GaborFilter

基于DB4 的小波变换，实现了小波的分解与重构，可根据实际需要修改阈值的选取方法(Based DB4 wavelet transform to achieve wavelet decomposition and reconstruction, according to the actual need to modify the threshold selection method)

Harr小波具有紧支撑、零调和性和优良的正交性等优点，因此选择它作为小波变换的基函数。对采样数据进行4层小波包变换得到16维的特征样本。(Harr wavelet has compact support, zero reconcile and excellent orthogonality, etc., so choose it as the base function of wavelet transform. 4 layers of sampled data wavelet packet transform feature samples 16 dimensions.)

使用小波变换的图像边缘检测算法(use wavelet transform Edge Detection Algorithm)

its c-wavelet transform

一种新的瞬时频率估计方法，用到了同步压缩短时傅里叶变换的高阶形式(This MATLAB package is a collection of scripts allowing to generate figures in the paper [1]. This paper puts forward a generalization of the short-time Fourier-based Synchrosqueezing Transform using a new local estimate of instantaneous frequency. Such a technique enables not only to achieve a highly concentrated time-frequency representation for a wide variety of AM-FM multicomponent signals but also to reconstruct their modes with a high accuracy.)

此函数基于二进小波的分解、重构的图像去噪(This function is based on the dyadic wavelet decomposition, reconstruction of the image denoising)

说明：  紧支撑小波基的构造。 以Daubechies小波滤波器系数为例，推导出小波函数及尺度函数，并画出其图像. void Convolution(double* pShortData, int nShort, double* pLongData, int nLong) int CalcScaleFunction(double* pOutData) int CalcWaveletFunction(double* pOutData) Convolution()不是通用的离散卷积代码，而是简单地实现了后面两个函数需要的离散卷积，它要求输入的前一个数组长度小于后一数组长度，而且卷积结果就直接覆盖存储在后一数组中。CalcScaleFunction()计算尺度函数，CalcWaveletFunction()计算小波函数。 (Compactly supported wavelet bases constructed. To Daubechies wavelet filter coefficients as an example, the derived wavelet function and scaling function, and draw their images. Void Convolution (double* pShortData, int nShort, double* pLongData, int nLong) int CalcScaleFunction (double* pOutData) int CalcWaveletFunction ( double* pOutData) Convolution () instead of generic discrete convolution code, but simply the realization of a function behind the need for two discrete convolution, which requires input before an array length is less than the array length of the latter, but the result of convolution directly covered by the latter is stored in the array. CalcScaleFunction () calculated scaling function, CalcWaveletFunction () calculation of wavelet function.)

曲波变换，matlab下的曲波变换，里面也含有图像去噪的简单算法，包括硬阈值去噪等等，在matlab2012a下运行完全没有问题，请放心使用。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。。

用于时频分析，其中包括短时傅里叶变换、小波变换、脊线提取以及一些信号的生成等。(For time-frequency analysis, including short-time Fourier transform, wavelet transform, ridge extraction and generate some signals and so on.)

利用curvelet_toolbox开发的一个红外和可见光图像融合代码。(The development of a curvelet_toolbox infrared and visible image fusion code.)