基于两个正交一维物体的单幅图像相机标定

提出了一种利用两个正交一维物体构成"T"型靶标进行摄像机标定的新方法。该方法只需对"T"型靶标上已知坐标的5点投影一幅图像,然后根据柔性靶标原理计算出由虚点和标记点组成的共直线的4点,由射影变换同素性、接合性以及交比不变性标定出镜头的一阶径向畸变参数。利用已知畸变参数对图像进行畸变校正,然后由基于两个正交一维物体坐标变换的方法即可标定出相机的内外参数。该方法线性求解镜头畸变参数,避免了传统方法非线性迭代优化过程中产生的参数耦合现象。实验表明,不进行镜头畸变校正则相机标定精度随着图像噪声的增加呈不稳定状态;进行畸变校正后对简单标定计算的初始值进行优化得到稳定的高精度标定结果。整个实验设备简单,操作方便,只需一幅图像即可实现镜头畸变和相机内外参数的标定,可以达到实时的效果。     

Robust geometric,phase and colour structured light projection system calibration

This paper introduces a new comprehensive procedure for both geometric and colour calibration of structured light system. In order to perform both geometric and colour calibration procedure, a new calibration artifact is proposed. The intrinsic and extrinsic parameters of projector and camera are estimated by using an extended pinhole camera model with a tangential and radial distortion. Camera image plane coordinates are obtained by extracting features from images of a calibration artifact. Projector image plane coordinates are calculated on the basis of continuous phase maps obtained from a fringe pattern phase reconstruction procedure. In order to stereo calibrate camera-projector system, pairs of corresponding image plane points are calculated with subpixel accuracy. In addition, one of three pattern views is used in colour calibration. RGB values of a colour field pattern detected by camera and their reference values are compared. This comparison leads to derivation of a colour transformation matrix. The performance of the proposed method is tested by measuring plane, sphere and distance reference. Also 360 degrees complex object 3D model from a set of measurements is obtained. Residual mean errors for all tests performed are calculated.     

Real-time camera pose estimation based on volleyball court view

The use of technology in sports has increased in recent years. One of the most influential of these technologies is referee support systems. Team sports such as volleyball require accurate and robust tracking systems that do not affect either the players or the court. This paper introduces the application of intrinsic and extrinsic camera calibration in a 12-camera volleyball referee system. Intrinsic parameters are calculated by using the classic pinhole model and Zhang’s method. To perform extrinsic calibration in real time, the volleyball court is treated as a global calibration artifact. Calibration keypoints are defined as court-line intersections. In addition, a new keypoint detection algorithm is proposed. It enables achievement of an accurate camera pose in regard to the court. With all 12 cameras calibrated in a common coordinate system, a dynamic camera stereo pair creation is possible. Therefore, with known ball 2D image coordinates, the 3D real ball coordinates can be reconstructed and the ball trajectory can be estimated. The performance of the proposed method is tested on a synthetic data set, including 3Ds Max rendering and real data scenarios. The mean camera pose error calculated for data biased with keypoint detection errors is approximately equal to 0.013% of the measurement volume. For the real data experiment with a human hand phantom, it is possible to determine the presence of the human phantom on the basis of the ball reflection attitude.     

Laser imaging and approximation networks for calibration of three-dimensional vision

An automatic calibration technique for three-dimensional vision is presented. This technique determines the vision parameters by means of approximation networks and image processing of a laser line. Also, the network performs the three-dimensional vision based on laser scanning and a mobile camera. The network is built based on the behavior of a laser line and the camera position. Here, an electromechanical device moves the camera during the vision task and the network provides an automatic re-calibration. Thus, the vision is carried out via mobile camera and extrinsic parameters are not passed to the system. Therefore, the accuracy and the performance of the vision procedure are improved. It is because the physical measurements of references are avoided. Thus, a contribution for the calibration of lighting methods is achieved. Additionally to it, the mobile setup provides a high sensitivity and avoids occlusion. The proposed technique is tested with real objects and its results are evaluated based on laser projection methods. To carry it out, a root mean square of error is computed using a contact method as reference. Also, the time processing is described.     

Research on camera calibration using new optimization strategy

An important task for stereo vision is camera calibration, whose goal is to obtain the intrinsic and extrinsic parameters of each camera. This paper proposes a new accurate calibration method with multilevel process of camera parameters. In order to improve the calibration accuracy, a sub-pixel corner detection method is presented. We start with several views of a planar calibration to obtain some intrinsic camera parameters and to build an accurate model with lens distortion on a planar calibration target. Flexibly making use of geometry imaging theory, our algorithm obtains all the parameters through logical organization of solving order, accordingly avoids obtaining possible local optimized problem when solving the non-linear equation, gets over the relativity influence of every unknown parameters of traditional calibration way, and makes the error distributed among the constraint relation of parameters. Experiments with real images are carried out to verify the image correction effect and numerical robustness of our results. Compared with classical calibration techniques, that use expensive equipment and complicated mathematical computation, the proposed technique, which was verified by experiment, achieves high accuracy and reliable parameters.     

结构光三维成像系统的计算机仿真

基于相位测量轮廓术和摄像机模型,提出一种结构照明三维成像系统的高精度计算机仿真算法。对于给定的物体三维模型,首先根据系统结构,采用Z缓冲技术消除遮挡和阴影部分,得到与摄像机像素点对应的物体表面采样点三维坐标,再使用统一的数学模型和方法处理投影过程。根据摄像机及投影仪的内、外参数,最终得到了摄像机像素点、物体表面采样点和投影仪像素坐标三者之间的对应关系,从而实现了结构照明三维成像系统仿真。为实际系统的结构设计、调整和参数校正提供了参考。     

Calibration for stereo vision system based on phase matching and bundle adjustment algorithm

Calibration for stereo vision system plays an important role in the field of machine vision applications. The existing accurate calibration methods are usually carried out by capturing a high-accuracy calibration target with the same size as the measurement view. In in-situ 3D measurement and in large field of view measurement, the extrinsic parameters of the system usually need to be calibrated in real-time. Furthermore, the large high-accuracy calibration target in the field is a big challenge for manufacturing. Therefore, an accurate and rapid calibration method in the in-situ measurement is needed. In this paper, a novel calibration method for stereo vision system is proposed based on phase-based matching method and the bundle adjustment algorithm. As the camera is usually mechanically locked once adjusted appropriately after calibrated in lab, the intrinsic parameters are usually stable. We emphasize on the extrinsic parameters calibration in the measurement field. Firstly, the matching method based on heterodyne multi-frequency phase-shifting technique is applied to find thousands of pairs of corresponding points between images of two cameras. The large amount of pairs of corresponding points can help improve the accuracy of the calibration. Then the method of bundle adjustment in photogrammetry is used to optimize the extrinsic parameters and the 3D coordinates of the measured objects. Finally, the quantity traceability is carried out to transform the optimized extrinsic parameters from the 3D metric coordinate system into Euclid coordinate system to obtain the ultimate optimal extrinsic parameters. Experiment results show that the procedure of calibration takes less than 3 s. And, based on the stereo vision system calibrated by the proposed method, the measurement RMS (Root Mean Square) error can reach 0.025 mm when measuring the calibrated gauge with nominal length of 999.576 mm.     

一种单摄像机虚拟鼠标的标定方法

建立单摄像机虚拟鼠标的数学模型,提出一种虚拟鼠标的现场标定方法.以二维实体靶标为中介.利用计算机屏幕生成的虚拟靶标,确定摄像机坐标系到屏幕坐标系的变换.建立空间三维控制点图像坐标到鼠标指针的映射,实现了单摄像机虚拟鼠标的现场标定.提出的方法无需高成本的辅助设备,现场操作简单.在30 cm作用距离内采用640 pixel×480 pixel图像中50个特征点,当图像噪声方差达到1 pixel时,试验中控制点映射为屏幕坐标的均方根(RMS)误差小于3 pixel.该方法应用于研发的虚拟鼠标演示程序.表明切实可行,适用于虚拟鼻尖鼠标的现场标定.     

Novel method for high accuracy figure measurement of optical flat

Phase Measuring Deflectometry (PMD) is a non-contact, high dynamic-range and full-field metrology which becomes a serious competitor to interferometry. However, the accuracy of deflectometry metrology is strongly influenced by the level of the calibrations, including test geometry, imaging pin-hole camera and digital display. In this paper, we propose a novel method that can measure optical flat surface figure to a high accuracy. We first calibrate the camera using a checker pattern shown on a LCD display at six different orientations, and the last orientation is aligned at the same position as the test optical flat. By using this method, lens distortions and the mapping relationship between the CCD pixels and the subaperture coordinates on the test optical flat can be determined at the same time. To further reduce the influence of the calibration errors on measurements, a reference optical flat with a high quality surface is measured, and then the system errors in our PMD setup can be eliminated by subtracting the figure of the reference flat from the figure of the test flat. Although any expensive coordinates measuring machine, such as laser tracker and coordinates measuring machine are not applied in our measurement, our experimental results of optical flat figure from low to high order aberrations still show a good agreement with that from the Fizeau interferometer.     

基于光学测棒的立体视觉坐标测量系统的研究

提出了一种基丁测量与校准功能合一的光学测棒的立体视觉坐标测最系统.采用光学测棒作为成像目标,通过任意放置的两台摄像机获取测棒上的发光特征点的图像实现被测物体三维坐标的测量,同时利用测量数据定期对两台摄像机外部方位参数进行校准.深入研究了两台摄像机内部参数和外部方位参数校准过程中的校准件和校准算法的设计,以及系统测量建模等关键技术,提出了相应的解决方案,减小了摄像机内外参数校准及测量模型对测量结果的影响,提高系统的测量精度.实验结果表明.该系统的最大测量误差为0.11 mm.     

单摄像机单投影仪结构光三维测量系统标定方法

系统参数的标定是结构光三维测量系统工作的基础,且参数标定的精度直接影响测量的精度,其中投影仪目前还存在标定过程复杂、精度较低等问题。为解决该问题,通过投影一组圆阵图案到一块本身带有特征圆的平板上,并由摄像机拍摄;基于二维射影变换理论,通过误差补偿法建立投影仪图像坐标和摄像机图像坐标的对应关系,利用该对应关系计算获取标定点的投影仪图像坐标;以标定点的两组图像坐标和世界坐标为初始值,使用非线性算法对系统进行全参数整体优化,完成系统的标定。实验验证了系统标定误差最大值小于0.05 mm,误差均方根小于0.03 mm,结果表明该方法标定过程简单,能够有效地提高标定精度,具有较广的适用性。     

CCD camera automatic calibration technology and ellipse recognition algorithm

A novel two-dimensional (2D) pattern used in camera calibration is presented. With one feature circle located at the center, an array of circles is photo-etched on this pattern. An ellipse recognition algorithm is proposed to implement the acquisition of interest calibration points without human intervention. According to the circle arrangement of the pattern, the relation between three-dimensional (3D) and 2D coordinates of these points can be established automatically and accurately. These calibration points are computed for intrinsic parameters calibration of charge-coupled device (CCD) camera with Tsai method. A series of experiments have shown that the algorithm is robust and reliable with the calibration error less than 0.4 pixel. This new calibration pattern and ellipse recognition algorithm can be widely used in computer vision.     

近景大视场角分区域标定方法研究

针对飞行试验测量视场大相机标定精度低的问题,提出一种高精度CCD相机分区域标定方法。该方法首先通过将标靶均匀布置在摄像机视场内,使得标靶尽可能均匀错落地充满整个视场范围,再结合人眼判读的方式求解靶标的像面位置,最终与全站仪三维坐标形成精确的空间标定点集。接着,将像平面按横向方向等间距分割成Ｎ个区域,并结合后方交会的方法分别对每个子区域进行相机参数的计算。实验结果表明：经过分区域标定,相机采集点的总误差比单区域标定法降低了4％(Ｎ＝3)。算法可实现指定区域的相机参数计算,基本满足中高等精度的工业测量要求。所本文研究可应用于位置相对固定不变的工业视觉测量,特别是大工件测量领域。     

体视2D-3cPIV相机标定方法研究

基于针孔相机成像模型,利用共线方程建立了像平面坐标与粒子三维空间坐标之间的映射关系,在此基础上采用Tsai’s算法开展了相机内外参数标定方法的研究。使用微位移机构负载二维平面标定板完成了片光厚度内多个位置的单视场非共面标定。改进后的Wong-Trinder算子提高了标定板上目标像中心的定位精度。利用标准图像对其进行了仿真实验。结果表明,该标定方法具有标定速度快、精度高的特点,适合于多种流场的2D-3cPIV测量。     

光笔式双目视觉测量系统标定技术研究

针对光笔式双目视觉测量系统的标定问题,讨论了关于相机内参、双相机外参以及测量笔的相关标定理论,开发了一整套基于LabVIEW的标定系统。运用张氏平面标定法实现了相机内参标定。结合基于标准长度的外部参数标定方法,实现了双相机外参数标定。运用粒子群算法和LM算法相结合,加快了目标函数高维寻优速度。在测量笔标定环节,提出了一种基于最小二乘法的现场校准方法。标定系统完成了后期开展相关测量前的所有准备工作,具有较高的精度和实用性。在测量系统标定结果基础上对直径25 mm标准陶瓷球进行测量,测量结果标准差达到0.019 mm。     

An absolute phase to world coordinates method for the defocusing structured light shape measurement system

This paper proposes a flexible calibration method for the defocusing structured light three-dimensional (3D) imaging system. Neither a high accuracy translation stage nor the parameters of the projector is required. Therefore the method is more flexible in many practical applications. World coordinates for calibration are obtained based on the method of coordinates from known plane. The monotonic nonlinear relationships between the absolute phase and each world coordinate have been investigated. Different from other methods, in our method, the 3D shape is directly recovered by the absolute phase to world coordinates method. Experimental results show that, when polynomial curve fitting methods are used, the root-mean-squared (RMS) error for the flat plate reconstruction is less than 0.12 mm, and the measurement error of 3D points is less than −0.34%. Furthermore, when comparing the measurement results of our method with the method of coordinates from known plane based on camera calibration, the relative error is less than −0.05%. Therefore, camera calibration is considered as the major error source.     

Self-calibration using two same circles

Camera calibration is a fundamental step in 3D reconstruction and computer vision. Considering the easy accessibility of two same circles, a method for self-calibration based on two same circles is proposed. The proposed method does not need any prior knowledge and known camera parameters. By taking three photos of the object containing two same circles from different views, the close solution for intrinsic and extrinsic parameters are first obtained by the invariance of circular points and common tangent of two circles. Then the solution is refined by the nonlinear optimization. This method could get the intrinsic parameters as well as the extrinsic parameters without complicated matching process. Extensive results show the accuracy, robustness and wide applications of the proposed method.     

大视场短焦距镜头CCD摄像系统的畸变校正

从光学测量角度出发,结合计算机视觉中的摄像机标定方法,解决了大视场短焦距镜头CCD摄像系统的畸变校正问题。与摄像机标定不同,畸变校正中仅标定内部参数,外部参数作为已知条件。采用线性畸变模型,由最小二乘法解线性方程组得到摄像系统畸变模型的畸变系数。介绍了数字图像中像素间距和光学中心的标定方法。通过比较由标定参数得到的畸变图像和摄像机采集的畸变图像对实验标定精度进行评定,实验结果表明边缘视场(112°)的标定精度达到了0 75%。     

基于构建初始测量网络的相机内部参数校准

提出了一种基于构建初始测量网络的相机内部参数校准方法,有效解决了二维平面靶标在深度方向信息的不足以及三维靶标空间的限制等问题。通过对靶标板进行初始成像,按照测量网络的构建原则建立初始测量网络,经过后方交会求解外方位、前方交会求解空间三维靶标点坐标,最后由光束平差优化求解相机内部参数。利用标定后内部参数求解空间点坐标,实验结果表明,采用构建初始测量网的误差平均值为0.0794,优于平面靶标和立体靶标标定的-0.2443和-0.1916。同时校准所用时间也明显小于虚拟立体校准,即该方法具有快速、精确和方便等优点,满足大空间视觉测量中相机内部参数现场校准的要求。     

基于十字靶标的双目立体测量系统标定

提出了一种基于十字靶标的双目立体测量系统标定方法。采用多视图几何约束和光束平差优化精确获得两相机内参数,同时得到在两相机各自坐标系下重建出的靶点三维坐标点集;由两组三维点集之间的刚体变换直接求得系统外参数。该方法只需双相机同时对十字靶标拍摄一次,再由两相机单独拍摄若干幅靶标图像即可,现场操作简单灵活。在标定结果的基础上,对长度为611.800mm的标尺进行多次测量,平均值为611.776mm,标准差为0.030mm。