正交平衡多小波的构造及其在图像编码中的研究

Orthogonal Balanced Multiwavelet and its Study on Image Coding

多小波作为小波理论的一个新的分支 ,具有标量小波所没有的特性 为更好地逼近原始信号 ,多小波需要选择一个好的预滤波器 在分析GHM和CL多小波的基础上 ,根据多小波正交条件、对称及反对称性 ,提出一种正交平衡滤波器构造的方法 图像编码实验结果表明 ,不需任何预滤波 ,正交平衡滤波器的性能远远高于GHM和CL ,接近或高于 9/

Multiwavelets constitute a new chapter which has been added to wavelet theory, possess different properties from scalar wavelets It is crucial for multiwavelets to choose a good prefilter which can provide a good approximation to the initial signals In this paper, an approach to the construction of orthogonal balanced filter is proposed, and experimental results of the image coding by the approach prove that its performance is higher than GHM and CL multiwavelets, closer to or higher than 9/7 scalar filter without any prefilter