| 基于小波的2-D分形布朗运动分析与合成 |
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| 引用本文： | 毛峡,陈斌,朱刚,牟田一弥.基于小波的2-D分形布朗运动分析与合成[J].电子学报,2003,31(6):825-828. |
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| 作者姓名： | 毛峡 陈斌 朱刚 牟田一弥 |
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| 作者单位： | 1. 北京航空航天大学电子信息工程学院,北京 100083;2. 中科院空间科学与应用研究中心,北京 100080;3. 日本京都大学电气工程系,京都 606-8501 |
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| 基金项目： | 国家自然科学基金 (No 60 0 72 0 0 5)，北京自然科学基金 (No 30 330 1 3) |
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| 摘 要： | 1/f分形随机过程广泛地存在于各种自然现象和社会现象中,日益成为信号检测与估计、信号处理及图像处理的研究热点.分形布朗运动是模拟此类信号的很好的数学模型.小波因其所具有的多尺度分析能力成为分析分形信号的有力工具.本文分析了二维分形布朗运动经小波变换后各尺度间小波系数相关结构的特性,提出了一种合成二维分形布朗运动的算法,并展示了其在和谐图案生成上的应用.
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| 关 键 词： | 1/f过程 分形布朗运动 小波变换 |
| 文章编号： | 0372-2112(2003)06-0825-04 |
| 收稿时间： | 2002-04-16 |
Analysis and Synthesis of Two Dimensional Fractional Brownian Motion Based on Wavelet |
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| MAO Xia ,CHEN Bin ,ZHU Gang ,Muta Itsuya.Analysis and Synthesis of Two Dimensional Fractional Brownian Motion Based on Wavelet[J].Acta Electronica Sinica,2003,31(6):825-828. |
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| Authors: | MAO Xia CHEN Bin ZHU Gang Muta Itsuya |
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| Affiliation: | 1. School of Electrical Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100083,China;2. Center for Space Science and Application Research,China Academy of Sciences,Beijing 100080,China;3. Dept.of Electrical Engineering,Graduate School of Engineering,Kyoto University,Kyoto 606-8501,Japan |
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| Abstract: | The 1/ f family of fractal processes exists widely in various physical and social phenomena and is increasingly appealing to researcher on signal detection and estimation,signal processing and image processing.Fractional Brownian motion is a convenient model for this kind of process.Wavelet transform is a useful tool to analyze fractal signal by its multi-resolution analysis capability.After analyzing the correlation structure of 2-D fBm signal's wavelet decomposition,this paper proposed a method to synthesize 2-D fBm and showed its application on producing harmonious patterns. |
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| Keywords: | 1/ f process fractional Brownian motion wavelet transform |
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