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NONSUBSAMPLED CONTOURLET TRANSFORM FILTER DESIGN AND APPLICATIONS

%Contourlet Toolbox (Version 2.0)
%
%Demos演示
% DECDEMO    Demonstrates contourlet decomposition and reconstruction 显示contourlet分解与重构
% NLADEMO    Demo for contourlet nonlinear approximation.演示为contourlet非线性逼近
% NLADEMO2   Nonlinear approximation demo using only the finest scale非线性逼近演示只用最优秀的规模
% DENOISEDEMO  Denoise demo降噪演示
%
%Main functions: Contourlets pyramidal directional filter bank contourlets锥体定向滤波器
% PDFBDEC    Pyramidal Directional Filter Bank (or Contourlet) Decomposition锥体定向滤波器（或contourlet ）分解
% PDFBREC    Pyramid Directional Filterbank Reconstruction金字塔定向filterbank重建
% 
%Retrieve filters by names  过滤器的名字
% PFILTERS   Generate filters for the Laplacian pyramid拉普拉斯金字塔
% DFILTERS   Generate directional 2D filters方向性的二维过滤器
% LDFILTER   Generate filter for the ladder structure梯形结构
%
%Utility functions of the contourlet transform——contourlet变换的效用函数
% SHOWPDFB   Show contourlet or PDFB coefficients. 显示contourlet或pdfb系数
% PDFB2VEC   Convert the output of the PDFB into a vector form转换输出的pdfb成矢量形式
% VEC2PDFB   Convert the vector form to the output structure of the PDFB把矢量形式转换成向输出的pdfb结构
% PDFB_TR    Retain the most significant coefficients at certain subbands留住最显着的系数，在某些子带
% PDFB_NEST  Estimate the noise standard deviation in the PDFB domain估计噪声标准偏差在pdfb域
%
%Laplacian pyramid 拉普拉斯金字塔
% LPDEC      Laplacian Pyramid Decomposition拉普拉斯金字塔分解
% LPDEC      Laplacian Pyramid Reconstruction重构
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%Wavelet filter bank 小波滤波器组
% WFB2DEC    2-D Wavelet Filter Bank Decomposition
% WFB2REC    2-D Wavelet Filter Bank Decomposition
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%Directional filter bank 方向滤波器组
% DFBDEC     Directional Filterbank Decomposition
% DFBREC     Directional Filterbank Reconstruction
% DFBDEC_L   Directional Filterbank Decomposition using Ladder Structure梯形结构
% DFBREC_L   Directional Filterbank Reconstruction using Ladder Structure
% DFBIMAGE   Produce an image from the result subbands of DFB
% 
%Two-channel 2D filter banks (used in the DFB) 双通道二维滤波器 
% FBDEC      Two-channel 2D Filterbank Decomposition
% FBDEC_L    Two-channel 2D Filterbank Decomposition using Ladder Structure
% FBREC      Two-channel 2D Filterbank Reconstruction
% FBREC_L    Two-channel 2D Filterbank Reconstruction using Ladder Structure  
% 
%Multidimensional filtering (used in building block块 filter banks)多维滤波
% SEFILTER2  2D seperable filtering with extension handling 二维分割扩展滤波
% EFILTER2   2D Filtering with edge handling (via extension)二维边缘处理滤波
% EXTEND2    2D extension
 
%Multidimensional sampling (used in building block filter banks)多维采样
% PDOWN      Parallelogram Downsampling平行四边形下采样
% PUP        Parallelogram Upsampling
% QDOWN      Quincunx Downsampling五株下采样
% QUP        Quincunx Upsampling
% QUPZ       Quincunx Upsampling (with zero-pad and matrix extending)
% DUP        Diagonal Upsampling对角线上采样
% RESAMP     Resampling in 2D filterbank重采样二维滤波器组
% RESAMPZ    Resampling of matrix重采样的矩阵
% RESAMPC    Mex file used in RESAMP
%
%Polyphase decomposition (used in the ladder structure implementation)多相分解（用于在梯形结构）
% QPDEC      Quincunx Polyphase Decomposition五株多相分解
% QPREC      Quincunx Polyphase Reconstruction
% PPDEC      Parallelogram Polyphase Decomposition平行四边形多相分解
% PPREC      Parallelogram Polyphase Reconstruction
%
%Support functions to avoid visual distortion (used in DFB)避免视觉失真的函数
% BACKSAMP   Backsampling the subband images of the directional filter bank backsampling子带图象的定向滤波器
% REBACKSAMP Re-backsampling the subband images of the DFB
%
%Support functions for generating filters 
% FFILTERS   Fan filters from diamond shape filters
% LD2QUIN    Quincunx filters from the ladder network structure
% MCTRANS    McClellan transformation
% MODULATE2  2D modulation二维调制
% 
%Other support functions
% COMPUTESCALE   Comupute display scale for PDFB coefficients显示PDFB系数
% SMTHBORDER Smooth the borders of a signal or image光滑一个信号或图像的边界
% SNR        Compute the signal-to-noise ratio计算信噪比