中文摘要：

提出一种新的基于梅花形采样离散小波框架的图像融合算法．首先论证多维完全重构滤波器组采样矩阵的可替换性，由此推导出梅花形采样离散小波框架并分析其特性；然后将该框架应用到多尺度图像融合方案得到一种低冗余近似移不变的融合算法；最后对融合算法进行实验分析并与已有算法比较．实验结果表明本文算法可以快速获取高质量的融合图像．

英文摘要：

A novel image fusion algorithm based on the quincunx-sampled discrete wavelet frame is presented. Firstly, the replaceability of sampling matrix for multidimensional perfect reconstruction filter banks is shown; based on this, the quincunx-sampled discrete wavelet frame is derived, and its characteristics are discussed. Then, the frame is incorporated into the multiscale-based image fusion scheme, and a nearly shift-invariant fusion algorithm with low redundancy is obtained. Finally, the algorithm is tested and compared with existing algorithms. The results show that the algorithm can produce high-quality fused images rapidly.