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文章通过对实序列快速傅里叶变换的算法推导及Mallat 算法原理的分析，根据离散小波变换（DWT）算
法结构特征，提出了一种离散小波的快速变换算法，给出了相应的算法步骤。从数学理论上进行了论证，并把该算法
应用到静态图像处理中，得到了很好的快速和重建效果，具有一定的实用价值。
关键词：小波分析；Mallat 算法；快速小波算法 图像处理
中图分类号：TN914 文献标识码：A
1 引言
小波分析是近十多年来迅速发展起来的新兴学科和信号分析理论，是继傅里叶分析方法之后的重
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对图像做二维离散小波变换，分解级数为3级，并重构图像，不直接调用Matlab的dwt和idwt函数。-pair of 2-dimensional images DWT, decomposition of the three series, and Image Reconstruction, not directly call Matlab dwt and idwt function.
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This paper describes the evolution of new wavelet and scaling numbers for optimized transforms that consistently outperform the 9/7 discrete wavelet transform (DWT) for fingerprint compression and reconstruction. The FBI fingerprint compression stand
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基于压缩感知的图像处理，分别使用二维DCT、FFT和一维dwt变换对图像信号进行稀疏变换，然后使用正交匹配追踪算法进行重构，在进行相应的逆变换-This is a image processing procedure based on compressed sensing which respectively uses two-dimensional DCT, FFT and one-dimensional dwt transform to sparse the image signal a
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用cdf 9/7 小波分解和重建二维图像，若在中间加上适当的处理过程，则可实现对图像的去噪处理。-With cdf 9/7 wavelet decomposition and reconstruction of two-dimensional image, if in the middle combined with the appropriate processing can be achieved to address the image denoising.
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实现db6小波提升变换，对信号进行5层分解和重构。另外被屏蔽的部分为离散小波变换。-Enhance the realization of wavelet transform db6, 5 layers of signal decomposition and reconstruction. In addition to being part of shielding DWT.
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用DWT实现二维小波变换
二维小波分解
重构图形与原始图像误值-With the realization of two-dimensional wavelet transform DWT wavelet decomposition of two-dimensional graphic reconstruction of the original image with the wrong value
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讲解了 MATLAB语言环境下
图像压缩和图像融合方面的基本方法和基于小波变换的图像分解与重构。-Explained the MATLAB language environment, image compression and image integration of the basic methods and wavelet-based image decomposition and reconstruction.
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此程序可以实现对输入图像的小波分解，小波重构-This program allows the input image wavelet decomposition, wavelet reconstruction
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基于分块可压缩传感的图像重建，里面包括contourlet、DWT、DDWT、DCT，图像压缩传感与重建。-Based on the sub-block compressible sensing image reconstruction, which include the Contourlet DWT DDWT,, DCT image compression sensing and reconstruction.
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这是一个二维小波变换经典程序，用DWT实现图像的分解与重构-This is a two-dimensional wavelet transform of the classic procedure, using DWT realize image decomposition and reconstruction
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对图像实现DCT，DWT编码压缩及重建，是一个很好的学习入门东西。附加文档说明-Images to achieve DCT, DWT compression coding and reconstruction, is a good learning portal thing. Additional documentation
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基于Matlab的压缩感知DCT、DWT、DFT正交基及过完备字典稀疏分解信号及重构-Matlab-based compression perception DCT, DWT, DFT orthogonal basis and complete dictionary signal sparse decomposition and reconstruction
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mallat实现信号的分解与重构，可帮助深刻理解mallat的意义-Mallat realize signal decomposition and reconstruction can help a deep understanding of the significance of Mallat
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离散小波变换和方向提升小波变换的小波系数以及分解，重构。-Discrete wavelet transform and direction of lifting wavelet coefficients of wavelet transform and decomposition, reconstruction.
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用DWT实现二维小波变换 二维小波分解 重构图形与原始图像误值-With the realization of two-dimensional wavelet transform DWT wavelet decomposition of two-dimensional graphic reconstruction of the original image with the wrong value
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用DWT实现二维小波变换 二维小波分解 重构图形与原始图像误值-With the realization of two-dimensional wavelet transform DWT wavelet decomposition of two-dimensional graphic reconstruction of the original image with the wrong value
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MRI image decomposition and reconstruction using FFT.
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利用dwt小波函数实现对数据的小波变换 分解与重构-Wavelet transform of data using DWT wavelet transform decomposition and reconstruction
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Emd分解，通过峭度和相关系数选择IMF，进行信号重构，小波分解，小波包分解。(Emd decomposition, selecting IMF by kurtosis and correlation coefficient, signal reconstruction, wavelet decomposition, wavelet packet decomposition.)
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