扩散限制聚集模型的光学小波变换  

Optical Wavelet Transform of Diffusion-limited Aggregate Pattern

作　　者：冯璧华[1] 章程军[1] 金国钧[1] 张克勤[1] 潘永华 

机构地区：[1]南京大学固体微结构物理国家重点实验室,南京210093

出　　处：《中国激光》2000年第1期79-82,共4页Chinese Journal of Lasers

基　　金：国家科委攀登计划;国家自然科学基金!(批准号:49571059)

摘　　要：论述了用Ｍｅｘｉｃａｎ－ｈａｔ小波函数簇实现扩散限制聚集（ＤＬＡ）模型的光学小波变换（ＯＷＴ）。采用一系列离散化的压扩因子，成功地将ＤＬＡ分形图像分解成多种尺度成分。因此，该方法能简单、快速地从不同时段直观地观察分形体自相似结构的形成过程。还用光学小波变换的方法求出了ＤＬＡ分形的分维值。实验结果证实了光学小波变换是一种实时分析ＤＬＡ 模型的重要方法。The method of realizing optical wavelet transform (OWT) with Mexican hat wavelet function for diffusion limited aggregate (DLA) pattern is described in this paper. DLA fractal pattern is successfully dissolved into different scale patterns by using a series of discrete dilation factor. The advantage of optical wavelet transform (OWT) is that the constructing process of self similarity in fractal pattern can be observed simply and rapidly from the domain of different time. DLA Fractal dimension has been also obtained using the method of the OWT in this paper. The experimental results have proved that OWT is an important method to analyze DLA pattern in real time.

关 键 词：光学小波变换 分形 分维 扩散限制聚集 DLA模型 

分 类 号：TN241[电子电信—物理电子学]