一种新的二进小波滤波器的构造及应用研究

Study on the Construction and Application of a New Binary Wavelet Filter

从消失矩的条件出发,根据二进小波提升方案,提出一种提升二进小波滤波器的构造方法。初始小波滤波器选用3次B-样条二进小波滤波器,调整构造定理中提升参数,构造满足需求的二进提升小波滤波器,并将提升后的小波滤波器分别作为二进小波变换分解与重构滤波器,然后将其应用于图像处理中。大量实验表明,所构造的提升小波滤波器可适用于图像的增强方面,并且处理后的图像的清晰度、信息熵以及峰值信噪比都有了明显的提高。

In view of the conditions of vanishing moment,according to the binary wavelet improvement scheme,a kind of method was proposed to improve the structure of the binary wavelet filter.For starters,3-time B-spline binary wavelet filter was selected and the parameters of the structure was adjusted to construct binary wavelet filter which meets requirements.The improved wavelet filters were respectively taken as binary wavelet decomposition and reconstruction filters for image processing.A large number of experiments show that the improved wavelet filter is suitable for image enhancement,and the resolution,information entropy and peak signal-to-noise ratio of the processed image are significantly improved.