小波技术在曲面变形中的应用

The Application of Wavelets Decomposition on Surface's Deformation

曲面光顺过程会导致曲面形状有很大改变。介绍一种光顺变形后曲面的一种新方法,这种算法根据小波分解的原理除去局部变形后曲面的高频部分,保留其低频部分,采用B-Spline小波捕捉小波分解过程中丢失的细节信息,光顺曲面,使得变形后的曲面能够很好地保持其原有的总体形态,并且满足一定的连续性要求。小波分解,曲面局部变形产生的棱或尖点得到有效的光顺处理。小波分解的计算快速、稳定,特别适合光顺由多控制顶点定义的曲面。

Surface smoothing process can lead to a great change on surface shape.A new way to smoothing surface is presented.After surface＇s deformation,its high frequency components are deleted and low frequency components are remained according to principle of wavelet＇s decomposition.In B-Spline wavelet,the details which are lost during the decomposition are captured to smooth the surface,the entire shape of the deformed surface hardly changed,and some continuity is satisfied.Wavelet decomposition and local deformation of surface edge or sharp point can get effective smoothing processing.Wavelet decomposition has the advantages of fast calculation,stability,and especially suitable for smoothing surface defined by the control vertices.