三维几何信号经验模式分解及其应用

针对三维几何信号非线性、非平稳的特点,提出基于经验模式分解的三维几何信号处理方法。将信号球面参数化,映射到平面,进行均匀规则采样。对平面信号进行限领域的经验模式分解,得到各个内蕴模式图层。从图层信号得到不规则的原始映射信号,逆映射回三维几何模型信号。将该方法用于几何模型的光顺及增强处理,实验结果表明,该方法能够有效处理三维几何信号。

Empirical Mode Decomposition and Its Application of Three-dimension Geometry Signal

The three-dimension geometry signal is usually nonlinear and non-stationary.According to this characteristic,a novel method based on Empirical Mode Decomposition（EMD） is presented to process the geometry signal.The main idea is to decompose the signal into some different detail components called Intrinsic Mode Function（IMF）.The signal is parameterized as a spherical signal,transformed to the plane signal and sampled regularly.The translated signal can be processed as an image,using bid-empirical mode decomposition.After getting several image IMFs,these IMFs are inversely mapped to geometry signal and the geometry signal’s IMFs are got.The advanced power of the algorithm is proved by a number of experiments,including denoising and enhancement.