Automatic Analysis of the Phase Object Using Projection Moire Deflectometry

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自由立体显示器中锯齿状交错狭缝光栅的设计

光栅式自由立体显示由于易存在莫尔条纹和串扰的问题而影响其显示效果.利用斜光栅可减轻莫尔条纹但增加了视点间的串扰.本文提出一种减轻莫尔条纹的光栅设计方法,同时对可视区域影响较小.设计中对光栅进行分段,并将相邻两段狭缝错开一定距离.该方法能减小通过同一狭缝看到两相邻子像素之间的黑条的比例,获得较宽且较淡的莫尔条纹,从而减轻了视觉干扰.仿真结果表明该光栅相比传统垂直光栅,莫尔条纹亮度下降了108.1%,而可视区域仅减小32.8%,具有较高的实用价值.     

Shape identification using phase shifting interferometry and liquid-crystal phase modulator

A phase shifting technique using a Michelson interferometry system is presented and applied to surface contour measurement. Hyperbolic fringes are produced by the interference of two spherical wavefronts expanded from a beam expander. The fringe pattern is projected on an object surface and the deformed grating image is captured by a CCD camera for subsequent analysis by a PC. Phase variation is achieved by a liquid-crystal device incorporated in the Michelson interferometry system. Results obtained using the proposed method for objects of various shapes and sizes compared well with those from a conventional profilometer.     

自由立体显示器中锯齿状交错狭缝光栅的设计

光栅式自由立体显示由于易存在莫尔条纹和串扰的问题而影响其显示效果.利用斜光栅可减轻莫尔条纹但增加了视点间的串扰.本文提出一种减轻莫尔条纹的光栅设计方法,同时对可视区域影响较小.设计中对光栅进行分段,并将相邻两段狭缝错开一定距离.该方法能减小通过同一狭缝看到两相邻子像素之间的黑条的比例,获得较宽且较淡的莫尔条纹,从而减轻了视觉干扰.仿真结果表明该光栅相比传统垂直光栅,莫尔条纹亮度下降了108.1％,而可视区域仅减小32.8％,具有较高的实用价值.     

基于无衍射光莫尔条纹的轴锥透镜锥角测量方法

为了准确地测量轴锥透镜锥角值,根据无衍射光同心圆环间距不随距离改变的特点和莫尔条纹放大的特性,提出了一种基于无衍射光莫尔条纹的轴锥透镜锥角的测量方法。当无衍射光束经分束器分光合束后形成莫尔条纹,平移其中一束光在图像传感器上的位置,实现莫尔条纹数量的变化,通过记录不同莫尔条纹下的中心距离计算出轴锥透镜锥角。实验以锥角为0.5°的轴锥透镜作为被测对象,与CMM测量结果进行比较,该文提出的方法相对测量误差近似为0.54%,重复性为0.86″,验证了该文方法测量轴锥透镜锥角的可行性。     

The moire topography based on optical logic operation

The optical logic-operated moire,which is proposed on the basis of optical logicoperation,is a new method to obtain specific moire beat pattern.Its advantages lie in the ca-pability to select carrier-free,sharpened fringes with high contrast.The experimental methodand results of the application of the optical logic-operared moire in moire topography are pre-sented in this paper.     

Image fusion by color texture extraction

In this paper, we present a method to extract shape and color information simultaneously of a colorful object by projecting sequentially sinusoidal fringe patterns onto object's surface. Distorted fringe patterns are captured by digital CCD color camera. It is applied the phase shifting method to evaluate the phase of the projected fringes. We obtain both topography details and color texture information.     

Microscopic surface contouring by fringe projection method

This paper describes the use of optical fringe projection method for 3D surface profile and deformation measurement of micro-components. In this method, sinusoidal linear fringes are projected on a micro-component surface by a grating phase shifting projector and a long working distance microscope (LWDM). The image of the fringe pattern is captured by a high-resolution CCD camera and another LWDM and processed by phase-shifting technique. A simple procedure is described which enables calibration of the optical set-up for subsequent quantitative measurement of micro-components of unknown shapes. This method is relatively simple and accurate, and is capable of conducting fully automated measurements. In this paper, two micro-components, a micro-mirror (0.1 mm×0.1 mm) and a micro-electrode pad are used to demonstrate deformation measurement and microscopic surface contouring.     

Windowed Fourier assisted two-dimensional Hilbert transform for fringes phase extraction

In this article, two-dimensional windowed Fourier assisted Hilbert transform for fringes phase extraction has been proposed. The mathematical derivations of the filtered fringes image and its Hilbert transformations are presented using windowed Fourier transform. The proposed method has been verified by calculating the wrapped and unwrapped phase of the experimental moire fringes. In comparison to the conventional fringes phase extraction methods, the proposed method is found to be effective.     

利用预失真条纹校正PMP系统投影仪畸变的研究*

依据摄像机畸变模型提出了一种投影条纹相位畸变校正方法来简化相位-高度映射关系.该方法首先通过投两套互相垂直的相移正弦条纹,以相位值代替投影仪像素坐标,将投影仪当成摄像机看待,标定出投影仪的内参量.然后根据标定出的投影仪镜头畸变参量对理想相位施加反向的畸变,在投影时反向畸变的光栅通过镜头畸变,又成为理想的光栅,从而简化了相位-高度映射关系.实验中,虽然由于测量误差的影响,校正后的投影仪径向畸变系数还是比原来小了1个数量级.     

利用预失真条纹校正PMP系统投影仪畸变的研究

依据摄像机畸变模型提出了一种投影条纹相位畸变校正方法来简化相位-高度映射关系.该方法首先通过投两套互相垂直的相移正弦条纹,以相位值代替投影仪像素坐标,将投影仪当成摄像机看待,标定出投影仪的内参量.然后根据标定出的投影仪镜头畸变参量对理想相位施加反向的畸变,在投影时反向畸变的光栅通过镜头畸变,又成为理想的光栅,从而简化了相位-高度映射关系.实验中,虽然由于测量误差的影响,校正后的投影仪径向畸变系数还是比原来小了1个数量级.     

Miniaturized 3-D surface profilometer using a fiber optic coupler

A 3-D surface profilometer is described which uses a simple fiber optic coupler to form a Young's double pinhole interferometer. The Young's fringes are projected onto a surface, captured by a camera and analyzed using the Fourier transform method. The phase of the fringe pattern on the object is used to reconstruct the surface profile. System analysis, results from a simulation, and preliminary experimental results are provided which indicate a system resolution on the order of a tenth of a millimeter.     

3D Reconstruction of Large-Depth Objects Using Fresnel Diffraction of a Ronchi Grating and Simultaneous Recording of Reference and Object Fringes

We propose an active triangulation based range-finding system that, besides its simplicity, has two advantages over similar existing systems. First, the system can acquire range data for large-depth objects since it generates an illumination pattern with large-depth of focus using Fresnel diffraction from a Ronchi grating projected over the entire object surface. Secondly, the system does not need preliminary recording of reference fringes since it displays simultaneously, on a single image, both reference and object deformed fringes. This system offers other properties: it is mechanically simple, uses everyday optical components, is low cost, can be operated via a PC and uses relatively simple image analysis software. Three dimensional reconstructions are illustrated for various objects having 10 cm maximum depth variations. The depth accuracy (typically 0.5 mm for an object located at 350 mm from the camera) is comparable with other systems, but a certain compromise has to be accepted in acquisition time (typically 1 minute). This system can find applications in research laboratories as a tool to provide range data with relatively good depth accuracy.     

光栅成像反射莫尔干涉术

利用光栅成像效应可构成一种光栅成像反射干涉仪。配合莫尔技术,在自成像平面可获得表征镜状表面试件离面位移一阶偏导等值线的反射莫尔条纹。并给出了这种干涉术的理论分析及实验例证。     

Moiré technique in 3-D machine vision

Moiré technique using projected fringes is a promising method in 3-D machine vision for the mapping of surface profiles of objects compared to ideal masters. This paper describes a CAD-integrated system using a CCD camera and a digital image processor. Applications to industrial inspection of CAD-generated master objects are presented.     

无衍射光莫尔条纹的中心定位方法

无衍射光莫尔条纹被广泛应用在精密测量领域中，实现无衍射光莫尔条纹中心的精确定位是高精度测量的关键。通过对无衍射光莫尔条纹图像特征进行分析，提出了一种无衍射光莫尔条纹的中心定位方法。该方法首先根据光强分布特征，提取莫尔条纹图像中两光斑中心局部同心圆区域；然后进行局部同心圆环检测，确定初始圆心集；再对初始圆心集进行聚类分析确定两光斑中心的初始位置；最后删除异常点并迭代求取两光斑中心较精确的位置，实现无衍射光莫尔条纹两光斑中心的定位目的。理论和实验结果表明该方法能快速、准确地同时确定两光斑中心位置，且误差小于1 pixel。     

双计算机光栅莫尔拓扑术

提出了利用双计算机光栅实现莫尔拓扑检测的方法.理论分析表明,投影光栅核的横向偏导数为常数是实现灵敏度均匀性检测的必要条件.适当设计光栅核,就可用等间距直条纹来表征标准面形.被测实物面形的缺陷就可通过莫尔条纹相对于背景直条纹的偏移而定量且直观地反应出来.最后,以轮胎镜为例进行了计算机模拟和实验验证.     

基于LCD数字投影技术的傅里叶变换法测量物体三维形貌

利用数字投影栅线技术, 采集变形前后的两幅图像,存入计算机中,然后根据Fourier变换原理进行处理,解调出物体的形貌信息.整个过程自动化程度较高,尤其是投影栅线为正弦栅线且栅距随意可调,比栅板投影栅线所含噪音小,因此精确度较高,而且使用的仪器常见,对环境要求 低,简便易行,有利于进一步推广.给出对爆竹像的实际测量结果,结果表明了该方法的实用价值.     

格雷码与六步相移编码融合的三维结构光学测量方法

编码结构光技术是一种获取复杂目标三维结构的典型测量技术,其将编码后的结构光图案投射到待测物体表面进行调制、采集,并通过解码计算三维面形数据,可见编码方法是结构光三维测量技术的核心问题。然而,通用的格雷码编码方法和六步相移编码方法都存在一定缺陷,为此,以获取物体的高精度三维点云数据为目标,提出了一种融合格雷码与六步相移的结构光技术。首先,将格雷码结构光设计为7幅黑白相间的条纹周期图像,并通过投射角度解码操作将图像划分为多个区域;然后,设计六步相移结构光为6幅具有相位差的余弦周期图像,通过相位解包裹操作将每个子区域细分到单个像素单元;最后,融合以上两种编码结构光解码值,计算图像内每个空间点的绝对相位信息。仿真实验与实际测试实验显示,与传统六幅莫尔条纹结构光技术相比,融合结构光技术计算量较小,同时也克服了单独使用格雷码或相移技术所存在的问题,能够以较高精度获取物体目标的三维结构细节,为基于结构光的双目三维扫描系统提供一定理论依据。     

X-ray interferometric Fourier holography

An X-ray interferometric Fourier holography was proposed and theoretically investigated. X-ray Interferometric Young fringes and the reconstruction of an object image were investigated by the Fourier transform method. It was shown that on the output surface of the analyzer crystal (the third plate of the interferometer) the interference pattern of two slits gives X-ray interferometric Young fringes. An expression for the period of X-ray interferometric Young fringes was obtained. The subsequent reconstruction of the slit image as an object is conducted by means of the Fourier transform method of intensity distribution on the hologram. Three methods for reconstruction of the function of complex transmission of the object are presented: an analytical one–the approximate method, the iteration method and the step-by-step approach. As examples a recording of X-ray interferometric Fourier hologram and the reconstruction of the function of complex amplitude transmission of a beryllium circular cylinder are given.