基于FBM约束模型的可控性分形生成方法  

A Controllable Fractal Generation Method Based on FBM Constraint Model

作　　者：谭建荣[1] 陈洪亮[1] 

机构地区：[1]浙江大学CAD&CG国家重点实验室,浙江杭州310027

出　　处：《软件学报》2003年第3期651-659,共9页Journal of Software

基　　金：Supported by the National Natural Science Foundation of China under Grant No.69878038 (国家自然科学基金); the Assisting Project of Ministry of Education of China for Backbone Teachers of University and College (国家教育部高等学校骨干教师资助计划)

摘　　要：为了获得分形生成过程的可控性,根据局部变形能的概率分布建立了基本FBM(factal Brown motion)约束模型,通过阈值估计给出了FBM约束因子的具体实现,使得分形生成过程能够在表面细节具备统计自相似性的同时更好地对宏观形状进行控制.其中离散约束下提出的区域缓冲控制与连续约束下提出的区域调和控制方法进一步丰富了分形生成的控制手段.可控性分形生成实例表明,该方法能够实现分形生成过程的有效控制,可在自然模拟、工程信息可视化等领域中得到广泛应用.A controllable fractal generation method is put forward based on FBM constraint model. According to the probability distribution of local deformation energy, the FBM constraint model is set up to keep the statistic self-similarity in detail and the controllability in macrostructure at the same time. And the constraint coefficient of the model can be calculated with the threshold estimation. The regional buffering control and regional harmonic control further enrich the control ways during the fractal generation. The controllable fractal generation examples prove the feasibility, validity and the practicality in nature simulation and engineering visualization.

关 键 词：FBM约束模型 可控性 分形生成方法 计算机图形学 计算机模拟 分形形状 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]