反对称双正交小波应用于医学图像增强的研究

摘要

Differential operator function of the dyadic wavelet and anti-symmetrical biorthogonal wavelet is discussed, so as to derive that anti-symmetrical biorthogonal also has the translation invariance as dyadic wavelet. A method using anti-symmetrical biorthogonal filter for image enhancement is proposed. Experiments show that using anti-symmetrical biorthogonal filter to enhance medical image can not only keeps translation invariance but also accelerate speed. At the same time, evaluation index of image enhancement equal and above the result of using dyadic wavelet for image enhancement.%研究了二进小波和反对称双正交小波所具有的微分算子功能,从而得出反对称双正交小波也具有近似于二进小波的平移不变性.提出了用一种反对称双正交滤波器进行图像增强的方法.通过实验可知,用反对称双正交滤波器进行医学图像增强时,不仅会保持平移不变性,而且还能加快速度；同时,图像增强的评价指标数据相等,且有的高于用二进小波进行增强所得到的数据.