| 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. |
| 关键词: 图形 分形生成 FBM约束模型 可控性 自然模拟 工程信息可视化 |
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| 基金项目: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); the Natural Science Foundation of Zhejiang Province of China under Grant No.601020 (浙江省自然科学基金) |
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| A Controllable Fractal Generation Method Based on FBM Constraint Model |
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TAN Jian-Rong,CHEN Hong-Liang
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| Abstract: |
| 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. |
| Key words: graphic fractal generation FBM constraint model controllability nature simulation engineering information visualization |
