数字图像相关方法中散斑图的质量评价研究

在利用数字图像相关方法测量物体表面变形时,被测物体表面必需覆盖有灰度随机分布的散斑场,该散斑场作为试件表面变形信息的载体随试件一起变形。在实际情况下,不同的散斑场会显示出完全不同的灰度分布特征,并对数字图像相关方法的测量结果有着重要影响。因此如何定量评价散斑图的优劣是数字图像相关方法中一个重要的基本问题,也是该方法的使用者非常关心的问题。基于最近数字图像相关方法基本理论研究的进展,本文提出平均灰度梯度这一新参数用于散斑图质量的评价。为证实该参数的有效性,本文对五幅明显不同的散斑图进行了精确平移,并将数字图像相关方法测量的位移与预加的平移量进行比较,分析了位移测量结果的均值误差和标准差。结果显示位移测量结果的均值误差和标准差均与散斑图的平均灰度梯度有关,一个好的散斑图应该具有较大的平均灰度梯度。     

散斑图像相关数字技术原理及应用

研究图像处理技术在散斑测量中的应用，提出了一种散斑图像相关数字技术，该方法引进了亚像素技术，采用重心算法计算特征斑的重心，避免了数字散斑相关法计算相关系数的繁复过程；应用位移和应变的有关公式，可以获得物体变形实验曲线，实验结果表明，该方法在工程实际现场、振动过程以及变形测量的自动化等方面有着广泛的应用潜力，从而为光测力学拓展应用领域、实现自动化测量展现了新的前景。     

Fractal Pattern for Multiscale Digital Image Correlation

Background:

Digital Image Correlation (DIC) is based on the matching, between reference and deformed state images, of features contained in patterns that are deposited on test sample surfaces. These features are often suitable for a single scale, and there is a current lack of multiscale patterns capable of providing reliable displacement measurements over a wide range of scales.

Objective:

Here, we aim to demonstrate that a pattern based on a fractal (self-affine) surface would make a suitable pattern for multiscale DIC.

Methods:

A method to numerically generate patterns directly from a desired auto-correlation function is introduced. It is then enhanced by a Mean Intensity Gradient (MIG) improvement process based on grey level redistribution. Numerical experiments at multiple scales are performed for two different imposed displacement fields and results for one of the patterns generated are compared with those obtained for a random pattern and a Perlin noise one.

Results:

The proposed pattern is shown to lead to DIC errors comparable to those found with the two others for the first scales, but has much greater robustness. More importantly, the pattern generated here exhibits stable errors and robustness with respect to the scale whereas these two outputs become significantly degraded for the other two patterns as the scale increases.

Conclusions:

As a result, scale invariance properties of the pattern based on fractal surfaces correspond to scale invariance in DIC errors as well. This is of great interest regarding the use of such patterns in multiscale DIC.

     

数字剪切散斑相关条纹图的形成及其分析

本文提出了用线性相关计算形成高可见度的数字剪切散斑相关条纹图的方法，为相关条纹图的自动分析奠定了良好的基础。文中还推导了附加位相与物光反射镜转角的关系，使精确地计算附加位相成为可能。同时还介绍了任意附加位相的三步相移技术。最后给出了用线性相关计算法形成的相关条纹图及计算出的位相图。     

数字图像相关的噪声导致系统误差及散斑质量评价标准

数字图像相关中散斑质量评价标准应该综合考虑系统误差和随机误差的作用。之前的工作考虑了无图像噪声情况下插值引起的系统误差,本文则进一步研究了有图像噪声情况的系统误差,并与随机误差综合考虑提出了完善的散斑质量评价参数。本文推导了有噪声情况下系统误差的解析形式,揭示了噪声引入系统误差产生的内在本质在于插值引起噪声不确定性对亚像素位置的依赖。依据理论分析,插值噪声耦合函数的概念被引入,它由插值基函数平移平方和的斜率决定,表征了噪声引入系统误差随亚像素位置的变化。插值耦合函数将之前的研究成果纳入统一的理论体系,并从本质上解释了高阶B-样条插值对应的噪声引起系统误差较小的现象。数值模拟与本文的理论分析显示一致,在真实的亚像素平移实验验证中,本文将公式推广到非均匀噪声情况,并与实验结果获得了较好的吻合。基于对系统误差的理论分析,综合考虑系统误差和随机误差影响,提出了两种计算误差评估参数:总误差的最大值和平方平均值,并提出了快速估计算法且通过数值模拟进行了验证。计算误差评估参数实际也是一种散斑质量评价参数,提出的评估参数弥补了现存散斑质量评价参数未足够考虑插值影响的缺陷,是更完善的散斑质量评价标准。本文应用新提出的散斑评价参数对一些常见散斑图进行了评价,并将其用于对模拟散斑图的优化。     

Modal Analysis Using a Virtual Speckle Pattern Based Digital Image Correlation Method: An Application for an Artificial Flapping Wing

Experimental Mechanics - A conventional three-dimensional digital image correlation (DIC) based on painted speckle patterns has been used widely as a non-contact measurement method to study modal...     

Dynamic Subsurface Deformation and Strain of Soft Hydrogel Interfaces Using an Embedded Speckle Pattern With 2D Digital Image Correlation

Background

Subsurface mechanisms can greatly affect the mechanical behavior of biological materials, but observation of these mechanisms has remained elusive primarily due to unfavorable optical characteristics. Researchers attempt to overcome these limitations by performing experiments in biological mimics like hydrogels, but measurements are generally restricted due to the spatio-temporal limitations of current methods.

Objective

Utilization of contemporary 3D printing techniques into soft, transparent, aqueous yield-stress materials have opened new avenues of approach to overcoming these roadblocks. By incorporating digital image correlation with such 3D printing techniques, a method is shown here that can acquire full-field deformation of a hydrogel subsurface in real-time.

Methods

Briefly, the method replaces the solvent of a transparent and low polymer concentration yield-stress material with an aqueous hydrogel precursor solution, then a DIC speckle plane is 3D printed into it. This complex is then polymerized using photoinitiation thereby locking the speckle plane in place.

Results

Full-field deformation measurements are made in real-time as the embedded speckle plane (ESP) responds with the bulk to the applied load. Example results of deformation and strain fields associated with indentation, relaxation, and sliding contact experiments are shown.

Conclusions

This method has successfully observed the subsurface mechanical response in the bulk of a hydrogel and has the potential to answer fundamental questions regarding biological material mechanical behaviors.

     

A q-Factor-Based Digital Image Correlation Algorithm (qDIC) for Resolving Finite Deformations with Degenerate Speckle Patterns

Digital image correlation (DIC) has become a widely utilized non-contact, full-field displacement measurement technique for obtaining accurate material kinematics. Despite the significant advances made to date, high resolution reconstruction of finite deformations for images with intrinsically low quality speckle patterns or poor signal-to-noise content has not been fully addressed. In particular, large image distortions imposed by materials undergoing finite deformations create significant challenges for most classical DIC approaches. To address this issue, this paper describes a new open source DIC algorithm (qDIC) that incorporates cross-correlation quality factors (q-factors), which are specifically designed to assess the quality of the reconstructed displacement estimate during the motion reconstruction process. A q-factor provides a robust assessment of the uniqueness and sharpness of the cross-correlation peak, and thus a quantitative estimate of the subset-based displacement measure per given image subset and level of applied deformation. We show that the incorporation of energy- and entropy-based q-factor metrics leads to substantially improved displacement predictions, lower noise floor, and reduced decorrelation even at significant levels of image distortion or poor speckle quality. Furthermore, we show that q-factors can be utilized as a quantitative metric for constructing a hybrid incremental-cumulative displacement correlation scheme for accurately resolving very large homogeneous and inhomogeneous deformations, even in the presence of significant image data loss.     

Embedded Digital Speckle Pattern Interferometry for Three-dimensional Strain Analysis

The extension of Digital Speckle Pattern Interferometry to three-dimensional cases poses new challenges from both the practical and the theoretical points of view. In the present research, a scattering surface was created within a transparent Plexiglas specimen with the aid of atomized aluminum particles, and strain was measured in the interior plane. Test specimen configurations included a beam in bending and a disc in diametral compression. The tests on the beam in bending showed excellent agreement between Embedded DSPI results and resistance strain gages. However, for the disc in compression, large discrepancies were found. The main source of errors was identified in the effect of the refractive index gradient. Based on the assumption that the index of refraction changes proportionally to the local dilatation, the error was calculated and the predicted results were ultimately in good agreement with the DSPI data. In conclusion, the Embedded DSPI technique was found to be a viable tool for direct experimental strain investigation of complex 3-D cases.     

变形测量中的数字散斑相关搜索方法

本文用仿射变换阐述了数字散斑相关方法的基本原理,通过分析散斑位移及其导数对物体变形前后散斑图的相关性的影响,对相关算法作了简化,提出了相关搜索方法.典型的实验证实了该方法的可行性,同时就散斑颗粒尺寸、子区大小对相关识别的影响等问题进行了讨论,初步给出了相关计算的有关最佳参数.     

白光散斑相关法多尺度分析Portevin-Le Chatelier剪切带变形

在适当的温度、应变率或预变形下,合金材料的拉伸试验中,将会出现伴随雪崩式剪切变形带的锯齿形塑性失稳、即PLC(Portevin-Le Chatelier)效应。本文利用图像相关求位移场的方法,对恒定加载应变率下(10-4/s),拉伸铝合金(A2017)试件时出现的PLC效应从宏观剪切带变形到微观晶粒变形等多尺度进行了观察和定量化的分析。通过对PLC效应发生时采集的试件表面的白光散斑图进行相关运算,得到试件表面剪切变形区域各点的精细位移,并在此基础上计算出剪切带区域的应变分布及剪切带的宽度。实验结果显示,当PLC效应发生时,剪切带区域的应变曲线呈台阶型,带的前后边缘应变梯度较大,中间近似呈平台状,带外区域应变值接近零,塑性拉伸变形主要集中在带内。     

Assessment of Digital Image Correlation Measurement Errors: Methodology and Results

Optical full-field measurement methods such as Digital Image Correlation (DIC) are increasingly used in the field of experimental mechanics, but they still suffer from a lack of information about their metrological performances. To assess the performance of DIC techniques and give some practical rules for users, a collaborative work has been carried out by the Workgroup “Metrology” of the French CNRS research network 2519 “MCIMS (Mesures de Champs et Identification en Mécanique des Solides / Full-field measurement and identification in solid mechanics, http://www.ifma.fr/lami/gdr2519)”. A methodology is proposed to assess the metrological performances of the image processing algorithms that constitute their main component, the knowledge of which being required for a global assessment of the whole measurement system. The study is based on displacement error assessment from synthetic speckle images. Series of synthetic reference and deformed images with random patterns have been generated, assuming a sinusoidal displacement field with various frequencies and amplitudes. Displacements are evaluated by several DIC packages based on various formulations and used in the French community. Evaluated displacements are compared with the exact imposed values and errors are statistically analyzed. Results show general trends rather independent of the implementations but strongly correlated with the assumptions of the underlying algorithms. Various error regimes are identified, for which the dependence of the uncertainty with the parameters of the algorithms, such as subset size, gray level interpolation or shape functions, is discussed.     

数字散斑相关技术进展及应用

数字散斑相关技术是廿世纪末发展的一项光力学测量技术,历经20年各国学者的研究改进积累,目前已成为一种成熟的测量方法,并已成功地应用于力学测量中。本文回顾和叙述了这些进展,并列举在各方面的应用实例以进一步扩展其应用领域。数字散斑相关技术的八个关键问题即1.相关公式,2.搜索技术,3.亚像素搜索,4.散斑图,5.减噪,6.补偿技术,7.位移场至应变场转换,8.三维位移场测量。最后将叙述数字相关技术在材料测试、结构模型及实物监测、岩石力学、复合材料性能研究、生物力学等方面的广泛应用情况。     

用数字散斑相关法研究聚氨酯泡沫塑料的压缩力学性能

提出了一种改进的数字散班相关计算方法，使其能直接进行应变迭代，灵敏度可达１０００με，并对它进行了验证试验。对于两种不同密度的聚氨酯泡沫塑料，采用改进的数字散斑相关法对其压缩力学性能进行了测试，得到了其应力——应变关系及弹性模量等力学参数。     

扫描电镜下的数字散斑相关方法及其应用

对数字散斑相关方法(digital speckle correlation method,DSCM)在扫描电镜(scanningelectron microscope,SEM)下的应用进行了研究。将DSCM与带电液伺服试验系统的SEM结合起来,对二者结合的过程进行了分析,实现了SEM下细微观变形场的测量,扩展了DSCM和SEM的应用范围。为了定量地把握SEM在扫描图像时放大倍数的不稳定性、非线性和内部噪声对DSCM的影响,还对SEM下的DSCM精度和误差进行了实验分析。统计结果表明,SEM下应用DSCM进行变形场的测量,其位移测量误差最大可达2像素,其精度可以满足一般变形场测量的需要。作为应用实例,对混凝土试件在SEM下的断裂行为进行了研究,得到了混凝土试件表面随着载荷的变化而变化的表面细观变形场。     

Static and Modal Analysis of Low Porosity Thin Metallic Auxetic Structures Using Speckle Interferometry and Digital Image Correlation

This study presents an evaluation of the static and dynamic mechanical behavior of low porosity, ductile two-dimensional auxetic metamaterials. The full in-plane displacement fields and the eigenmodes of different geometric structures were investigated and compared with finite element simulations using speckle interferometry and digital image correlation. The results showed strong agreement, validating the theoretical approach used and establishing a method for testing and quantitatively assessing the performance of negative Poisson ratio structures, and metamaterials in general, for different purposes and fields. The findings of this study also increase our knowledge of elastic instabilities in metallic auxetic structures, with further applications in several engineering fields that can benefit from combining the qualities of ductile materials with additional features typical of these smart structures.     

散斑图像相关数字技术在薄壁钢管混凝土长柱变形测量中的应用

薄壁钢管混凝土构件作为新发展的组合构件,对其研究具有非常重要的意义。文中首先介绍了散斑图像相关数字技术的基本原理,然后给出了变形计算公式。为弥补传统测量方法的不足,在薄壁钢管混凝土长柱偏压破坏实验中,引入了散斑图像相关数字技术,对长柱跨中截面的全过程变形(位移)进行了测量,并对测量结果进行了分析与讨论,同时还与传统测量方法所得结果进行了对比分析。实验结果与分析表明:该方法具有较高的精度和工程可用性,可克服传统测量方法中的一些弊端,且对实验设备和测量环境要求不高,很适合现场非接触测量。     

Rapid and Repeatable Fluorescent Speckle Pattern Fabrication Using a Handheld Inkjet Printer

Experimental Mechanics - Compared with regular speckle patterns formed by reflecting the illumination light, fluorescent speckle patterns generated by the emitted light of fluorescent particles...     

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.