应用时域相位解包方法的三维形貌测量系统

设计一套基于时域相位解包方法的三维形貌测量系统 ,克服了传统解包方法中的误差传播效应 ,可以应用于复杂物体表面及复杂环境下的三维形貌测量。由计算机生成光栅并通过液晶投影仪投射到待测物体表面 ,用CCD摄像机采集图像并通过图像采集卡存贮到计算机中进行处理 ,实现了测量的自动化 ,完成一次高精度的测量仅需几秒钟时间。用两个特殊的人头像完成的实验证明了系统的优越性     

A temporal phase unwrapping algorithm for photoelastic stress analysis

Photoelastic stress analysis is a full-field optical technique for experimental stress analysis whose automation has received considerable research attention over the last 15 years. The latest developments have been made possible largely due to the availability of powerful calculators with large memory capacity and colour, high resolution, cameras. A further stimulus is provided by the photoelastic resins now used for rapid prototyping. However, one critical aspect which still deserves attention is phase unwrapping. The algorithms most commonly used for this purpose have been developed in other scientific areas (classical interferometry, profilometry, moiré, etc.) for solving different problems. In this article a new algorithm is proposed for temporal phase unwrapping, which offers several advantages over those used today.     

Iterative two-step temporal phase-unwrapping applied to high sensitivity three-dimensional profilometry

Although temporal phase unwrapping method can be applied to solve some problems to measure an object with steep shapes, isolated parts or fringe undersampling in three-dimensional (3D) shape measurement, it needs to acquire and process a sequence of fringe pattern images which would take much time. Servin et al. proposed a 2-step temporal phase unwrapping algorithm, which only needs the 2 extreme phase-maps to achieve exactly the same results as standard temporal unwrapping method. But this method is only validated by computer simulation, shortage of experimental demonstration, its sensitivity coefficient G is limited, and it cannot be used when the G value is larger. We proposed an iterative two-step temporal phase-unwrapping algorithm which is an extension of Servin׳s method. First, add a fringe pattern with an intermediate sensitivity, project the fringe patterns of different sensitivity onto the tested object’s surface, and collect deformed fringe patterns with a CCD camera. Then we obtain the unwrapped phase with larger sensitivity coefficient G by cascading the sensitivity coefficients. And we derive the initial phase conditions of the 2-step temporal phase unwrapping algorithm. Finally, the experimental evaluation is conducted to prove the validity of the proposed method. The results are analyzed and compared with Servin׳s method. The experimental results show that the proposed method can achieve higher sensitivity and more accurate measurement, and it can overcome the main disadvantages encountered by Servin׳s method.     

Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry

Phase unwrapping is a task common to many applications like interferometry imaging, medical magnetic resonance imaging, solid-state physics, etc. Fourier transform profilometry (FTP) values the height distribution of object, elaborating the interference between a plane reference grating and a deformed object grating. Since the height information is extracted from the phase of a complex function, the phase unwrapping is a critical step of the process. Several unwrapping algorithms are proposed in literature, but applied to measurement technologies different from FTP. The purpose of this paper is to define the performances of eight different unwrapping algorithms applied to FTP optical scan method and to define the best one. The algorithms chosen are: Goldstein's algorithm, quality guided path following method, Mask cut method, Flynn's method, multi-grid method, weighted multi-grid method, preconditioned conjugate gradient method and minimum L_p-norm method. The methods were tested on real images acquired by a FTP scanner developed and calibrated for these experiments. The objects used vary from simple geometries, like planes and cylinders, to complex shapes of common use objects. Algorithms were qualified considering the phase unwrapping errors, execution time and accuracy of the shape of objects obtained from the scan method in comparison with real ones. The results show that quality guided algorithm best fits in FTP application.     

A correlation-based phase unwrapping method for Fourier-transform profilometry

A new phase unwrapping algorithm based on correlation map for Fourier-transform profilometry (FTP) method is presented in this paper. It is a quality-guided phase-unwrapping method. The modulation is used as an effective parameter to indicate the reliability of the fringe image for the quality-guided phase-unwrapping method. A filtering window is introduced to calculate the modulation easily. A correlation-map function is proposed to calculate the reliability of the fringe image and to avoid choosing the width of the window in calculating the modulation. As the value of the correlation-map function is lower in areas of the local shadow and abrupt discontinuity than that in other areas, the correlation-map function is used as a guide to find the optimized phase-unwrapping path. The experimental results show that the method is feasible.     

A method for enlarging absolute phase unwrapping range by active phase setting

An active phase-setting method applied to a frequency-modulated grating is proposed for enlarging the absolute phase unwrapping range. It is found that the absolute phase unwrapping range is related to initial phase of grating. Therefore, the grating is optimized by presetting two different initial phases, which one is constant in frequency-modulation term and the other is related to the ratio of two frequency in linear phase-modulation term. By using absolute phase unwrapping algorithm, which is improved for suiting the new grating, absolute phase unwrapping range successfully is enlarged and achieves the theoretical range. The experimental results show the feasibility and validity of new method.     

基于位相测量轮廓术的三维数字化仪的实验研究

介绍了基于位相测量轮廓术的三维数字化仪的原理和系统结构 ,阐述了一种有效的三维数字化方法。该方法具有精度高、速度快、可实现自动测量等特点。     

基于图像分析技术的实用相位恢复去包裹技术

相位恢复去包裹技术是相移干涉中的重要环节。本文介绍一种去包裹的新算法 ,该算法基于相位连续平滑的特点 ,在传统算法的基础上 ,提出包裹点判断门限的智能确定方法。引入图像分析处理技术 ,以识别并修正传统算法产生的误差点和由于误差点延伸产生的畸变点。应用结果表明 ,此算法不但计算量小 ,速度快 ,而且极大地降低了去包裹操作引起的相位信息变形失真的可能性 ,保证了较高的相位恢复精度。该算法在连续平滑相位相移干涉测量中具有很好的实用性     

最小二乘相位解包络方法

介绍一种最小二乘解相位包络的方法 ,该法的优点在于把图像作为一个整体处理 ,图像上每一个像素点的值由方程唯一确定 ,而且解得的相位图与原包裹的相位图偏差平方加权最小 ,具有局部解相法所不具有的优点。实验证明 ,它能够处理局部处理方法难以解决的相位图 ,并给出几幅实际相位图的处理结果     

Load-stepping photoelasticity: new developments using temporal phase unwrapping

A new approach to load-stepping photoelasticity is presented in which the isochromatic phase is unwrapped between load steps rather than spatially. This is based on the technique known as ‘temporal phase unwrapping’ that has mainly been applied in shape measurement. The potential advantages of temporal phase unwrapping are based on the notion that each pixel is unwrapped independently of its neighbours. The benefits for load-stepping photoelasticity for reducing the effects of measurement error are discussed in this paper. New developments using temporal phase unwrapping are applied to experimental data obtained from a bimaterial interface specimen loaded in three-point bend. The results show that a modified approach to unwrapping significantly reduces the effects of systematic noise present in the data.     

A novel algorithm for branch cut phase unwrapping

Branch cut method is a powerful noise-immune algorithm for correct phase unwrapping of noisy phase maps. The shortest branch cut length promises the optimal unwrapping result of the wrapped phase maps. A new algorithm is proposed to search for the shortest branch cut length by simple exchange operation. Although the algorithm is on the basis of stochastic search techniques, it has a high probability of finding the shortest branch cut length or an approximation of it. Compared with the traditional algorithms, the algorithm is fast and competitive.     

含噪声包裹相位图的加权最小二乘相位展开算法研究

二维相位展开广泛应用在精密光学测量、自适应光学、合成孔径雷达、图像处理等领域中。为处理含噪声包裹相位图,以预条件共轭斜量法求解权重最小二乘相位展开方程。引入非加权二维离散余弦变换求解泊松方程得到的最小二乘相位解作为共轭斜量法的初始解,从而加快了收敛速度,同时提出一种新质量图确定算法求解过程中的权重项。计算机模拟和试验表明算法计算速度快,能有效地消除传统路径积分法在处理信噪比低包裹相位图时的"拉线"现象,是一种有效的相位展开方法。     

Phase locked loop profilometry

An innovative technique for obtaining automatic three-dimensional shape information of a diffuse surface is presented. The technique is based on a new approach of phase measuring from a fringe pattern. The target to be studied is first modulated by projecting a linear grating onto its surface. The linear fringes are deformed according to the surface shape. Demodulation is carried out by determining the phase of these deformed fringes using a novel digital phase locked loop demodulation algorithm. The technique has the main advantage that the traditional phase unwrapping process is not required. The phase is determined continuously as the algorithm scans the two-dimensional fringe pattern. Owing to its sequential nature, this phase detection technique can be implemented using a special purpose video processor for phase determination at video rates, making it a very fast algorithm. The algorithm along with experimental results of real surface profiles are presented.     

Matched data storage in ESPI by combination of spatial phase shifting with temporal phase unwrapping

We combine the spatial phase-shifting technique with the real-time fringe counting capability of temporal phase unwrapping to provide simple solutions for some practical tasks in ESPI. First, we develop a method for automatically matched data storage intervals and apply this technique to a long-term observation of a biological object with strongly varying deformation rate. Second, we easily obtain on-line displacement and deformation data during the observation of a complexly structured discontinuous object.     

基于可靠性的相位去包裹算法

提出了一种新的基于可靠性的相位去包裹算法。采用了队列算法及去包裹可靠性的判别标准。与传统方法相比,能够自动避开噪声区域,解决了相位去包裹中的阴影遮挡以及空洞等问题,克服了传统去包裹方法中的误差传播效应,能准确快速地对全场进行相位去包裹。设计了一套基于此算法的三维形面测量系统。     

基于小波变换的最小二乘相位解缠算法

最小二乘法是求解二维相位解缠问题最稳健的方法之一,其本质是在最小二乘意义下使缠绕相位的离散偏导数与解缠相位的偏导数整体偏差最小,并等效为可求解一大型的稀疏线性方程系统。由于系统矩阵结构的稀疏性,在采用迭代法求解时收敛速度非常慢。为了改善收敛特性,提出一种基于多分辨率表示的离散小波变换相位解缠算法。利用小波变换将原线性系统转化成具有较好收敛条件的等价新系统。仿真实验表明,该方法能够很好的恢复真实相位,其解缠效果优于Gauss-Seidel松弛迭代和多重网格法。     

位相测量轮廓术中的相位修正及系统标定的新方法

介绍了在位相测量轮廓术中的一种相位修正及系统参数标定的新方法。对参考面(标定面)上点的位置_相位关系进行全场拟合,并根据该相互关系对参考面相位进行修正,能够非常有效地去除相位误差;提出的参数标定方法能精确得到投影系统参数的组合。实验证明了此方法具有良好的实用性和测量精度。     

光学投影式三维轮廓测量技术综述

主要用于散射物体的宏观轮廓测量的光学投影式轮廓测量技术可以分为两大类：直接三角法和相位测量法。直接三角法包括激光逐点扫描法、光切法和新近出现的二元编码图样投影法。相位测量法以测量投影到物体上的变形栅像的相位为基础，包括莫尔法、移相法、傅氏变换法等等。本文以基于相位测量和光栅投影法为重点综述了光学投影式轮廓测量技术的几种典型方法，讨论了它们的优缺点，并分析了研究热点和发展方向。     

A study on carrier-removal techniques in fringe projection profilometry

This paper describes a comparison of several carrier-removal techniques normally used in fringe projection for surface shape measurement. The performance of various algorithms, including the necessity for manual intervention, the complexity in data recording, and the side effect on measurement accuracy, is evaluated. The applicability of nonlinear carrier removal and the restrictions on the direction of carrier fringe in various algorithms are also investigated in this paper. It is also shown that an advanced algorithm is able to achieve carrier removal with minimal manual intervention and significantly simplify the calibration process of a fringe projection system.     

Phase unwrapping based on a parallel noise-immune algorithm

A newly developed path-independent phase unwrapping algorithm, which is simple and concise, is presented. The algorithm is based on a parallel elimination of local phase jumps and the subsequent shifts of them, through iterations, to the boundary or to cancel with others in the midway. The number of iterations never exceeds the sum of the width and height of the processed map, whereas for cellular automata algorithm, a multiplier of the cycle of iterations by the proposed algorithm herein is easily needed for successful treatment of a same map. The proposed noise-immune algorithm is applied to a phase map of electronic speckle pattern interferometry (without any filtering work) to prove its effectiveness.