多小波图象编码

Multiwavelet Image Coding

首先 ,与许多有关多小波的文献不同 ,该文从 Mallat多分辨率分析的角度叙述多小波理论 ,并由此推导出多小波变换的快速算法 ;其次 ,结合二种常用的多小波图象变换预处理方法 ,提出了一种新的预处理方法 .最后 ,揭示了经多小波分解后 ,同一幅矢量子带图象不同分量图之间的相关性 ,并利用这种相关性进行图象编码 .理论分析和实验数据都表明 ,多小波图象编码是一种很有潜力的图象编码方法 .

This paper investigates multiwavelet image coding. Firstly, unlike many papers on multiwavelets, we describe multiwavelets from the viewpoint of Mallat's frame of multiresolution analysis and deduce a fast algorithm of multiwavelet transform. Secondly, combining two preprocessing methods of multiwavelet transform of images commonly used in many papers, we propose a new preprocessing method. Lastly, we reveal the dependence between different components of a vector subimage emerged after multiwavelet transforming an image and perform image coding based on this dependence. The theoretical analysis and experimental results presented in this paper show that multiwavelet image coding is a promising way to compress an image.