The relationship between arts and mathematics is very close, computer graphic design is based on digital methodology. The paper reveals the mathematical backgrounds behind graphic design by the example of computer-aid...The relationship between arts and mathematics is very close, computer graphic design is based on digital methodology. The paper reveals the mathematical backgrounds behind graphic design by the example of computer-aided cubic modeling and mathematical exchange methodology. Furthermore, one can get incredible artistic effects if computer graphic designers pay more attention to the probability and use probable numbers and fractal operation in their design activities.Finally, the author also discusses the bidirections between arts and mathematics.展开更多
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...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.展开更多
文摘The relationship between arts and mathematics is very close, computer graphic design is based on digital methodology. The paper reveals the mathematical backgrounds behind graphic design by the example of computer-aided cubic modeling and mathematical exchange methodology. Furthermore, one can get incredible artistic effects if computer graphic designers pay more attention to the probability and use probable numbers and fractal operation in their design activities.Finally, the author also discusses the bidirections between arts and mathematics.
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)
文摘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.