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We discuss the structure condition and sampling condition of wavelet transform profilometry (WTP) based on dual-frequency fringe pattern in this work. In the mentioned method a grating fringe with dual-frequency components is projected onto an object. And two wavelet ridge lines can be extracted by means of wavelet analysis, from which we can calculate two groups of wrapped phase information. Afterwards the retrieved phase with higher precision can be obtained through phase unwrapping process. However, it should be noted that the spectral aliasing of the deformed fringe pattern must be avoided in order to restore the correct phase information. And the two fringe carrier frequencies have to obey some rules as well. In this paper, the structure condition and sampling condition of the proposed method is deduced from the point of view of frequency analysis. It is proven that there would be no frequency overlapping in the deformed fringe pattern only when both of the two conditions mentioned previously are fulfilled. The results of computer simulations and experiments verify the validity of our theory. 相似文献
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CCD抽样对傅里叶变换轮廓术的影响 总被引:1,自引:0,他引:1
从傅里叶变换轮廓术(FTP)原理入手,分析了傅里叶变换过程中频谱的产生,给出了CCD像元信号强度及其经抽样后的变形条纹的表达式,得出了变形条纹的傅里叶频谱式,其频谱是原连续函数的频谱在频域内的无限重复,即"频谱岛"。频谱中除了基频外,还产生了二级、三级等的高级频谱。给出了抽样条件及满足抽样条件的方法:当抽样频率与光栅基频的比值m>4时可以恢复物体的面形,反之不能;减小抽样间隔可以使m>4。给出了实验结果:当m=2.0883时,物体面形没有恢复;当m=16.6667时,物体面形得到了恢复。实验结果证明了理论分析的正确性。 相似文献
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在传统傅里叶变换轮廓术的研究基础上,本文提出了一种倾斜式测量系统的傅里叶变换轮廓术,该技术放宽了传统傅里叶变换轮廓术测量系统的三个约束条件:CCD成像系统的光轴不需要与参考平面垂直,即有一定的倾斜度;投射系统的出瞳和CCD成像系统的入瞳中心之间的连线不需要与参考平面平行;投射系统的光轴和CCD成像系统的光轴不在同一平面内,且不交于参考平面上一点. 并且通过严格的理论分析,推导出高度与相位之间的关系式,与传统傅里叶变换轮廓术相比较,在保证一定的测量精度的前提下,倾斜式测量系统具有更强的实用性和可操作性.
关键词:
傅里叶变换轮廓术
倾斜式
测量系统
相位 相似文献
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The dual-frequency grating measurement theory is
proposed in order to carry out the measurement of a discontinuous
object. Firstly, the reason why frequency spectra are produced by
low frequency gratings and high frequency gratings in the field of
frequency is analysed, and the relationship between the wrapped-phase and
the unwrapping-phase is discussed. Secondly, a method to combine the
advantages of the two kinds of gratings is proposed: one stripe is
produced in the mutation part of the object measured by a suitable
low frequency grating designed by MATLAB, then the phase produced by
the low frequency grating need not be unfolded. The integer series of
stripes is produced by a high frequency grating designed by MATLAB
based on the frequency ratio of the two kinds of gratings and the
high frequency wrapped-phase, and the high frequency unwrapping-phase
is then obtained. In order to verify the correctness of the
theoretical analysis, a steep discontinuous object of 600×600
pixels and 10.00~mm in height is simulated and a discontinuous object
of ladder shape which is 32.00~mm in height is used in experiment.
Both the simulation and the experiment can restore the discontinuous
object height accurately by using the dual-frequency grating measurement theory. 相似文献
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Phase unwrapping is an interesting yet challenging problem in optical interferometry. In this paper, we limit our interest to unwrapping noisy phase maps as it is a common but difficult task. Our aim is to propose a simple solution to phase unwrapping. We first remove the noise by a novel windowed Fourier transform approach and then use sequential line scanning method for phase unwrapping. This simple approach is verified to be very effective. 相似文献
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A simple phase unwrapping approach based on filtering by windowed Fourier transform: The phase near edges 总被引:2,自引:1,他引:2
A simple phase unwrapping approach based on windowed Fourier filtering (WFF) was proposed recently. In this paper, the effects of the WFF on edges are further investigated, which show that the phase near an edge remains unchanged and no special consideration is needed for the edges. This useful property will be theoretically proven and numerically verified. 相似文献
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In this paper, a filtering technique based upon two-dimensional continuous wavelet transform (2D-CWT) is used to eliminate the low frequency components of fringe patterns. The filtered fringe patterns are subsequently demodulated using a standard Fourier transform profilometry (FTP) algorithm. This image pre-filtering stage improves the noise performance of the FTP algorithm and enables the FTP method to demodulate fringe patterns with larger bandwidths. Also, the 2D-CWT technique reduces speckle noise significantly. Moreover, only a single fringe pattern is required in this technique. The 2D-CWT algorithm is capable of separating low frequency terms from the high frequency terms that contain phase-modulated fringe information, even when both interfere, greatly, in the frequency domain. The proposed algorithm is tested, both via computer simulation and using real fringe patterns. This revealed the robustness of this algorithm and also demonstrably enables the demodulation of a wider range of fringe patterns using the FTP technique. 相似文献
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A simple phase unwrapping approach based on filtering by windowed Fourier transform: A note on the threshold selection 总被引:2,自引:0,他引:2
A simple phase unwrapping approach based on windowed Fourier filtering was proposed recently [K. Qian et al. A simple phase unwrapping approach based on filtering by windowed Fourier transform. Opt Laser Technol 2005;37:458–62]. The windowed Fourier filtering algorithm is an essential ingredient that suppresses the noise effectively and makes the phase unwrapping trivial. This paper adds a note on the threshold selection in the windowed Fourier filtering algorithm. A large interval can be selected as the threshold to obtain almost optimal filtering results. Once the selected threshold is suitable, it is almost optimal. This makes the threshold selection in the windowed Fourier filtering algorithm extremely easy. 相似文献
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3-D profile measurement of a moving object using a novel phase-shifting technique is introduced. Digital gratings with two steps phase-shifting are projected periodically onto a measured object surface. The deformed fringe patterns are captured by a frame CCD camera within a short exposure time. By synchronizing the projector and the CCD camera accurately, there is an overlapping part which is the same part of the object among three neighbouring frames. The length of an overlapping part can be controlled as one third of a frame length. Hence the intensity values at the same surface point modulated by three neighbouring gratings can be obtained, and its phase value can be computed by an improved phase-extracting algorithm. The profile of a specimen is detected by the proposed method. Experimental results demonstrate that this method is effective for the profile measurement of a moving object. 相似文献
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A moderate resolution Fourier transform imaging spectrometer based on a modified Michelson interferometer is presented. The moving part of the interferometer is a moving wedged prism (MWP) instead of a moving mirror. The principle of the interferometer is described and the optical path difference as a function of the displacement of the MWP is calculated. Theoretical calculation and analysis are presented for the two moveable directions (hypotenuse and right angle side) of the MWP. The modified Michelson interferometer is not so sensitive to the non-uniform variation of moving speed and the environmental vibrations compared with the conventional Michelson interferometer. It is compact and has a large numerical aperture. The interferometer facilitated by CCD camera and the accompanying digital hardware and software are becoming the imaging spectrometer with moderate resolution is applicable in ultraviolet-infrared region. 相似文献
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M. A. El-Morsy T. Yatagai A. A. Hamza M. A. Mabrouk T. Z. N. Sokkar 《Optics and Lasers in Engineering》2002,38(6):509-525
Automatic fringe pattern analysis is a powerful and inexpensive digital image-processing technique. It is used to analyze the fringe pattern obtained by different optical techniques, such as multiple-beam Fizeau fringes. To perform accurate and fast automatic measurement of fiber refractive index profile, phase analysis method has been used with the Fourier transform technique. In this paper, the refractive index profiles of polyethylene fibers with different draw ratios are presented by two methods, fringe shift method and phase analysis method. A comparison between the results obtained is presented. 相似文献
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Measurement of sound intensity using a single moving microphone 总被引:1,自引:0,他引:1
A method for measuring sound intensity by using a single moving microphone is proposed. Experiments that confirm the validity of this method are reported and the advantages and disadvantages of the method are discussed. 相似文献
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In this work, a robust method for moving object detection in thermal video frames has been proposed by including Kullback–Leibler divergence (KLD) based threshold and background subtraction (BGS) technique. A trimmed-mean based background model has been developed that is capable enough to reduce noise or dynamic component of the background. This work assumed that each pixel has normally distributed. The KLD has computed between background pixel and a current pixel with the help of Gaussian mixture model. The proposed threshold is useful enough to classify the state of each pixel. The post-processing step uses morphological tool for edge linking, and then the flood-fill algorithm has applied for hole-filling, and finally the silhouette of targeted object has generated. The proposed methods run faster and have validated over various real-time based problematic thermal video sequences. In the experimental results, the average value of F1-score, area under the curve, the percentage of correct classification, Matthew’s correlation coefficient show higher values whereas total error and percentage of the wrong classification show minimum values. Moreover, the proposed-1 method achieved higher accuracy and execution speed with minimum false alarm rate that has been compared with proposed-2 as well as considered peer methods in the real-time thermal video. 相似文献
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Optical fringes with a quadratic phase are often encountered in optical metrology. Parameter estimation of such fringes plays an important role in interferometric measurements. A novel method is proposed for accurate and direct parameter estimation using the fractional Fourier transform (FRFT), even in the presence of noise and obstacles. We take Newton׳s rings fringe patterns and electronic speckle pattern interferometry (ESPI) interferograms as classic examples of optical fringes that have a quadratic phase and present simulation and experimental results demonstrating the performance of the proposed method. 相似文献
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A two-beam laser triangulation method has been proposed to measure the position of a moving object. The method uses two parallel laser beams to judge the moving direction of an object, allowing us to track it and measure its positions. An uncertainty of 0.2 mm for a measurement range of 50 mm has been obtained. This tracking measurement capability is useful in the calibration of the position of a moving robot arm. 相似文献
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本文应用光线矩阵方法,分析一般的非对称系统,导出了该系统的傅里叶变换条件;考虑到定位误差,文中给出了计算夫琅和费和傅里叶变换有效区域和物理焦深区的公式;并得出了在不同波面入射光波的情况下,谱面移动量的计算公式,最后给出了二个应用实例。 相似文献