2 ) tansformed the real part and imaginary part of interferogram to stationary wavelet domain , analyzed the pdf of signal and noise wavelet coefficients using pearson distribution system , then evaluated the wavelet coefficients of signal in stationary wavelet domain by maximum a posterior ( map ) criteria to reconstruct the interferogram 2 )将干涉图的实部和虚部分解到静态小波域，用pearson分布系作近似，分析了信号和噪声小波系数的概率密度函数，在静态小波域用map准则估计信号的小波系数用于干涉图的重建。
Under the interference of flat earth effect , the interferogram fringes tend to be over intensive which results in the difficulty of phase unwrapping . so the flat earth effect must be eliminated . and also the phase noises could affect the quality of interferogram so that they should be filtered after the removal of the flat earth effect 初始生成的干涉相位图,由于受到平地效应的影响,干涉条纹过密而增加相位解缠的难度,因此需要去除平地效应, “去平”还需要对相位图进行滤波降噪。
Phase - shifting errors have a great influence on the measuring - accuracy . a few of algorithms have been developed to solve linear phase - shifting errors , but ca n ' t solve the problem of random phase - shifting errors . an iterative least - squares fitting method has been proposed by in - bok kang to solve random phase shift errors in each interferogram 在这种方法中相移的误差对测量结果的准确性有较大影响，虽然已经出现了不少算法能解决线性相移误差，但要解决相移过程中的随机相移误差问题，还存在一定的困难。
The results and conclusions are as following : 1 ) based on gaussian hypothesis for the signal and noise of real part and imaginary part of interferogram , in stationary wavelet domain , the pdf of wavelet coefficients of signal and noise term are analyzed to be pearsonlv type and pearson vd type respectively 2 ）假定干涉图的实部和虚部的信号符合高斯分布、噪声符合均值为1的高斯分介，从而导出在静态小波域信号的小波系数概率密度函数为pearsoniv型分介，噪声项的小波系数概率密度函数符合pearsonvll分布。
Firstly the phase is extracted from interferogram by filtering and displacing frequency spectrum . then the wavefront and the line integral density are recovered by using fft or polynomial fitting method . lastly the radial local density distribution is calculated from the fitting curve of line integral density by the abel inversion 首先对干涉图进行频谱滤波，用频谱移频法从干涉图中提取相位，然后用快速傅立叶变换或多项式拟合实现波面重建，计算线积分密度，再利用abel积分变换从线积分密度的拟合曲线中反演径向体密度分布。
First . adjust the fiber to get the interferogram , use the four - step phase shifting method control the change of phase , achieve phase shifting . in data processing , take the pzt ' linear influence into account , calibrae the pzt . unwrapping the phase , gain the continuity , get the actual phase . analyzing the data with zernike orthogonal methord , fit polynomials that are not orthogonal over the data points , through visual c + + program , obtain polynomial parameters . calculate the shape of the surface , compare the result with zygo , then achieve the better experimental result 首先，经光纤耦合输出调整得到干涉图，采用四步相移方法，控制干涉图位相变化，实现相移；数据处理过程中，考虑压电陶瓷的非线性影响，进行标定；对位相进行模式展开连续性处理，得到实际位相；用zernike多项式正交化方法分析，在离散点上处理数据，经visualc + +程序设计，得到多项式系数，计算出面形分布，同zygo所得结果进行比较。
Moreover , we put forward many schemes to erase errors such as static error , dynamic error , or make them little . especially we dicuss how to deal with the phase - shifting cell ( pzt ) and interferogram . in the end we bring forward two methods to estimate the contour of piano : one is traditional parameter , the other is power spectral density ( psd ) 提出从两方面对面形进行评价，一是用传统光学像质评价指标，二是利用psd从频谱角度评价面形，从而为高精度检测和控制大口径光学元件表面面形(波前)提供了依据。
5 ) the atmospheric noise of interferogram is a fractal process , whose spatial spectrum exhibits the characteristic - 8 / 3 powder law behavior associated with turbulence phenomena . the effects of this 1 / / process to insar dem were anylysised and the error power of noise and atmospheric term were estimated for weighted combination of multi - temporal insar data . the test results showed this data fusion process can improve the accuracy of insar dem 引i ’涉图的大气噪声为一分形过程，其空间谱表现为与涡流现象有关的8 3幂函数特性， l人气过程和噪声对利用干涉数据提取的dem精度有很大影响，利用不同时相的dem ，在小波域中估计大气和噪声的误差功率，并在此基础上对dem进行了权重融合，实验结果证明，此数据融合方法可以很好的提高干涉sar所提取的dem的精度。
Third , a very useful colored cfi - interferometry is developed . as the result of the presence of shockwaves , or because of the spots of light , scattering , diffraction and other phenomena hiding the information searched in the experiment , discontinuities of the fringes are found in the interferogram of high - velocity gas flows . colored cfi - interferometry is a powerful tool to overcome these problems 对于含激波的干涉图的处理一直是个难题，试验干涉图在密度梯度很大的地方即使放大图像也不满足采样条件，使通过干涉条纹的连接很难判断，无论是用条纹位移法还是相位主值解调法都很难进行处理，通过彩色计算干涉技术可以帮助判断试验干涉图中过激波条纹的连续性。
