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lifting_97

于 2008-06-25 发布 文件大小:2KB
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  本程序实现任意偶数大小图像第二代双正交97提升小波变换 注1: 采用标准正交方法,对行列采用不同矩阵(和matlab里不同) 注2: 为了保证正交,所有边界处理,全部采用循环处理 注3: 正交性验证,将单位阵带入函数,输出仍是单位阵(matlab不具有此性质) 注4: 此程序是矩阵实现,所以图像水平分量和垂直分量估计被交换位置 注5: 此程序实现的是类小波(wavelet-like)变换,是介于小波包变换与小波变换之间的变换 注6: 此程序每层变换相对原图像矩阵,产生的矩阵都是正交阵,这和小波包一致 注7: 但小波变换每层产生的矩阵,是相对每个待分解子块的正交矩阵,而不是原图像的正交矩阵 注8: 且小波变换产生的正交矩阵维数,随分解层数2分减少 注9: 提升系数可以在MATLAB7.0以上版本,用liftwave( 9.7 )获取,这里直接给出,考虑兼容性 注10:由于MATLAB数组下标从1开始,所以注意奇偶序列的变化 注11:d为对偶上升,即预测;p为原上升,即更新(err)

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