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CL多小波图象编码

黄卓君1, 马争鸣1(中山大学电子系信息处理实验室,广州市 510275)

摘 要
CL多小波具有与多其他多小波(如GHM多小波)不同的特点,一幅图象经过小波变换后,原图象的绝大部分能量都集中在中于最低分辨率子图象,而对于CL多小波而言,其最低分辨率子图象的绝大部分能量又进一步集中于它的第一个分量,这意味着CL多小波图象编码需要考虑的重要系数比其他多小波图象编码减少了四分之三,本文将CL多小波这一特点应用于图象编码,实验结果表明,就压缩比和信噪比而言,这种充分利用CL多小波特点的图象编码方法,其编码结果要优于目前公开发表的GHM多小波图象编码的结果。
关键词
CL Multiwavelet Image Coding

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Abstract
CL multiwavelets have some characteristics different from that of other multiwavelets such as the commonly used GHM multiwavelets. After the multiwavelet transformation of an image, most energy of the image is mainly concentrated on its lowest resolution subimage. As for CL multiwavelets, most energy of the lowest resolution subimage is further concentrated on its first component. This implies that the number of most significant coefficients to be encoded in CL multiwavelet image coding is approximately one fourth as many as that in other multiwavelet image coding. However this characteristic of CL multiwavelets as well as its potential possibility of application to image coding have not been mentioned yet. In this paper, we first reveal this characteristic of CL multiwavelets from theoretical aspect and experimental data and then apply this characteristic in CL multiwavelets image coding. We have achieved the results better than that of GHM multiwavelet image coding published so far in terms of compression ratio as well as PSNR.
Keywords

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