二阶总广义变分图像放大

提出了一种在相移数字全息中提取相移角的方法.该方法通过在相移数字全息中引入随机相位板对物光波的相位进行调制,使得物光波在全息面上的相位分布成为近似理想的随机分布,进而根据这种随机分布的统计性质对相移角进行提取.计算机模拟结果表明,该方法提取出的相移角与设定的相移角之间的相对误差小于千分之一.同时,经过对比采用随机相位板和不采用随机相位板的计算结果发现,物体衍射光波在全息面上的相位分布具有一定的相关性.     

基于随机相位调制的数字全息相移量提取方法

提出了一种在相移数字全息中提取相移角的方法.该方法通过在相移数字全息中引入随机相位板对物光波的相位进行调制,使得物光波在全息面上的相位分布成为近似理想的随机分布,进而根据这种随机分布的统计性质对相移角进行提取.计算机模拟结果表明,该方法提取出的相移角与设定的相移角之间的相对误差小于千分之一.同时,经过对比采用随机相位板和不采用随机相位板的计算结果发现,物体衍射光波在全息面上的相位分布具有一定的相关性.     

两步相移数字全息物光重建误差分析与校正

系统研究了两步相移数字全息干涉术中相移误差引起的波前再现误差的计算和校正方法. 基于衍射物光相位分布的随机性和振幅相位的相互独立性原理,介绍了相移数字全息中物光波前再现误差的表达形式,推导出步长为π/2的两步算法中物光重建误差的表达式. 通过进一步分析这一重建误差的结构和特点,结合物光表达式,给出了自动校正相移误差引起的波前重建误差的校正方法. 该方法无需增加测量,在未知相移误差大小的情况下,只对标准两步相移算法恢复的物光复振幅进行处理就可以实现对物光振幅和相位的同时校正. 计算机模拟结果表明,校正后可将 关键词： 相移干涉术 数字全息 物光重建 误差校正     

阴影叠栅相移非线性误差补偿算法研究

相移阴影叠栅干涉场的相位(高度)存在非线性关系,而传统的相移阴影叠栅技术往往忽略了相位与高度的非线性关系,从而在测量系统中引入测量误差。对此提出了一种基于迭代相位解调自调算法相移阴影叠栅技术,该方法利用最小二乘技术获得相移量估算值,利用该估算值通过迭代算法消除相移阴影叠栅的全场相位误差,从而得到正确的相位分布。模拟计算表明该方法可以有效解决相移不均产生的相位测量误差问题,且可实现光栅移动量的精确估算,其误差不超过3.4%。对比实验进一步说明了所提出方法的正确性和优越性。     

同步相移数字全息综述（特邀）

相移数字全息技术将相移技术与数字全息技术相结合,为微观物体的三维形貌和折射率分布检测提供了一种快速、无损、高精度手段。与离轴数字全息相比,相移数字全息采用同轴光路,可以充分利用CCD相机的空间带宽积。然而,传统相移数字全息需要依次记录多幅不同相移量全息图,才能消除零级像和共轭像,再现出无混叠的相位/振幅图像。同步相移又称瞬时相移,可在同一时间得到多幅不同相移量的干涉图样,克服普通相移干涉不能实时观测的缺点。介绍了相移的概念和实现方式,基于多CCD记录、像素掩膜、平行分光的三种同步相移技术,对同步相移数字全息在生物医学、流场测量、表面形貌测量、微纳器件检测等领域的应用进行综述,为从事同步相移数字全息技术及其应用研究的学者提供有益参考。     

相移相位测量的全息再现算法及测量误差分析

用全息原理和方法研究相移相位测量,得到了N步整周期相移再现物光波复振幅同步叠加函数(N步相移函数),同时提出一种新的相移相位测量误差分析和最大误差估计方法。N步相移干涉图是以理想平行光为参考光的无衍射同轴全息图,将其与对应的相移参考光相乘后求和得到N步相移函数;在理想情况下,这是一种复振幅分离、测量和物光波复振幅函数同步叠加方法,存在误差时计算出的相位是最小二乘方法的最佳期望结果。利用N步相移函数得到的N 1步相移函数,说明非理想N步相移函数是理想N步相移函数与误差函数之和,可以把相位型误差转化为与振幅和强度相对误差同等的误差来对待,降低了相位测量中误差估计的难度,给出了N步相移算法最大误差的估计方法和公式。     

反射式数字全息显微术对细胞的研究

根据全息理论和光的衍射理论，理论分析了数字全息显微术原理，并依据四步相移和最小二乘相位展开技术，研究了重构细胞相位的方法.设计了用球面光波作为参考光的反射式数字全息显微光路，通过反射式数字全息显微术的方法分析研究了新鲜洋葱表皮细胞的形貌结构.实验以新鲜洋葱表皮细胞为样本，完成了实验检测和相位重构，得到了细胞的相位和三维信息.分析表明，系统理论分辨率应达到0.8 μm.     

数字全息显微术对细胞的研究

通过数字全息显微的方法分析研究了新鲜洋葱表皮细胞的形貌结构. 根据全息理论、光的衍射理论和透镜的相位变换性质,从理论上分析了数字全息显微原理,并依据四步相移和最小二乘去包裹技术,研究了重构细胞相位的方法.分析比较了不同参考光对数字全息显微分辨率的影响,设计了用球面光波作为参考光记录数字全息显微的装置.以新鲜洋葱表皮细胞为样本完成了实验检测和相位重构,得到了细胞的相位和三维信息,并粗略估计了细胞宽度和厚度.系统分辨率达到了1.3 μm.     

高精度全息干涉计量—相移技术的应用

本文介绍了一种精确的全息干涉相位测量系统。采用双曝光、双参考光束,并引入相移技术,能够同时获得全场256×256个点的相位变化值;相位测量的重复性优于2％,全场处理时间少于2分钟。     

数字全息中的自动相位畸变补偿算法

提出一种面向数字全息的相位畸变自动补偿方法,利用图像分割技术对被检测物体进行自动分割,生成相位掩模板,进而得到不含被测物体区域的畸变相位。基于相位畸变校正模型对畸变相位进行最小二乘拟合,最终实现相位畸变的自动补偿。实验中搭建了数字全息检测平台,并对晶圆表面进行测量,结果表明所提出的方法能够实现畸变相位的自动校正。     

用双图全息相移干涉法计算与时间有关的位相分布

提出一种双图全息相移干涉法．该方法可以用来计算与时间有关的位相分布，两幅全息干涉条纹图可以同时得到，并且有固定的９０°位相差．虽然两幅条纹图的位相可以随着时间变化，如环境影响，或载荷变化，但他们之间的位相差恒定．该方法利用二维傅氏变换，结合偏振相移法以及分光技术．     

Dual hologram interferometry

This report describes dual hologram interferometry, a new electro-optic technique used to calculate two-dimensional density distributions from measurable changes in index of refraction. Using this technique, two scenes recorded at different times are stored in separate holograms. One hologram contains reference data depicting the subject in an undisturbed state and the other hologram describes the same subject in a test or disturbed condition. Desired interference patterns are obtained by super-imposing the two separate scenes which are simultaneously reconstructed from each hologram. Specific interferograms, infinite fringe and various finite fringe patterns, are obtained by carefully regulating the optical attitude between the holograms and the reference beam during reconstruction of the scenes. In this project, dual hologram interferometry is used to describe quantitatively free convection from a uniformly heated right circular cylinder. Temperature distributions through the boundary layer and local heat transfer coefficients are determined at different azimuth positions. The results are compared both to experimental data obtained from another holographic technique and to a theoretical prediction of this specific test. This investigation shows that dual hologram interferometry accurately records changes in index of refraction which means the technique can be used to accurately measure experimental fluid flow data.     

Evaluation of absolute phase for 3D profile measurement using fringe projection

A new method of absolute phase evaluation for three-dimensional (3D) profile measurement using fringe projection is presented, which combines the gray code and the phase shift technique. Two kinds of fringe patterns are projected onto the object surface respectively, one is sinusoidal intensity distribution used for phase demodulation and the other is gray code fringe pattern for unwrapping. These images are acquired by camera and stored into computer. The absolute phase is obtained by analyzing these images. The validity of this method is verified experimentally. The method is superior to other phase unwrapping methods.     

Reference fringes in holographic interferometry

This paper describes the application of reference fringes in double exposure holography of transient phase objects. This includes selection of fringe patterns and fringe number densities suitable for the quantitative analysis of the hologram. Methods of realizing different reference fringe patterns are presented. As the focus of the interference fringes depends on the optical arrangement, different systems are discussed.     

A two-dimensional fast Fourier transform method for measuring the inclination angle of parallel fringe patterns

In this paper we describe a technique based on two-dimensional fast Fourier fringe pattern analysis for the automated evaluation of the inclination angle of parallel fringe patterns. Analysis of noise-free theoretical parallel fringe patterns is presented and numerical results of the angle evaluation error using this algorithm are discussed. We also demonstrate an application of the method to the measurement of the inclination angle of experimental parallel fringe patterns.     

A role of fringe pattern catalogue in the course of interferometrically based determination of residual stresses by the hole-drilling method

A further development of the technique for residual stresses determination in thick-walled structures, which is based on a combination of the hole-drilling method and reflection hologram interferometry, is presented. A plane specimen welded from two equal parts of dimensions 130×80 mm² in plane and thickness 12 mm is the object of investigation. Weld seam is performed along the shortest side of the specimen. Residual stress field of interest is formed by a superposition of initial welding-induced field and secondary stress field caused by plastic deformation of the specimen. A set of actual fringe patterns, which corresponds to a wide variety of residual stress components both ratio and sign, are reconstructed and presented as illustrations. A series of reference fringe patterns is simulated for the most typical cases inherent in residual stress field under study. It is shown that actual interferograms obtained belong to three main groups depending on a typical form of fringes configuration. On this base the main principles of creating the general catalogue of fringe patterns are established and the first version of this catalogue, which is related to reflection hologram interferometry, is developed. A structure of the catalogue that consists of both actual interferograms and reference fringe patterns is described. Possible ways of further catalogue completing and its direct implementing in the course of quantitative determination of residual stresses are discussed. It is shown that both experimental and numerical data aggregated into the first version of the catalogue can be effectively used for a verification of various coherent optics techniques with respect to a determination of residual stress components by means of hole drilling. An analysis of capabilities of reflection hologram interferometry in the field of residual stresses determination comparing with dual-beam speckle-interferometric techniques is presented. Superimposed residual stress field is quantitatively described in detail for both specimen sides of dimensions 260×80 mm². It is shown that fine nuances inherent in residual stress distributions over different specimen faces can be reliably derived from recorded fringe patterns of any type. This study serves as an example of residual stress components determination in real structure with a type of residual stress field to be investigated is unknown before the experiment.     

Moiré topography in odontology

For several decades, measurement of optical techniques has been used in different branches of science and technology. One of these techniques is the so-called moiré topography (MT) that enables the accurate measurement of different parts of the human body topography. This investigation presents the measurement of topographies of teeth and gums using an automated system of shadow moiré and the phase shift method in an original way. The fringe patterns used to compute the shape and the shape matrix itself are presented in the article. The phase shift method ensures precisions up to the order of microns. Advantages and disadvantages of using the MT are included. Besides, some positive and negative aspects concerned with the implementation of this technique in odontology are shown in the article.     

Using coloured structured light in 3-D surface measurement

The widest used algorithms for 3-D surface measurement using structured fringe patterns are phase stepping and Fourier fringe analysis. The techniques currently employed use mostly monochrome fringe patterns as a tool for phase information measurement and further surface reconstruction. However, the information contained in colour images is much more than that of monochrome, in this case, a new colour technique can be employed to analyse a measured scene with colour fringe patterns.This paper presents a new method for improving the measurement of 3-D shapes by using colour information of the measured scene as an additional parameter. The new method is based on primary colours (red, green and blue) to increase the number of the illuminated fringe patterns, which will remove or significantly reduce the common drawbacks of existing methods. The proposed technique produces a number of coloured structured lighting patterns, which are projected from different angles onto the scene. These patterns are analysed using masking algorithms, a specially adapted multi-colour version of the standard Fourier fringe analysis method and calibration routines. In this way a number of the standard difficulties are overcome.     

Automated image processing algorithm for Young's fringe pattern analysis

An automatic of image processing for the analysis of Young's fringe pattern is proposed. A Young's fringe patttern is first FFT treated to get two patterns of 0 degree and 90 degree phase shifted. Regular two pattern shift algorithm is used to calculate the phase of the Young's pattern. One or two times of phase shift iteration are carried out to improve the phase. Then the phase is least square fitted to get a phase plane. The displacement magnitude and direction are eaasily induced from the phase plane. Because every step is full field treatment, very precise result is achieved. The algorithm is simple and easy to implement. Theory and experiment are presented to prove the proposal. A program is designed to execute the algorithm and the processing is automated by a Personal Computer with an image board.     

A comparison of phase shifting and fourier methods in the analysis of discontinuous fringe patterns

Phase Shifting Interferometry is a highly accurate data acquisition technique that efficiently utilizes several frames of information for each measurement. In this work, the advantages of phase shifting have been applied to a conventional moiré interferometer, yielding a system capable of recording phase shifted fringe patterns for both in-plane displacement components. Using this method, the phase of a wavefront of interest can be determined at each detector location, so that the resolution of the phase measurements is limited primarily by the detector discrimination and geometry. Unlike traditional Fourier fringe analysis, the noise rejection of phase shift processing algorithms does not degrade image fidelity in the presence of edges and discontinuities. A general discussion of both the phase shifting technique and the Fourier fringe analysis method is included to provide insight into the problems of processing discontinuous fringe patterns.