Camera calibration with one-dimensional objects moving under gravity

Camera calibration using one-dimensional (1D) rigid objects is arresting the attentions of researchers since the easy-to-construct geometrical structure of the apparatuses. In this paper, we extend the motion patterns applicable for calibration with the motion of 1D objects. We show that a 1D object with three or more markers, rotating around one marker which is moving in a plane, provides constraint equations on camera intrinsic parameters. A stick moving under gravity without other forces acting on performs such a motion. Simulated tests show the feasibility and numerical robustness of this method.     

Camera calibration with moving one-dimensional objects

In this paper, we show that the rotating 1D calibrating object used in the literature is in essence equivalent to a familiar 2D planar calibration object. In addition, we also show that when the 1D object undergoes a planar motion rather than rotating around a fixed point, such equivalence still holds but the traditional way fails to handle it. Experiments are carried out to verify the theoretical correctness and numerical robustness of our results.     

Camera calibration in sport event scenarios

The main goal of this paper is the design of a novel and robust methodology for calibrating cameras from a single image in sport scenarios, such as a soccer field, or a basketball or tennis court. In these sport scenarios, the only references we use to calibrate the camera are the lines and circles delimiting the different regions. The first problem we address is the extraction of image primitives, including the challenging problems of shaded regions and lens distortion. From these primitives, we automatically recognise the location of the sport court in the scene by estimating the homography which matches the actual court with its projection onto the image. This is achieved even when only a few primitives are available. Finally, from this homography, we recover the camera calibration parameters. In particular, we estimate the focal length as well as the position and orientation in the 3D space. We present some experiments on models and real courts which illustrate the accuracy of the proposed methodology.     

基于OpenCV的摄像机标定

以增强现实系统中摄像机标定技术为研究对象,分析了开放计算机视觉函数库OpenCV中的摄像机模型,特别充分考虑了透镜的径向畸变和切向畸变影响及求解方法,给出了基于OpenCV的摄像机标定算法.该算法充分发挥了OpenCV的函数库功能,提高了标定精度和计算效率,具有良好的跨平台移植性,可以满足增强现实和其它计算机视觉系统的需要.     

一种基于摄像机模型的畸变图象校正方法

一种基于摄像机模型的畸变图象校正方法王亚东丁明跃彭嘉雄（华中理工大学图象识别与人工智能研究所武汉４３００７４）关键词像机模型,像机定标,畸变图象校正．收稿日期１９９４－１１－１４１引言在图象分析和图象匹配中,为了获得大视场图象,需要使用广角镜头．但是...     

The normalised image of the absolute conic and its application for zooming camera calibration

We present a novel technique for calibrating a zooming camera based on the invariance properties of the normalised image of the absolute conic (NIAC). We show that the camera parameters independent of position, orientation and zooming are determined uniquely by the NIAC, and we exploit these invariance properties to develop a stratified calibration method that decouples the calibration parameters. The method is organised in three steps: (i) computation of the NIAC, (ii) computation of the focal length for each image and (iii) computation of the orientation and the position of the camera. The method requires a minimum of three views of a single planar grid. Experiments with synthetic and real data suggest that the method is competitive with other state-of-the-art plane-based zooming calibration methods in the scenarios considered.     

Camera calibration for a mobile robot prototype

Stereovision is an effective technique to use a CCD video camera to determine the 3D position of a target object from two or more simultaneous views of the scene. Camera calibration is a central issue in finding the position of objects in a stereovision system. This is usually carried out by calibrating each camera independently, and then applying a geometric transformation of the external parameters to find the geometry of the stereo setting. After calibration, the distance of various target objects in the scene can be calculated with CCD video cameras, and recovering the 3D structure from 2D images becomes simpler. However, the process of camera calibration is complicated. Based on the ideal pinhole model of a camera, we describe formulas to calculate intrinsic parameters that specify the correct camera characteristics, and extrinsic parameters that describe the spatial relationship between the camera and the world coordinate system. A simple camera calibration method for our CCD video cameras and corresponding experiment results are also given. This work was presented in part at the 7th International Symposium on Artificial Life and Robotics, Oita, Japan, January 16–18, 2002     

Camera and light calibration from reflections on a sphere

This paper introduces a novel method for recovering light directions and camera parameters using a single sphere. Traditional methods for estimating light directions using spheres either assume both the radius and center of the sphere being known precisely, or they depend on multiple calibrated views to recover these parameters. In this paper, it will be shown that light directions can be uniquely determined from specular highlights observed in a single view of a sphere without knowing or recovering the exact radius and center of the sphere. Besides, given multiple views of the sphere, it will be shown that the focal length and the relative positions and orientations of the cameras can be determined using the recovered sphere and light directions. Closed form solutions for estimation of light directions and camera poses are presented, and an optimization procedure for estimation of the focal length is introduced. Experimental results on synthetic and real data demonstrates both the accuracy and robustness of the proposed method.     

Dry camera calibration for underwater applications

Is it possible to calibrate a camera in the air and then use the calibration results to infer a new calibration corresponding to the embedding of the camera in another fluid (possibly water)? This problem is dealt within the paper. It is important to avoid direct underwater calibration, as it is much more inconvenient for experiments than the usual (air) calibration by human workers. Optical laws that must be considered when using underwater cameras are investigated. Both theoretical and experimental point of views are described, and it is shown that relationships can be found between results of air and water (or any other isotropic fluid in which the camera can be submerged) calibration. Received: 22 April 2000 / Accepted: 13 May 2002 Correspondence to: J.M. Lavest     

红外摄像机组的一维标定物设计和标定

在标定过程中针对红外摄像机组缺乏颜色和纹理信息而无法完成标定点空间和图像坐标匹配,提出一维标定物设计准则。当一维标定物的标记点相互距离满足给定比例关系,通过标记点的像素距离作为判断条件,对标定的标记点空间和图像位置进行匹配。理论上证明了设计准则的可靠性。实验表明：满足设计准则的一维标定物操作简单、匹配方便,标定后红外摄像机组参数精度高。     

Robot calibration using a 3D vision-based measurement system with a single camera

One of the problems that slows the development of off-line programming is the low static and dynamic positioning accuracy of robots. Robot calibration improves the positioning accuracy and can also be used as a diagnostic tool in robot production and maintenance. This work presents techniques for modeling and performing robot calibration processes with off-line programming using a 3D vision-based measurement system. The measurement system is portable, accurate and low cost, consisting of a single CCD camera mounted on the robot tool flange to measure the robot end-effector pose relative to a world coordinate system. Radial lens distortion is included in the photogrammetric model. Scale factors and image centers are obtained with innovative techniques, making use of a multiview approach. Results show that the achieved average accuracy using a common off-the-shelf CCD camera varies from 0.2 to 0.4 mm, at distances from 600 to 1000 mm from the target, respectively, with different camera orientations. Experimentation is performed on two industrial robots to test their position accuracy improvement using the calibration system proposed: an ABB IRB-2400 and a PUMA-500. The robots were calibrated at different regions and volumes within their workspace achieving accuracy from three to six times better when comparing errors before and after calibration, if measured locally. The proposed off-line robot calibration system is fast, accurate and easy to set up.     

基于粒子群算法的双目立体视觉系统标定

摄像机标定是立体视觉系统研究的重要组成部分,针对双目立体视觉系统中摄像机标定这一多参数、复杂函数的优化问题,建立带有一阶径向畸变的摄像机模型,利用粒子群算法对模型中的参数进行优化处理,并同改进遗传算法的优化结果进行比较分析。实验结果表明该方法具有较高的精度,可满足工业机器视觉的要求。     

B双空间几何中基于消隐点的摄像机标定

对比目前常见的CCD摄像机标定技术,采用了一种基于消隐点的摄像机标定方法。该方法基于射影几何中的B双空间几何概念,在充分利用二维棋盘格标定图像中点、线和面固有的几何关系与属性的基础上,通过改进的角点提取与计算,首先针对摄像机内参数中的横向焦距与纵向焦距进行计算,然后结合非线性优化方法对参数进行优化计算,从而求解出待标定摄像机的全部内参数。该标定方法具有操作过程简单和实验误差小的特点。     

交通监控场景下的相机标定与车辆速度测量

针对交通监控场景中对车辆速度测量的需求,提出了一种相机标定方法和车辆速度测量方案。首先,通过深度学习YOLO检测算法和光流跟踪算法对图像中的车辆目标进行检测和跟踪,根据获得的轨迹集合使用级联霍夫变换计算出道路方向上的消失点,从而检测出道路上的标志线。之后根据消失点和标志线,使用试探焦距思想完成相机标定任务。最后通过计算多帧之间瞬时速度的平均值来实现车辆速度的测量。通过真实交通监控场景的实验结果表明,这种基于消失点的自动相机标定方法具有较好的稳定性和较高的标定精度,能够满足车辆速度测量和实际工程应用的需求。     

摄像机畸变模型的比较与选择

合理选择摄像机模型是摄像机标定的首要任务,而传统的模型选择方法主要采用单一的重建精度指标来评判模型的合理性,存在明显的局限性.针对摄像机模型的比较和选择问题,分析和定义了模型的重建精度与泛化性能、模型估计的稳定性和标定参数的不确定性3个性能指标.重建精度与泛化性能指标不仅度量了模型对标定控制点范围内数据的重建误差大小,而且还反映了模型对于控制点范围之外数据的适应程度;稳定性指标描述了标定结果对于标定数据空间分布的依赖程度;不确定性指标则反映了标定结果的偶然性.这3个指标具有一定的互补性,且稳定性和不确定性指标无需进行重建,可以直接通过标定结果进行评判.最后以3个不同特点的摄像机及8种不同类型的畸变模型为例,通过实验验证了3个指标的合理性和可行性,为合理选择摄像机模型提供了一种有效途径.     

双线阵CCD相机的畸变校正和标定方法

在双线阵CCD的三维重建中,对线阵CCD相机的标定和镜头畸变校正是基础环节。提出了一种用于三维重建中的双线阵CCD标定及镜头畸变校正方法。根据左右相机间的单应性关系,以及线阵CCD的成像原理,将双目相机间的空间关系分解成姿态角与错切角的关系。通过靶图数据的拟合,对姿态角和镜头畸变进行校正,根据求出的错切角完成相机间的标定,实现对具有镜头畸变的双线阵CCD的标定。实验结果表明,标定和校正精度满足后续三维重建中图像匹配的需求。     

A camera calibration technique using three sets of parallel lines

This paper presents a new method for three-dimensional camera calibration in which the rotation parameters are decoupled from the translation parameters. First, the rotation parameters are obtained by projecting three sets of parallel lines independently of the translation parameters and the imaging distance from the lens to the image plane. The virtual line passing through the image center, which is calculated by perspective projection of a set of parallel lines, depends only on the rotation parameters. Next, the translation parameters and the imaging distance are analytically obtained. Experimental results are used to show how the camera model can be accurately reconstructed in an easily prepared environment.     

基于单应矩阵的摄像机标定方法及应用

提出了一种基于单应矩阵的摄像机标定方法,并应用标定结果成功完成了移动机器人的视觉伺服任务。该方法首先根据图像平面和标定板平面之间特征点的对应关系,对单应矩阵进行了估计,进而利用旋转矩阵的单位正交性得到了其对摄像机内参数的约束条件。然后把摄像机内参数矩阵分解为有效焦距与主点位置两部分,并利用最小二乘法分别对其进行求解。针对镜头的径向畸变,恰当地选取了一种畸变模型,并由此得到了一种新的目标函数来对摄像机的所有参数进行非线性优化,从而使获得的畸变系数更适合于从二维图像信号中提取三维位姿信息。最后将标定结果成功应用于移动机器人视觉伺服系统之中,实验结果验证了该标定算法具有简单易用、精度较高等优良性能。     

基于自由运动一维标定物的多摄像机参数标定方法与实验

一维标定方法易于实现且标定效率高,为了克服现有一维标定方法的一些不足,本文提出一种用一维标定物标定多摄像机内外参数的方法,首先进行两两标定,在此过程中,假定主点坐标近似已知而仅考虑畸变、焦距、旋转和平移等参数,接着利用基本矩阵及一维标定物上特征点之间的几何约束,估计两摄像机的内外参数,两两标定完成后,采用Dijkstra最短路径法和捆绑调整对多摄像机系统进行全局标定(含主点坐标),仿真和真实实验表明本文的方法是切实有效的.     

矩形模板下摄像机标定和目标定位方法研究

提出一种利用矩形进行摄像机标定和目标定位的新方法.该方法根据透视投影几何关系中旋转矩阵的单位正交性,由矩形的四个顶点的像构造无穷远平面上绝对二次曲线的像ω的约束方程标定摄像机内参数;目标定位转化为求解摄像机外参数,无需计算图像和空间平面间的单应矩阵,直接由矩形顶点确定.本文方法完全摆脱了复杂的图像匹配问题,所有计算方法完全线性化,标定过程简便.模拟和真实图像实验结果证明了方法的可行性,表明该方法求解精度高、鲁棒性强.