基于透射电镜晶格图像数字云纹的应变测量方法

提出一种通过量化几何转角实现应变测量的数字云纹新方法。该方法以高分辨透射电镜(TEM)获取的晶格图像为基础,通过傅立叶变换-反傅里叶变换,将TEM晶格图像生成三个不同倾角的栅线图。以已知应变状态位置获取的TEM栅线图为参考栅,以所需测量位置获得的栅线图为试件栅,分别对倾角接近的参考栅与试件栅进行逻辑运算,得到各倾角栅对应的数字云纹图像。基于几何云纹基本原理,建立参考栅与试件栅二者之间栅线倾角的变化(即栅线转角θ)、该栅线倾角所对应几何云纹条纹的倾角与栅线间距变化率(即栅线法向应变分量ε)之间的解析关系。计量栅线转角与几何云纹条纹的倾角便能够得到试件栅位置上三个不同方向的正应变,从而实现面内应变各分量的解耦测量。由于本方法获得的是高分辨TEM图像所在位置的应变平均信息,因此具有十纳米量级的空间分辨率。本文采用模拟实验对以上方法的正确性进行了验证,并将其应用于多层异质半导体结构横截面样品的应变分析,并给出了面内应变各分量的细节信息。     

基于锁相循环投影的物体形貌检测

本文提出将相位锁定循环技术应用于栅线投影方法,将规则栅线投影到物体表面得到变形栅线,用相位锁定循环法解调含有物体表面高度信息的位相。用该法不需传统的相位去包裹,即可完成对二维栅线图扫描,从而确定其相位。通过对典型试件的检测,得到了比较满意的结果。     

傅里叶变换投影栅线法测量大物体的变形

本文利用傅里叶变换投影栅线技术对大物体的离面变形进行了测量，分析了大物体的尺寸给测量过程带来的主要矛盾，讨论了方法的灵敏度和精度，用计算机数值模拟技术给出了大尺寸引起的频率变化所带来的误差。结果表明，傅里叶变换投影栅线技术可以用于大尺寸物体离面变形的精确测量。     

用双频栅测三维物体的形状

本文介绍了一种新的相位测量轮廓术，通过使用不同栅距的栅获得两幅包裹相位图，然后比较这两幅包裹相位图，求得物体上任一像素点的绝对相位值，从而确定物体上任一点的高度。这种方法的优点是实验过程简单，精度高，相位的求解在整个过程中是单独进行的，不需借助相邻点，所以求得的相位值是各点的绝对相位，而且它可测量高度上中跳跃的物体的面形。     

铝板中激光Lamb波信号的模态分析与缺陷检测研究

激光激励的Lamb波信号具有较宽的频带,且包含多个模态信息。本文采用二维傅里叶变换和时频分析等信号分析技术用于检测信号中的模态成分及缺陷信息识别。首先,对200组激光Lamb波信号进行二维傅里叶变换,得到信号的频率-波数图,可识别出激光Lamb波信号中的低阶A0、S0和高阶模态,并且A0模态能量高,可用于缺陷检测。随后对有、无缺陷状态下Lamb波信号进行连续小波变换,从时频图中识别出缺陷信号的频率成分,进一步提取特定频率下的小波系数幅值信号,实现了缺陷信息的识别。结果表明,二维傅里叶变换能较好地识别激光Lamb波的模态成分,而提取出的连续小波变换系数图,能准确实现缺陷定位。     

DCM 相位梯度提取技术在光力学图像信息识别中的应用

为解决相位去包裹对光力学图像处理的影响问题,本文将一种直接从数字编码傅立叶变换或相移条纹图中逐相素提取相位梯度的方法应用于光力学图像信息识别中。该方法是一个广泛应用于光纤传感器中的微分正交乘法器(DCM)的正、余弦相位检波技术。这一技术算法简单,不需计算反正切,不受相位去包裹方法标准的限制,非常适于应用在以相位梯度作为最终所需识别的信息的光力学图像处理中。本文以载波等达因条纹图应力场计算及四幅图相移等达因法求板的接触应力为例,对该技术在光力学图像信息识别中的应用进行了论证。     

投影栅相移法中的相位波动误差及修正算法研究

分析了因测量系统非线性响应及局部饱和投影栅图像所导致的相位误差及其波动特性。经过实验验证,四步相移算法在抑制系统非线性响应所引起的相位误差方面优于三步相移算法。通过模拟分析得出,在采用传统相移算法对局部饱和条纹图像分析时,相位误差较大,且相位分布具有周期波动特性。为减小因图像局部饱和而产生的相位误差,文中采用了新的算法提取相位。实验分析结果验证了算法的正确性。     

一种散光图象双折射相移的方法

由Pindera等提出了等达因法导出了平面问题的三个应力分量，可以非破坏性测取受力物体内部的应力状态，是一种有效的光测技术，应力分量与等达因条纹级次的导数相关，为得到具有高测试精度的应力分量在等达因条纹测试中引入了双折射相移技术，文中提出了一种在散光激光入射光路中用加入一可调偏振片和一可调1／4波片实现散光图象双折射相移的方法，该方法设备简单，能保证总体光强的一致性。     

鲤鱼尾鳍实时三维姿态测量及运动特性分析

为了实现鱼鳍三维运动特性的精确测量, 研究尾鳍的动态瞬时特性, 定量分析其连续变化过程, 建立了基于栅线投影和高速摄像的测量系统和与之对应的分析方法. 以自主游动的鲤鱼为实验对象, 将一组正弦光栅投射在其尾鳍表面, 产生包含三维信息的光栅条纹并由高速摄像机实时采集尾鳍摆动过程的序列图像; 对其中的每一帧图像作二维傅里叶变换、频谱滤波、逆傅里叶变换及三维位相展开等处理后, 重建尾鳍的瞬时三维形态, 再现尾鳍的连续运动过程; 据此测量结果分析研究尾鳍的运动特征及运动学参数. 结果表明, 鲤鱼游速为0.5L/s时, 尾鳍的摆动频率为1.42Hz; 鲤鱼巡游过程中尾鳍的主要运动为侧向摆动, 尾鳍的形状周期性地循环外展和内收, 且尾鳍上叶叶尖的平均摆幅比尾鳍下叶叶尖的平均摆幅约大15.6%.      

冻结立井爆破近区井壁振动信号基线漂移校正和消噪方法

冻结立井爆破过程中，近区监测信号中含有的基线漂零及噪声成分对其局部特征精细化提取影响显著。在对近区井壁振动信号有效采集基础上，通过互补总体经验模态分解（complementary ensemble empirical mode decomposition, CEEMD）方法、稀疏化基线估计消噪（baseline estimation and de-noising with sparsity, BEADS）方法和隐马尔可夫模型消噪（hidden Markov model de-noising, HMMD）方法等，解决了信号中基线漂移和随机噪声消除难题，并采用交叉小波变换对校正和消噪效果进行了相关性评价。实例分析结果表明:信号中缓变的基线成分遍历信号各个模态分量的整个过程，且主要集中于低频分量中，而噪声则集中在高频分量。组合分析方法对低频基线漂零和高频噪声的处理效果好，是一种高效且相对保幅的信号分析方法，可用于批量信号数据的预处理过程。     

DIC-Based Surface Motion Correction for ESPI Measurements

Electronic Speckle Pattern Interferometry (ESPI) provides a sensitive technique for measuring surface deformations. The technique involves comparison of the speckle phase angles within surface images measured before and after material deformation. This phase angle comparison requires that the speckle positions be consistent in all images. A lateral shift between image sets of just one pixel substantially degrades ESPI measurements, while a shift of two or more pixels typically causes complete decorrelation and compromises the measurement entirely. To prevent such rigid body motions, the specimen and the optical system must be rigidly fixed. This requirement typically impedes use of the ESPI method in applications outside laboratories or where it is necessary to remove the specimen from the optical setup between ESPI measurements. Here, Digital Image Correlation (DIC) is used to track speckle motion caused by specimen displacement between ESPI phase stepped image sets. The measured image set can then be mathematically shifted to restore the original speckle locations, thereby recorrelating the ESPI measurement. Examples are presented where ESPI measurements are successfully made with specimen shifts over 60 pixels.     

Fourier transform profilometry for water waves: how to achieve clean water attenuation with diffusive reflection at the water surface?

We present a study of the damping of capillary-gravity waves in water containing pigments. The practical interest comes from a recent profilometry technique (FTP for Fourier Transform Profilometry) using fringe projection onto the liquid-free surface. This experimental technique requires diffusive reflection of light on the liquid surface, which is usually achieved by adding white pigments. It is shown that the use of most paint pigments causes a large enhancement of the damping of the waves. Indeed, these paints contain surfactants which are easily adsorbed at the air–water interface. The resulting surface film changes the attenuation properties because of the resonance-type damping between capillary-gravity waves and Marangoni waves. We study the physicochemical properties of coloring pigments, showing that particles of the anatase (TiO₂) pigment make the water surface light diffusive while avoiding any surface film effects. The use of the chosen particles allows to perform space-time resolved FTP measurements on capillary-gravity waves, in a liquid with the damping properties of pure water.     

Application of the Fourier transform in electronic speckle photography

In speckle photograph technology, to determine the displacement of the points on the surface of the measured body, the conventional method is to put the film which has recorded the speckle patterns before and after displacement into a system of optical Fourier transforms. After filtering on the spectrum plane, the experimentalist can obtain the displacement information from the interference pattern on the image plane. Instead of setting up a complex optical Fourier transform system, we consider the speckle field as a light intensity function of 2 dimensions, which will change with different positioning of the points. After working on the function's discrete Fourier transform (DFT), according to one of the properties of Fourier transformation, the displacement of the measured point is involved in the phase of its spectrum. Having extracted the displacement information from the phase, we obtain the distribution of the displacement field. In this paper, we deduce the expression for the displacement field by using Fourier transformation under conditions of both equal and unequal displacement and show their applications.     

基于时域位相分析的云纹法形貌测量技术研究

采用影像云纹法和时域相位分析技术研究了物体形貌测量的新方法.通过研制高精度旋转平台,利用栅线旋转的方式使栅线的空间频率以一定的规律变化,使物体的离面高度与该点的灰度变化率有关.在利用FFT确定灰度变化频率时,采用补零的方法提高了频率的确定精度,从而有效地提高了物面形貌测量的精度.实验发现:当补零倍数达到原始长度的128倍时,使用空间频率为5 l/mm的栅线精度可以达到0.02mm.本文讨论了该方法相关技术参数的选取方法,给出了标定实验和利用该测量系统实际测量门齿生长发育沟的实例,阐述了牙齿表面形貌数字化在牙科修复手术中的意义.通过具体标定过程与应用实例,证明了本文提出的测量方法提高了测量精度,简化了测量过程,在云纹干涉形貌测量领域有了新的突破.     

Digital Image Correlation and Color Cameras

Digital Image Correlation (DIC) is a well-known experimental technique. It works by constructing a (surjective) mapping of pixel intensity from reference to target image, where the mapping parameters are identified using a Least Squares approach. Because it makes use of the luminance component of the image, Digital Image Correlation is usually implemented by assuming monochrome cameras. In this work, we will discuss its implementation when color cameras are used, focusing on pitfalls and potential advantages of this solution. Since most cameras implement color acquisition using a Color Filter Array (CFA), much of the article will focus on this technology. However, we will not limit ourselves to this aspect and will show that Three-CCD cameras can provide significant advantages over both CFA and monochrome cameras.     

UKF在深组合GPS/INS导航系统中的应用

采用联邦滤波的深组合GPS/INS导航系统预滤波器量测模型具有很强的非线性,导致扩展卡尔曼滤波（EKF）的预滤波器估计精度不高。Unscented卡尔曼滤波（UKF）方法是一种非线性分布近似方法,它使用有限数量的sigma点去逼近整个非线性动态系统的分布可能,从而避免了对非线性测量模型进行线性化,具有较高的精度和较好的鲁棒性。在分析深组合导航系统预滤波器模型和UKF原理的基础上,设计了基于UKF滤波算法的预滤波器,对码相位误差、载波相位误差、载波频率误差、载波频率变化率等参数进行估计,同时将UKF和EKF算法进行了仿真比较。结果表明,在深组合导航系统中使用UKF滤波比EKF有更高的导航定位精度。     

A spectral projection method for the analysis of autocorrelation functions and projection errors in discrete particle simulation

Discrete particle simulation is a well‐established tool for the simulation of particles and droplets suspended in turbulent flows of academic and industrial applications. The study of some properties such as the preferential concentration of inertial particles in regions of high shear and low vorticity requires the computation of autocorrelation functions. This can be a tedious task as the discrete point particles need to be projected in some manner to obtain the continuous autocorrelation functions. Projection of particle properties on to a computational grid, for instance, the grid of the carrier phase, is furthermore an issue when quantities such as particle concentrations are to be computed or source terms between the carrier phase and the particles are exchanged. The errors committed by commonly used projection methods are often unknown and are difficult to analyse. Grid and sampling size limit the possibilities in terms of precision per computational cost. Here, we present a spectral projection method that is not affected by sampling issues and addresses all of the above issues. The technique is only limited by computational resources and is easy to parallelize. The only visible drawback is the limitation to simple geometries and therefore limited to academic applications. The spectral projection method consists of a discrete Fourier‐transform of the particle locations. The Fourier‐transformed particle number density and momentum fields can then be used to compute the autocorrelation functions and the continuous physical space fields for the evaluation of the projection methods error. The number of Fourier components used to discretize the projector kernel can be chosen such that the corresponding characteristic length scale is as small as needed. This allows to study the phenomena of particle motion, for example, in a region of preferential concentration that may be smaller than the cell size of the carrier phase grid. The precision of the spectral projection method depends, therefore, only on the number of Fourier modes considered. Copyright © 2008 John Wiley & Sons, Ltd.     

Wavelet spectrum analysis on energy transfer of multi-scale structures in wall turbulence

The streamwise velocity components at different vertical heights in wall turbulence were measured. Wavelet transform was used to study the turbulent energy spectra, indicating that the global spectrum results from the weighted average of Fourier spectrum based on wavelet scales. W＇avelet transform with more vanishing moments can express the declining of turbulent spectrum. The local wavelet spectrum shows that the physical phenomena such as deformation position in the boundary layer, and the or breakup of eddies are related to the vertical energy-containing eddies exist in a multi-scale form. Moreover, the size of these eddies increases with the measured points moving out of the wall. In the buffer region, the small scale energy-containing eddies with higher frequency are excited. In the outer region, the maximal energy is concentrated in the low-frequency large-scale eddies, and the frequency domain of energy-containing eddies becomes narrower.     

Cross Polarization for Improved Digital Image Correlation

Digital image correlation (DIC) is a surface deformation measurement technique for which accuracy and precision are sensitive to image quality. This work presents cross polarization, the use of orthogonal linear polarizers on light source(s) and camera(s), as an effective method for improving optical DIC measurements. The benefits of cross polarization are characterized through quantitative and statistical comparisons from two experiments: rigid body translation of a flat sample and uniaxial tension of a superelastic shape-memory alloy (SMA). In both experiments, cross polarization eliminated saturated pixels that degrade DIC measurements, and increased image contrast, which enabled higher spatial precision by using smaller subsets. Subset sizes are usually optimized for correlation confidence interval (typically with subsets of 21×21 px or larger), but can be decreased to achieve the highest possible spatial precision at the expense of increased correlation confidence intervals. Smaller subset sizes (such as 9×9 px) require better images to maintain correlation within error thresholds. By comparing DIC results from a uniaxial SMA tension test with unpolarized and cross-polarized images, we show that for 9×9 px subsets, the loss of valid DIC data points was reduced almost ten-fold with cross polarization. The only disadvantage we see to cross polarization is the decrease in specimen illumination due to transmission losses through the polarizers, which can easily be accommodated with sufficiently intense light sources. With the installation of relatively inexpensive linear polarizing filters, an optimum optical DIC setup can provide even better DIC measurements by delivering images without saturated pixels and with higher contrast for increased DIC spatial precision.