) deformed,the defect of the metamorphosis technique available was analyzed,an IFS-based interactive fractal modeling algorithm,merely the points transformation algorithm was presented on the basis of fractal theories,mathematics etc.The algorithm included two-point transformation,three-point transformation(affine transformation in two-dimens... |
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| Keywords: | fractals iterative function system(IFS) metamorphosis connectivity point-transformation interpolation |
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