利用小波进行多尺度地形生成方法的研究

针对随机中点位移法难以生成符合ｆＢｍ特征的三维地形之缺点，本文把地形看成层次性随机统计过程，提出了利用小波进行多尺度地形生成的新方法，首先利用扩展的随机－相关法按给定的地形参数（均值、地形高程标准差、地形相关长度、地形粗糙度等）形成一定数量用来表示地形骨架的地形特征点，然后与通过小波机制产生的多尺度地形局部细节信号相综合，通过小波多尺度合成获得符合要求的具有任意细节水平的“真实”的三维地形。试验证明这一方法切实可行，可作为随机中点位移法的改进

A Wavelet Based Multiscale Synthesis Approach to Terrain Simulation

As an improvement and replacement of random midpoint displacement method for fBm process generation, a wavelet based multiscale synthesis approach to terrain simulation is proposed in this paper. This new method regards real terrain as a hierarchical and stochastic process, a generalized stochastic relative method is presented to generate enough structural point according to given topographic parameters such as average height, standard deviation, terrain relative length and terrain coarseness etc. for the representation of terrain sketch. Random variables with an appropriate variance proportional to are generated to get terrain details at each scale j . Then an iterative wavelet synthesis on these details and sketch points results in the simulated realistic 3D terrain with any fineness. Experimental results show it's effectively and reliable of this method.