基于傅里叶条纹分析的多摄像机标定方法

提出一种新的摄像机标定方法,该方法基于2D共面参照物摄像机标定方法和傅里叶条纹分析方法.将已知相位分布的平面二维正弦灰度调制条纹图作为平面标定靶,通过傅里叶条纹分析方法计算出两个截断正交相位分布,利用截断正交相位分布并结合二维正弦条纹图特点提取相应的图像特征点,建立像素坐标与2D平面坐标的对应关系.将该二维平面靶在摄像机成像空间中放置不同的位置,并完成相应的特征点提取,根据2D共面参照物摄像机标定方法即可完成摄像机标定.该方法利用平面相位测量的高准确度来提高标定特征点的提取准确度,从而提高标定准确度.实验对双摄像机系统进行了标定,标定后该系统对标定靶进行测量,标准偏差达到0.010 mm.     

相位测量轮廓术中三维坐标校准新方法

提出了一种新的用于相位测量轮廓术中的三维坐标校准方法。该方法用一个含有三个虚拟校准平面的标准块代替传统相位测量轮廓术校准方法中使用的标准平面，每个虚拟校准平面由多个高度相同但空间离散分布的子区域组成，相应的连续相位恢复是通过一个迭代过程实现的，同时各个子区域还被用于横向坐标的校准。由于各个虚拟校准平面间高度是垂直变化的，传统的相位展开不能得到正确的相对位置关系，基于等效波长概念，提出了一种准确的虚拟校准平面连续相位间相对位置恢复的办法。此校准方法的特点是：在校准过程中不需要标准平面的多次精确平移；仅需要一次测量就可以完成高度和横向坐标的同时校准。文中给出的实验结果说明了该校准方法的有效性和可行性。     

Stereo vision sensor calibration based on random spatial points given by CMM

This paper presents a new, high-precision calibration method for stereo vision sensor based on virtual template. Given 3D spatial points coordinates by coordinates measurement machine (CMM) and corresponding image points coordinates, the technique is realized by taking the projection matrix elements as unknown and using singular value decomposition to solve the least-squares solutions. The method avoids solving intrinsic and extrinsic parameters of each camera and introducing the calibration error which caused by template machining and measurement error. We measure the 3D coordinates of a group of random spatial points by the calibrated stereo vision sensor then compare the results with CMM measurement values, the errors are less than 0.05 mm in the Z axis direction, and less than 0.01 mm in the X and Y axis direction, the experiment results show that the technique is feasible and effective.     

A vision measurement model of laser displacement sensor and its calibration method

Laser displacement sensors (LDSs) use a triangulation measurement model in general. However, the non-linearity of the triangulation measurement model influences the measurement accuracy of the LDS, and the geometric parameters calibration process of the components of the LDS is tedious. In this paper, we present a vision measurement model of the LDS based on the perspective projection principle. Furthermore, a corresponding calibration method is proposed. A planar target with featured lines is moved by a 2D moving platform to some preset known positions. At each position, the world coordinates of calibration points are obtained by the cross ratio invariance principle and the linear array camera of the LDS is used for collecting target images. The simulations verify the effectiveness of the proposed model and the feasibility of the calibration method. The experimental results indicate that the calibration method achieves a calibration accuracy of 0.026 mm. Compared with the traditional measurement model, the vision measurement model of the LDS is more comprehensive and avoids a linear approximation procedure, and the corresponding calibration method is easily complemented.     

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.     

采用分离式差分标定靶的单摄像机标定方法

采用分离式差分标定方法实现对单摄像机的高精度标定。在摄像机的物面位置上放置多个小尺度的分离式标定靶,每个标定靶上有标准点阵列,对每个光点由高斯曲面拟合法得到其CCD像面上的位置,光点位置检测结果的稳定性(均方根)达到1μm(相当于CCD 0.0053 pixel)。利用同一标定靶上标准点之间的物面差分坐标,进行四次曲面拟合,建立摄像机的像面与物面之间的映射关系。该方法对各个标定靶之间的距离没有提出要求,采用多个小尺寸的差分标定靶代替整体式的大尺度标定靶,降低对大尺度标定靶的制作要求。实验表明,当各个标定靶之间的相对角度误差小于60″时,标定残差平均值可以达到4.8μm(相当于CCD 0.028 pixel)。     

Line-scan CCD camera calibration in 2D coordinate measurement

We present a line-scan camera calibration method in a plane not perpendicular to but parallel to the optical axis, without requiring the camera motion or a complex calibration pattern. A random 2D reference coordinate system in the calibration plane can be used, images of a rod perpendicular to the calibration plane at known coordinates are captured by the camera, the relation between the given coordinates and the rod image centroid position are analyzed based on a reduced pinhole model and image processing, and then the camera parameters and distortion factors are all estimated. These distortion factors build a sample relation only between the image position in theory and in practice, and they do not change with object position. Two wide-angle line-scan cameras that are used in a 2D-coordinate measurement system are calibrated by this method; the application results illustrate the effectiveness and convenience of this method.     

基于天顶观测的光学系统精确标定方法

针对光学系统在实际应用中与载体坐标系协调的问题,将光学系统基准面放置于站心地平坐标系水平面上并摄取星图,对星图处理获取星像坐标,应用天体自动辨识技术和恒星视位置计算技术得到对应天体的赤道坐标,以天顶点为原点建立天球切平面基准坐标系,把星体赤道坐标转化为所对应的基准坐标,利用天顶点切平面与站心地平坐标系的对应关系,将天体基准坐标转换为站心像平面坐标,建立星体站心像平面坐标与星图像平面坐标的标定方程,解算光学系统综合标定参数。实验结果表明:标定精度达到角秒量级,实现光学系统像平面坐标系到载体坐标系的高精度转换。     

Camera calibration with planar crossed fringe patterns

We introduced a novel crossed fringe pattern as the model plane for camera calibration. It can provide abundant control points, in extreme case each pixel on the CCD sensor can be taken as control points. Fourier Fringe Analysis is used to extract the phase distributions from the image of this pattern. Each control point consists of the locations of a pixel and the world coordinates, which can be calculated from the phase distributions. It avoids the complex extracting procedure of those classical control points and could produce abundant control points. Both computer simulation and real data have confirmed the proposed technique is easy to use, reliable and high accurate.     

A novel method of camera pose estimation by parabolic motion

Camera pose estimation is a basic and crucial problem in computer vision, accordingly a novel method is proposed for pose estimation based on parabolic motion in our paper. Firstly, the intersection of lines which are the image plane projection of free-falling trajectories in different locations is computed. According to the properties of vanishing point, the intersection is defined as the vanishing point in gravity direction. Secondly, the image plane projected curve of parabolic trajectory is obtained by Sampson Approximation. Finally, the camera pose is estimated by employing the projective geometry properties of vanishing point and vanishing line implicated in the projected parabola, provided that the intrinsic parameters of camera are specified. The absolute Euclidean distance of translation is obtained innovatively with the known frame frequency. Numerical simulation as well as practical experiment in this paper demonstrates the correctness and feasibility of our method, with the known frame frequency, as the experiment show that compared with the traditional checkerboard method the mean errors of rotation axis, rotation angle and translation are respectively 0.017 rad, 0.007 rad and 11.650 mm by our method. It can generally satisfy the accuracy requirements of camera.     

Single image rectification of thermal images for geometric studies in façade inspections

This work presents a photogrammetric technique that provides geometric and thermal information about building façades. It uses low cost and portable scale bars, specially designed for thermal imaging, and processing software based on single image rectification. Image rectification corrects the original photo displacement due to the projection and perspective, and radial distortions introduced by the lens of the camera.The technique is tested by comparing laser scanning and thermal data. Seven segments of different orientation and length are selected for the measurement. Accuracy tests show errors between 44 mm and 151 mm. Precision values range between 22 mm and 61 mm for a maximum length of 7259 mm. The accuracy and precision results obtained for the technique open the possibility of extending its use to building inspection tasks.     

基于三线结构光的相机平面标定方法研究

相机标定技术是结构光三维视觉测量的关键技术之一,结构光系统的相机标定的精度对三维测量的精度有很大影响。首先对三线结构光系统图的相机标定方法进行了分析,简单介绍了工业相机成像的几何模型及标定的原理;其次利用Harris角点检测方法提取特征点坐标,并选用了BP神经网络来校正工业相机的畸变模型,以提高标定算法的优化速度和标定精度;最后采用张正友的平面标定法对校正后的摄像机模型进行标定实验,由实验结果知,该方法具有一定的准确性和有效性,在一定误差范围内,基于神经网络畸变校正的张正友相机标定能够有效提高视觉检测的精度。     

About ageing and fading of Cr-39 PADC track detectors used as air radon concentration measurement devices

PADC detectors are widely used as air radon concentration measurement devices and the typical procedure that a Radon Service Laboratory uses to manage the detectors provides a calibration phase followed by the field measurement. The calibration is performed in a reference radon concentration atmosphere, using high radon concentration values in order to achieve typical exposure values of few MBq h m^?3 with an exposure time of few days. On the other hand the field measurement is characterized by long term exposures lasting up to six months and by radon concentrations that are quite lower than the ones used in the calibration.The aim of this study is to check whether the calibration procedure is actually representative of a field measurement, or, in other words, whether and how much ageing or fading can affect the calibration factor.We found that the ageing and fading effect can produce a decrease in the detector sensitivity leading to an underestimation of the radon concentration up to 40% for exposure lasting few months. An important issue is that both ageing and fading can be ascribed to a decrease in the track etching velocity V_t.In the paper we also provide an algorithm to compensate for the sensitivity variation due to fading/ageing effect.     

电子白板系统中参数标定方法的研究

为了避开复杂繁琐的摄像机标定过程,提出了一种基于CCD摄像机的电子白板系统参数标定新方法,实现了开机自动标定系统参数的功能。采用Harris角点检测算法成功提取了参考点的像素坐标,并直接运用射影变换交比不变性,推导出白板边框图像像素距离与实际物理距离的映射关系式,进而获得了摄像机的光心坐标。简要分析影响系统标定精度的因素,并设计出减小标定误差的方案,最后搭建实验平台标定系统参数。实验结果表明:该标定方法实现简单,应用方便,且对于单位长度为1 cm的标定块而言,标定误差小于0.04 cm。     

Pose measurement method based on geometrical constraints

The pose estimation method based on geometric constraints is studied.The coordinates of the five feature points in the camera coordinate system are calculated to obtain the pose of an object on the basis of the geometric constraints formed by the connective lines of the feature points and the coordinates of the feature points on the CCD image plane;during the solution process,the scaling and orthography projection model is used to approximate the perspective projection model.The initial values of the coordinates of the five feature points in the camera coordinate system are obtained to ensure the accuracy and convergence rate of the non-linear algorithm.In accordance with the perspective projection characteristics of the circular feature landmarks,we propose an approach that enables the iterative acquisition of accurate target poses through the correction of the perspective projection coordinates of the circular feature landmark centers.Experimental results show that the translation positioning accuracy reaches ±0.05 mm in the measurement range of 0-40 mm,and the rotation positioning accuracy reaches ±0.06° in the measurement range of 4°-60°.     

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.     

中心折反射全方位摄像头的标定方法研究

提出一种适用于不同类型中心折反射全方位摄像头的标定方法。该方法不需标定模板的运动信息或限定全方位摄像头的类型,而只用通过摄像头观测分布在不同位置的标定模板,对所采集的标定模板图像提取角点,将包含内外部参数的非线性图像投影函数用泰勒级数展开表示,应用Levenberg-Marquardt算法计算摄像头外部参数,而通过对超定方程组的伪逆求解计算内部参数。整个标定过程简单,快速而且自动完成。利用某一中心折反射全方位摄像头对提出的方法进行了实验,实验结果表明,该方法可获得很好的标定效果。     

Stereoscopic video surveillance system for detection of target’s 3D location coordinates and moving trajectories

In this paper, a novel stereoscopic video surveillance system to track a target person and detect its three-dimensional (3D) location coordinates and moving trajectory is implemented by using the pan/tilt-controlled stereo camera system. Stereoscopic video images of a target person are captured with stereo camera system and the target face and its location in the left image plane can be detected by use of YCbCr color model and centroid method. Also the target location in the right image plane can be obtained through correlation between the left face image and the right image by using the binary phase extraction joint transform correlator (BPEJTC) algorithm. With these location data of the target face in the left and right image planes the pan/tilt systems can control the stereo camera to track a target person by positioning the target face at the center of the camera’s FOV and making the focusing points of the right and left camera coincided on the target face. And then, with the resultant pan/tilt angles and geometric parameters of the stereo camera system, the target’s real 3D location coordinates and moving trajectory in the world space can be obtained. From some experiments with 900 frames of stereoscopic video image pairs, it is analyzed that the target’s center location after being tracked is kept to be very low error ratio of 0.62%, 2.04% on the average in the x, y directions of the image plane, respectively. Also, the error ratio between the calculated and measured values of the 3D location coordinates of a target person is found to be very low value of 2.1%, 5.7% on the average in the X and Y directions of the real world space, respectively.     

点光源反射镜法向标校技术

针对基于反射式点光源进行在轨辐射定标过程中反射镜法向标校建模不够完善的问题,提出基于反射镜与相机几何模型的反射镜法向标校及矢量控制算法.通过解算模型求解相机与反射镜间的几何误差,建立了太阳图像质心坐标与反射镜法向之间的关系,可实现多点自动化标校反射镜法向,提高镜法向标校及系统指向精度.实验结果表明,利用解算后的几何模型反解不同时刻质心坐标进行多点反射镜法向标校,相机观测太阳像素角分辨率标准误差分别为:X轴方向0.02165°、Y轴方向0.01982°,综合角分辨率误差为0.02936°,优于太阳观测器对反射镜法向标校精度.实现了相机观测太阳取代人工借助太阳观测器观测太阳的自动化镜法向标校,扩展了标校灵活度,系统综合指向精度优于0.1°,为固定实验场联网自动化集中控制不同能级梯度的点光源阵列在轨辐射定标和调制传递函数检测奠定基础.     

Curvature measurement using phase shifting in-line interferometry,single shot off-axis geometry and Zernike's polynomial fitting

This paper describes the difference between phase shifting in-line interferometry, single shot off-axis geometry and Zernike's polynomial fitting methods for measuring the curvature of a spherical smooth surface by using the Michelson interferometer. In phase shifting in-line interferometry, four interferograms shifted by a piezoelectric actuator (PZT) were captured by a digital detector and corrected by using the flat fielding method. In off-axis geometry, single shot off-axis interferogram was obtained by tilting the reference and the object wave of the off-axis interferogram was reconstructed in the central region of the observation plane by using the digital reference wave concept. The demodulated phase map was obtained and unwrapped to remove the 2π ambiguity. The unwrapped phase map was converted to height and the sagittal length that used for curvature measurement was calculated accurately. The results extracted from phase shifting in-line interferometry and single shot off-axis geometry methods were compared with the results extracted from single shot Zernike's polynomial fitting method and the results were in excellent agreement. A new trial was done to overcome the fringes produced from the object interfaces. Some factors of uncertainty which affected on the measurement were estimated in the order of 6.0 × 10^?5 mm or 0.003 dioptre (▽).