基于具有对称性的非张量积小波图像融合方法

提出了基于一类新的小波具有紧支撑、对称性和正交性、伸缩矩阵为(20 02)的非张量积小波的图像融合新方法.首先根据非张量积小波理论,提出了一种新的二维4通道4× 4对称滤波器组的设计方法,并用此方法设计出一组具有上述性质的非张量积小波4× 4滤波器组,利用此滤波器组对参加融合的图像进行滤波;然后对低频部分采用取均值、高频部分采用基于局部窗口能量取大的融合算法对滤波后的图像进行融合;最后重构.并采用熵、交叉熵、互信息、均方根误差和峰值信噪比等指标对该方法的融合性能进行了客观评价.对可见光图像与红外图像、远红外图像与近红外图像、航空图像和卫星图像、多聚焦图像等其它多类图像的融合实验结果表明本方法有较好的融合效果,可得到无边缘失真的融合结果图像,其融合性能比采用同样融合算法的张量积Haar小波的融合方法的融合性能好.

Image fusion method based on symmetric non-separable wavelet

Image fusion method based on a new class of wavelet non-separable wavelet with compactly supported, symmetric, orthogonal and dilation matrix is presented. We first present a new constructing method of two dimensional 4x4 symmetric filter bank. Using this method, we construct a non-separable wavelet 4-channels filter bank. The images involved the fusion were decomposed by the filter bank. We use the fusion algorithm as follow: for low-frequency part, the average value was selected, and selecting the center pixel value of the local area window whose the energy is bigger for the three high-frequency parts of each level, then the new image was reconstructed. The method's performance was evaluated by using the entropy, cross-entropy, mutual information, error of mean square root and points signal to noise ratio. The experiment results show that it has good effect for the fusion of visible image and infrared image, far infrared image and near infrared image, aero image and satellite image, multi-focus images and many others class of images. We can obtain the fused image whose edges is no distortion. The performance of the non-separable wavelet fusion method is better than the performance of the Haar separable wavelet fusion method.