0034

2-band discrete wavelet transform (DWT) Dual-Tree Complex Wavelet Packet(The 2-band discrete wavelet transform (DWT) provides an octave-band analysis in the frequency domain, but this might not be ‘optimal’ for a given signal. The discrete wavelet packet transform (DWPT) provides a dictionary of bases over which one can search for an optimal representation (without constraining the analysis to an octave-band one) for the signal at hand. However, it is well known that both the DWT and the DWPT are shift-varying. Also, when these transforms are extended to 2-D and higher dimensions using tensor products, they do not provide a geometrically oriented analysis. The dual-tree complex wavelet transform (DT-CWT), introduced by Kingsbury, is approximately shift-invariant and provides directional analysis in 2-D and higher dimensions. In this paper, we propose a method to implement a dual-tree complex wavelet packet transform (DTCWPT), extending the DT-CWT as the DWPT extends the DWT. To find the best complex wavelet packet frame for a given signal, w)

下面给出了48项泽尼克多项式，外加一项常数项。需要注意的是，读者并不需要严格按照下文所示的顺序排列这些泽尼克项，实际上在不同的应用和机构会采用不同的排列顺序。 表中的#0项是个常数或者说是平移项（piston term），这一项的系数也代表了平均光程差；而#1和#2项分别是x和y方向的倾斜项（tilt terms），#3代表了聚焦，因此，#1到#3项代表了波前的高斯或者近轴特性；#4和#5项代表了像散和离焦，#6和#7项代表彗差和倾斜，而#8项代表了3级像差和离焦，也就是说#4到#8项为3级相差项；同样地，#9到#15项代表了5级像差，而#16到#24项代表了7级像差，#25到#35项代表了9级像差，#36到#48项代表了11级像差。(Here are 48 Zernike polynomials, plus a constant term. It is important to note that the reader does not need to strictly arrange the Zernike entries in the order shown below, but in fact different orders of arrangement are applied to different applications and institutions. Table #0 is a constant or a shift (piston term), a coefficient of this term also represents the average optical path difference; while #1 and #2 are inclined X and Y direction (tilt terms), #3 represents the focus, therefore, #1 to #3 on behalf of the wavefront. Gauss or paraxial properties; #4 and #5 represent the astigmatism and defocus, #6 and #7 represent coma and tilt, and #8 represents the 3 order aberration and defocus, that is to say #4 to #8 is 3 level difference; similarly, #9 to #15 on behalf of the 5 order aberration #16 and #24, to represent the 7 level #25 to #35 aberration, on behalf of the 9 #36 to #48 aberration, on behalf of the 11 order aberration.)

说明：  用matlab做彩色图像的二维直方图，比如rb、rg、bg等(use matlab to draw colour image histogram of two dimension )

image processing code for Histogram

常用的图像去噪算法，基于隐马尔可夫树模型的小波去噪 基于尺度空间和context模型相结合的自适应小波去噪 基于尺度和空间混合模型的小波图像去噪 Bayes估计阈值软门限去噪 (The denoising algorithm used in image denoising, wavelet hidden Markov tree model based on adaptive wavelet denoising combining the scale space and context model based on wavelet denoising image scale and spatial mixed model based on Bayes estimation soft threshold denoising )

说明：  经典的Tarel去雾算法，可用于图像去雾的指标性能对比。(It is the classical dehazing algorithm, and it is can be used comparison with other algorithms.)

图像分割的一个小程序。经过检验，直接运行没问题。希望对大家有用，在这里分享了。(A small program for image segmentation. Tested directly run no problem. We want to share here.)

说明：  MSRCR的一种相关简单算法，和自己的一点改进算法，使用平台为MATLAB(A simple algorithm of MSRCR and its own improved algorithm, using the platform of MATLAB)

RAT，即Radar Tools，用IDL语言开发的雷达图像处理软件(v0.21新版本)，内含所有源代码。亲，学习雷达的、图像处理的、IDL的都可以学习一下哦！(RAT, namely Radar Tools, using IDL language development of the radar image processing software ( v0.21 version ), containing all the source code.Pro, learning radar, image processing, IDL can learn about oh!)

自己修改的基于closed-form的程序，对外国程序在时间上有两倍的改善，能对在复杂背景下的图片，通过画一些简单的前景线，背景线，抠图出前景(it is about matting foreground when the interested ared is located under complixed background,and then choosing some other beautiful background,you can create new image,which brings you some special feelings.thanks.)