wavelet_demo

1、求冲激函数、阶跃函数及三角函数的小波变换 2、模极大值曲线 3、求它们的李氏指数(one, seeking impulse function, step function and trigonometry two wavelet transform, modulus maxima curve 3, Lee seeking their index)

用于进行小波变换，对原始的光谱图像数据进行预处理(Used wavelet transform, the original spectral image data preprocessing)

使用小波变换进行图像去噪，对得到的高频部分利用软阈值和硬阈值法去噪(Image denoising using wavelet transform, the high frequency part by the use of soft threshold and hard threshold denoising)

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.)

实现了基于小波变化的图像融合,并将融合结果显示出来(It realize the Image fusion based on wavelet transform and show the tesult)

利用小波变换，通过设置阈值对图像进行去噪。 首先对图像用小波进行2层分解，然后通过设置硬阈值和软阈值的方法，对图像高频部分去噪。(The wavelet transform is used to denoise the image by setting threshold. Firstly, the image is decomposed into 2 layers by wavelet, and then the high frequency part of the image is denoised by setting the hard threshold and the soft threshold.)

说明：  可以对图像实现拉东变换，包含了原始图像与程序，可以自行修改(Radon transform of image can be realized)

中值滤波源程序，非常好用。程序有说明很容易看懂！(median filtering source, very handy. Note procedure is easy to read!)

对输入的二维灰值图像，先进行提升Haar小波变换，再用经典的EZW算法对小波系数进行压缩，然后反变换重构原图像。(On the importation of two-dimensional gray value of images, first upgrade the Haar wavelet transform, and then classical EZW algorithm to compress the wavelet coefficients, and then inverse transform reconstruction of the original image.)

说明：  matlab中都是对灰度图像进行小波变换，本程序是对彩色图像进行小波变换(matlab in gray-scale images are wavelet transform, this process is a wavelet transform for color image)