基于高斯一维随机插值算法的分形云建模  

The Fractal Cloud Modeling Based on Gaussian 1-D Stochastic Interpolation Algorithms

作　　者：张淼[1] 王琰[1] 祁燕[1] 

机构地区：[1]沈阳理工大学信息科学与工程学院,辽宁沈阳110168

出　　处：《沈阳理工大学学报》2008年第1期10-13,共4页Journal of Shenyang Ligong University

摘　　要：在Diamond-Square算法的基础上,通过构建独立平稳的随机增量过程,采用高斯一维随机插值算法进行分形云建模.依据高斯分布具有中心极限定理的意义,利用系统的伪随机序列实现了服从高斯分布的数学插值模型.为了建立过渡自然的分形云形象模型,利用分形特征参数H和σ,提出了具有简单线性关系的形象建模算法,并对相关参数进行了控制分析,从而获得了详尽而丰富的分形云效果图.Based on the Damond-Square algorithm and constructing the independent stationary stochastic increments process, the fractal cloud modeling is discussed using Gaussian 1-D stochastic inter polation algorithm. According to the central limit theorem of Gaussian distribution, a mathenlatical interpolative model following Ganssian distribution is established using the system＇s pseudo-random sequence. In order to build the cloud pattern model with natural rendering, a patterln modeling algorithm with simple linear relationship is put foweard using the fractal characteristic parameters H and σ. And some related parameters are also analysed for control, thus the simulative cloud picture with the detailed and rich fractal effects is obtained.

关 键 词：DIAMOND-SQUARE算法 平稳随机过程 高斯一维随机插值算法 林德伯格-列维中心极限定理 线性 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]