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小波变换轮廓术在双频光栅条纹中的应用 总被引:2,自引:2,他引:0
为了解决非连续物体三维面形测量中所存在的非连续相位解包问题,采用计算机生成的两频率之比为一无理数的电子光栅作为空间载频光栅条纹投影到待测物体表面。另外结合伽博小波变换分析的相位解调原理,在一幅变形双频光栅图像中分析得到两个频率各自所对应的包络相位分布,并且应用钟金钢等所提出的双频条纹查表法进行解包得到确定的调制相位分布。提出的双频光栅-小波变换-查表相位解包法很好地解决了傅里叶变换轮廓术,以及连续相位解包法在非连续物体三维面形测量中所存在的问题。给出了详细完整的理论推导过程、计算机模拟以及实验验证,证实了该方法的可行性。 相似文献
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提出了一种利用二维窗口傅里叶变换从径向剪切干涉条纹中准确得到波前的重建技术。首先对剪切干涉条纹做二维窗口傅里叶变换,设置阈值和频率积分范围后,进行二维窗口傅里叶逆变换,然后对包裹相位做去载频和相位展开处理得到相位差分布,最后使用波前迭代算法从相位差中复原实际波前。模拟计算表明,使用该方法最大相位复原误差为0.82%,均方根值为0.020 9 rad,实验结果验证了该方法的有效性。同时也对窗口傅里叶变换的关键参数,如窗函数的选择、窗口大小的确定以及阈值的选取等进行了简要讨论。与传统傅里叶变换法(FFT)相比,基于窗口傅里叶变换的剪切干涉波前检测法有更高的精度和稳定性,为波前检测提供一种新的处理方法。 相似文献
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基于S变换的改进窗口傅里叶三维测量法 总被引:2,自引:0,他引:2
讨论了一维S变换在处理条纹图中的应用,推导了S变换表达式,提出一种基于S变换脊的自适应窗口傅里叶三维测量法。利用S变换对于频率的敏感性以及S变换脊思想,求得任意点的瞬时频率。推导了在相位跳变剧烈区域相位二阶导φ″(b)对S变换脊的影响,并求得去除此影响后更为准确的瞬时频率。然后将瞬时频率倒数作为经典窗口傅里叶变换(WFT)的窗口大小,解出条纹图的精确相位。最后对去除相位二阶导影响前后基于S脊的WFT进行对比仿真;实验验证其与传统基于小波脊的WFT在抗噪声、解相位精度上的优势。 相似文献
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《光学技术》2013,(4):331-338
S变换可以看作是介于小波变换与窗口傅里叶变换之间的变换,具有很强的时频分析能力,它将一维信号变换为时间(空间)和频率的函数,称为瞬时S变换谱,在沿窗口移动方向上,S变换谱的叠加可得到全局信号的傅里叶频谱。在S变换用于条纹解调时,局部基频的正确提取是确保获得全局信号基频分量的关键。为此研究了不同的滤波过程对S变换解调条纹相位的影响,利用不同的滤波器,在对局部S频谱进行加权滤波后,叠加局部基频,得到全局基频分布,然后再利用逆傅里叶变换获得条纹的相位分布,从而重建被测物体的面形。讨论了阈值滤波、平顶高斯和平顶汉宁滤波、"脊"线拟合后的平顶高斯和平顶汉宁滤波在S变换轮廓术中的应用,通过计算机模拟和实验,初步对比了滤波效果。 相似文献
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一种基于傅里叶变换的分析载波条纹的新方法 总被引:1,自引:0,他引:1
针对传统傅里叶变换法处理光载波干涉条纹图时会有边缘效应产生的问题,提出了一种基于傅里叶变换法的外推延拓方法,并从理论上进行了数学推导。为了验证这种方法的正确性,分别对一维数字信号和二维空间载波条纹图进行了数值模拟,进一步分析了误差产生的原因,并与传统的傅里叶变换法对比。结果表明该法可以有效抑制传统傅里叶变换法处理光载波干涉条纹图时边缘效应所造成的较大误差,在基于空间域相位调制技术的波面干涉测量中,对空间载波条纹图进行处理,可以使相位的计算精度达到3.3 mrad。 相似文献
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对比研究了CCD非线性对小波变换轮廓术和傅里叶变换轮廓术的影响,并从信号频域角度分析推导出考虑CCD非线性时,变形条纹的小波变换的频谱描述形式,得到了"脊"处小波系数的解析表达式。处理由CCD非线性引起的非完善的条纹图时,采用小波变换轮廓术提取相位,实质是采用最佳的加权滤波窗口,这样能减弱CCD非线性引起的频谱混叠对测量的影响,可以得到比傅里叶变换轮廓术更稳定的恢复效果。计算机模拟验证了此结论的正确性。 相似文献
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《中国光学与应用光学文摘》2006,(1)
TB922006010673自适应窗口傅里叶变换三维面形检测技术=3D measure-ment techniques using adaptive window Fourier transform[刊,中]/郑素珍(四川大学光电科学技术系.四川,成都(610064)),陈文静…∥光电工程.—2005,32(9).—51-54通过小波脊变换,得到局部条纹的最佳变换窗口,在傅里叶变换三维测量时,可以保证窗口尺寸随变形条纹频率变化而自动调整。实验研究表明,此方法克服了窗口傅里叶变换空间-频率分辨率无法调整的问题,可以最大限度地抑制变形条纹的频谱混叠,准确地提取基频信息,大大地提高了测量精度,误差范围由-2~8mm降低为-1~1mm… 相似文献
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A novel two-dimensional (2D) Gabor continuous wavelet transform (CWT) for phase retrieval and fringe filtering of speckle fringe patterns with spatial carriers is proposed. Theoretical analysis of 2D Gabor CWT is presented and results are compared with advanced fan 2D CWT using both the computer simulated and experimental speckle fringe patterns. It is shown that noise reduction by 2D Gabor CWT demonstrates better results than that of the advanced fan 2D CWT. Two-dimensional Gabor CWT is also compared with 2D Fourier transform and results show that 2D Gabor CWT algorithm has better noise immunity. 相似文献
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子波变换是光信息处理中的一个重要工具,与常用的傅里叶交换和Gabor变换相比,在分析瞬态信号方面有很多优点。此文详细介绍子波变换的基本原理以及如何用光学方法实现子波变换,揭示其在光信息处理方面的应用前景。 相似文献
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Application of wavelet transform to 3D shape measurement 总被引:1,自引:0,他引:1
A new method for analyzing the phase distributions of deformed grating images on the surface of three-dimensional (3D) object to obtain its shape information has been presented. In the conventional technique, Fourier transform profilometry (FTP), there is an intrinsic problem of extracting the fundamental frequency component if the deformation of the grating pattern is either considerable or complicated, which will definitely bring bad influence to the analysis' accuracy. That means FTP is not appropriate to deal with the complex surfaces of 3D objects. The approach that we here introduce to solve this problem is to utilize Gabor wavelet transform (GWT), a tool excelling for its multiresolution in time-frequency domain, to analyze the phase distributions. 相似文献
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A two-dimensional multiscale windowed Fourier transform (2D-MWFT), based on two-dimensional Gabor wavelet transform (2D-GWT), for the phase extraction from a spatial fringe pattern in fringe projection profilometry is presented. First, the instantaneous frequencies on x and y direction of the modulated fringe pattern are determined by 2D-GWT, and then the local stationary lengths are obtained. The 2D-MWFT with different two-dimensional Gaussian windows whose width is set according to the local stationary length is preformed for each section of the modulated fringe pattern to achieve multiresolution analysis and phase demodulation. Comparing the result of the phase demodulated by 2D-GWT and two-dimensional windowed Fourier transform (2D-WFT) with that by 2D-MWFT in a numerical simulation, we show that the 2D-MWFT method is superior to these methods, especially for the local non-stationary signal with low frequency. The theory and the results of a simulation and experiment are shown. 相似文献
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S. V. Bozhokin 《Technical Physics》2012,57(7):900-906
An analytic expression for a continuous wavelet transform (CWT) is obtained for a nonstationary signal with spectral properties varying with time. As a model of the nonstationary signal, a superposition of elementary nonstationary signals is considered, each of which is the product of the Gaussian-shape envelope and an oscillating function. To obtain the CWT, the mother Morlet wavelet is used. The result is compared with the window Fourier transform (Gabor transform).The advantages of the CWT are illustrated by concrete examples. The applications of the exactly solvable model of nonstationary signals for simulating transient processes in physics are considered. 相似文献
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I. Simonovski 《Journal of sound and vibration》2003,264(3):545-557
This paper deals with certain properties of the continuous wavelet transform and wavelet functions. The norms and the spreads in time and frequency of the common Gabor and Morlet wavelet functions are presented. It is shown that the norm of the Morlet wavelet function does not satisfy the normalization condition and that the normalized Morlet wavelet function is identical to the Gabor wavelet function with the parameter σ=1.The general harmonic wavelet function is developed using frequency modulation of the Hanning and Hamming window functions. Several properties of the general harmonic wavelet function are also presented and compared to the Gabor wavelet function. The time and frequency spreads of the general harmonic wavelet function are only slightly higher than the time and frequency spreads of the Gabor wavelet function. However, the general harmonic wavelet function is simpler to use than the Gabor wavelet function. In addition, the general harmonic wavelet function can be constructed in such a way that the zero average condition is truly satisfied. The average value of the Gabor wavelet function can approach a value of zero but it cannot reach it.When calculating the continuous wavelet transform, errors occur at the start- and the end-time indexes. This is called the edge effect and is caused by the fact that the wavelet transform is calculated from a signal of finite length. In this paper, we propose a method that uses signal mirroring to reduce the errors caused by the edge effect. The success of the proposed method is demonstrated by using a simulated signal. 相似文献
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Takaaki Musha 《Applied Acoustics》2004,65(7):705-718
To overcome the disadvantage of short time Fourier transform, the wavelet transform, which is very promising for analyzing non-stationary signals, was introduced by J. Morlet. In this paper, a new numerical calculation method for estimating the instantaneous radiation pattern by using the harmonic wavelet transform for a rectangular vibrating plate is presented. 相似文献
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基于Gabor小波纹理特征的目标识别新方法 总被引:7,自引:2,他引:5
给出了一种基于Gabor小波纹理特征的目标识别新方法.主要是利用Gabor小波设计了一种多通道小波滤波器。对图像目标直接进行小波变换,用Gabor小波变换系数的模的平均值和其标准方差来表示抽取的图像目标的特征,把获得的小波特征归一化后输入到改进的BP神经网络分类器进行分类识别.最后。进行了一系列的仿真实验,结果表明,这种特征提取方法能有效提取图像目标纹理特征,并且对噪音和形状的变化具有鲁棒性.在应用于目标识别时,神经网络的训练时间减少到lOmin,识别率达到94%. 相似文献