红外技术, 2013, 35 (11): 696, 网络出版: 2013-12-16
基于多尺度字典的红外与微光图像融合
Infrared and Low Light Level Image Fusion Based on Multi-scale Dictionary
图像融合 稀疏表示 多尺度字典 四叉树 K-SVD算法 最优化函数 image fusion sparse representation multi-scale dictionary quadtree K-SVD algorithm optimum function
摘要
基于人类视觉系统及信号的过完备稀疏表示理论,提出了一种基于多尺度字典的红外与微光图像融合方法。首先把输入的红外与微光图像按照高斯金字塔模型分解,用 DCT字典作为初始字典按照四叉树的结构进行分解,对于各尺度的字典按照 K-SVD算法独立训练更新,构造出多尺度学习字典。其次在该字典下利用改进的 OMP算法得到输入源图像各自的稀疏系数,然后按照最优化融合图像与输入源图像的欧氏距离、融合图像方差的准则,建立一个融合图像稀疏系数的最优化函数,最后通过求解该函数的 l1范数得到融合图像。实验结果表明:该算法的融合效果优于小波变换法、Laplacian塔型方法以及 PCA方法等传统融合方法。
Abstract
A novel infrared and low light level image fusion algorithm based on multi-scale sparse representation is introduced on the basis of the Human Visual System and over-complete sparse representation theory in this paper. Firstly, infrared and low light level images are decomposed according to the Gaussian pyramid model. Then a multi-scale learned dictionary is obtained by using an efficient quadtree decomposition of the DCT dictionary which is considered as the initial dictionary and each scale dictionary independent training update using K-SVD algorithm. We use the improved OMP algorithm with the dictionary to get the input sparse coefficients of source images. And then we get an optimization function of the fusion image sparse coefficients by optimizing the Euclidean distances between fused image and each input, weighted by their own variance. Finally, we obtain the fusion image by solving the l1 norm of the function. The experimental results show that the proposed method exhibits considerably higher fusion performance than the typical methods such as the wavelet transform method, the Laplacian pyramid method and Principal Component Analysis method.
薛模根, 刘存超, 徐国明, 袁宏武. 基于多尺度字典的红外与微光图像融合[J]. 红外技术, 2013, 35(11): 696. XUE Mo-gen, LIU Cun-chao, XU Guo-ming, YUAN Hong-wu. Infrared and Low Light Level Image Fusion Based on Multi-scale Dictionary[J]. Infrared Technology, 2013, 35(11): 696.