基于自适应正交小波基的图像分解

Image decomposition based on adaptive orthogonal wavelets bases

简单介绍了傅利叶变换以及傅立叶加窗变换的局限性,以及小波变换的提出对这一局限性的有效解决。重点介绍了小波变换基本原理,正交小波基的概念,以及正交小波分解回复算法。并用程序实现了正交小波基的统一解析构造方法。最后,利用小波算法对图像的水平和垂直细节进行提取,并给出了分解结果。

After pointing out the drawbacks of Fourier transform and windowed Fourier transform, the author emphasizes the basic principle of wavelet transform, the concept of orthogonal wavelet base and the decomposition and reconstruction algorithms of orthogonal wavelet .Uniform analytic construction of wavelet analysis filters based on sine and cosine trigonometric functions is realized by software. The horizontal and vertical details are separately picked-up through wavelet method. Finally the experiment result is given in order to proof the efficiency of the method.