中文摘要：

为克服遥感影像融合中采用的小波变换存在的缺陷，构建了高平衡阶多进制多小波包变换及其影像融合方法。首先分析了现有小波变换方法的优劣特点以及不同小波变换间的关系，阐述了理论上性能更具优势的高平衡阶多进制多小波包变换的理论基础与快速算法；进而构建了基于该变换方法的影像融合方法，最后将该融合方法应用于资源一号等卫星影像多光谱数据与全色波段的融合试验中，分析论证了该方法在实际应用中的性能特点。结果表明：平衡阶与进制的适量增高能够使基于小波变换的影像融合方法获得更优的融合质量，在采用简单融合规则情况下相对平均光谱误差与全局相对综合误差较传统方法均可降低3%以上，与传统方法相比，该方法算法较复杂，但无显著差别。该方法适用于遥感影像融合等领域。

英文摘要：

The article proposes high-order balanced multi-band multiwavelet packet transforms and the remote sensing image fusion based on the transforms for improving the performances of wavelet transforms based remote sensing image fusion. The properties of different wavelet transforms and the relationship among them were firstly analyzed. It was shown that although the balanced multi-band multiwavelet transform had improvements in signal processing due to the properties of balancing and multi-band systems, it should be developed to its wavelet packet counterpart for more effective spatial-frequency domain representation and further improvement in application. Then, the principle theory of the high-order multi-band multiwavelet packet transform was analyzed and it was found the library of the base functions of the transform is an M-fold tree structure （M is the band number of a wavelet system）. The fast algorithms of the decomposition and reconstruction of the transform were presented. With the algorithm, one could obtain the transform-domain coefficients in different frequency bands of an analyzing dataset. Correspondingly, the library constituted by these coefficients could be also viewed as a set with M-fold tree structures. Using a tree-information searching algorithm based on cost functions, one could find the most suitable sub-tree library in such a tree-structure set. Based on the coefficients corresponding to the library, the high-order balanced multiwavelet packet transform, which was more suitable to the dataset, could be established. Next, the remote sensing image fusion method based on the transform scheme was constructed. An existing simple fusion strategy was used to construct the wavelet transform based fusion method so as to present a clear evaluation on the function of wavelet transforms. The fusion strategy integrated the intensity-hue-saturation （IHS） transform and wavelet transform together. The IHS transform was used to obtain the intensity component of the multi-spectral images in a remote se