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小波变换VHDL

于 2023-04-21 发布 文件大小:17.56 kB
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JPEG2000中的小波变换部分的VHDL源代码。 JPEG2000的核心算法是建立在离散小波变换基础之上的。由于离散小波变换的优良特性使得它成为JPEG2000的核心编码技术:一方面,它能很好地消除图像数据中的统计冗余;另一方面,小波变换的多分辨率变换特性,很好地利用了人眼视觉特性,而且小波变换后的图像数据,能够保持原图像在各种分辨率下的精细结构,为进一步去除图像中其它形式的冗余信息提供了便利。 首先对输入数据按行作小波变换,经水平滤波后并下采样分解出沿水平方向上的低频和高频分量。其次对行处理后的数据按列进行垂直滤波和下采样,这样一幅图像就被分解成四个尺寸分别为原图的四分之一的子图,它们对应十四个子频带:分别为水平方向低频和垂直方向低频(LL子带)、水平方向低频和垂直方向高频(LH子带)、水平方向高频和垂直方向低频(HL子带)、水平方向高频和垂直方向高频(HH子带),HL,LH,HH称为细节子图,LL称为低分辨率子图。再对LL再作运算,可得到二级小波变换如图3所示。可以看出在高频子带中的能量非常低,大部分能量都集中在LL子带中,这对于图像压缩很有利。

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