本文通过从一个新的角度研究了Daubechies滤波器的设计原理,得到了具有紧支撑的正交小波变换滤波器设计的两个理论依据,由此构造了一种图像的精确分解与重构算法.该算法非常简单易行,并且与Daubechies滤波器的设计原理是一致的.实验结果表明本文提出的算法能达到无失真的重构.

In this paper,a novel method to design the Daubechies filter is introduced.Based on this,an algorithm of the image perfect decomposition and reconstruction is proposed.In fact,for orthogonal wavelet transform,the padding approach to the boundary condition is periodic.The approach is derived from the design method of Daubechies filter.When the signal length is more than the length of the filter,the signal can be decomposed and reconstructed perfectly.