AAA_Wavelet-Tutorial

2002年，MN Do和Martin Vetterli提出了一种“真正”的图像二维表示方法：Contourlet变换，也称塔型方向滤波器组(Pyramidal Directional Filter Bank, PDFB)。Contourlet变换是利用拉普拉斯塔形分解(LP)和方向滤波器组(DFB)实现的另一种多分辨的、局域的、方向的图像表示方法。(In 2002, MN Do and Martin Vetterli proposed a "real" two-dimensional representation of images: Contourlet transform, also known as Pyramidal Directional Filter Bank (PDFB). Contourlet transform is another multi-resolution, local and directional image representation method based on Laplacian pyramid decomposition (LP) and directional filter banks (DFB).)

说明：  通过高斯函数导数检测图像边缘，实质是方向可调小波变换检测图像边缘（8个方向变换）。(Gaussian function through derivative edge detection in real terms is adjustable direction edge detection wavelet transform (change the direction of 8).)

离散小波分解，把图像分为高频细节与低频概貌。(Discrete wavelet decomposition, the image is divided into high and low frequency detail overview)

dual tree complex wavelet transform

小波方法进行降噪，阈值函数来完成不同设计，核心程序如下面的所示，使用的小波基有coif5，db3，sym4，bior2.4，haar，rbio(Wavelet method for noise reduction, design to complete different threshold function, the core program as shown below, using the wavelet base coif5, db3, sym4, bior2.4, haar, rbio )

小波模极大值去噪程序，希望对大家有用哈！(modulus maxima wavelet denoising procedures in the hope that it may be useful for Kazakhstan.)

彩色RGB图像小波变换，并且重构出低频、中频、高频各个频带子块的图像。(RGB image wavelet and restruct the different frequency band)

小波包分析提取振动信号中的分解，系数重构特征频率，以及能量谱分析计算(Wavelet packet analysis to extract the vibration signal decomposition coefficient reconstruction of the characteristic frequency, and calculate the energy spectrum analysis)

说明：  小波变换是一种新的变换分析方法，一个迅速发展的新领域(Wavelet transform is a new transform analysis method and a rapidly developing new field)

用小波神经网络变换对时间序列信号进行预测，并做了测试，效果很好，请参考(Transform using wavelet neural network to predict the time series signal, and do a test with good results, please refer to)