基于球面透视投影约束的全景环形透镜畸变校正

全景环形透镜将折反射面集成到一起,能无扫描地瞬时得到围绕光轴的360度超大视场,在机器人导航、视频监控和虚拟现实领域得到了广泛的应用.其成像机理是将围绕光轴的视场二次反射投影到环形平面上,图像存在严重的切向和径向畸变.本文根据全景环形透镜的特点采用基于球面透视投影模型对图像进行校正.首先建立含有畸变参量的全景环形透镜校正模型,将空间直线点映射为球面点,然后使用遗传算法将球面点拟合为球面上的最佳大圆,求出变形校正参量,进而校正全景环形像.仿真和真实图像实验表明,环形图像的切向和径向畸变得到了很好的校正.     

图像显示系统几何畸变的测量及校正

为了保证图像显示系统能够产生120°的大视场,在系统中使用了超广角耦合物镜,这样就不可避免地存在几何畸变。提出了一种基于点物成像原理,并采用数码相机和精密单轴转台进行畸变测量的方法,介绍了测量原理和测量过程,根据测量后得到的畸变规律,采用数字图像处理的方法对几何畸变进行了校正。校正后,图像显示系统的畸变小于0.4%,完全能够满足导弹景象匹配系统定位误差及定位概率的检测要求。     

一种成像测量图像径向几何畸变的校正方法

通过对具有径向畸变的摄像机模型的分析,设计了一套求解图像径向几何畸变中心和畸变多项式系数的方案。首先,依据校正样板曲线的弯曲程度应用一元线性回归法和逐次逼近法求取光学图像的几何畸变中心,然后应用递推最小二乘法求解径向几何畸变的多项式系数,最后根据所得到的畸变中心和畸变多项式系数对图像进行校正得到满足要求的图像。仿真试验证明:该方法可以通过一次采集单幅图像对成像系统进行高精度标定,能够对成像测量系统的径向几何畸变进行一定精度的校正。实践证明:该方法通过图像处理的方法提高成像测量系统的精度,降低了系统的设计成本,可以作为成像测量系统中单独标定摄像机畸变参数的一种简单有效的方法。     

A camera calibration method for large field optical measurement

A camera calibration method is presented for large field optical measurement, where the camera is close to the ground and the control points can only be located close to the ground, too. In such conditions, the camera's optical center and the control points are approximately coplanar. Only a single image of these control points captured by the camera in measurement state is used in the method. Neither to distribute the control points in space rationally nor to calibrate the camera's intrinsic parameters in laboratory in advance is needed. By the presented method, the camera's principal point position, focal length, radial and transverse tangency lens distortion coefficients, and the camera's position and attitude parameters can be estimated precisely. Then the calibration results can be used for precise large field optical measurement in the conditions that the camera's longitudinal tangency lens distortion can be neglected or the objects’ movement field is close to the ground, which is usually factual in practical applications. The presented camera calibration method has been successfully used in applications, such as automatic landing of UAV (Unmanned Aerial Vehicle) based on optical measurement guidance, to calibrate the cameras precisely.     

Quadric surface projection model for fish-eye cameras

The curved surface projection model in fisheye image correction algorithm is presented. To analyze the causes of distortion in existing models, we establish an ideal surface projection model and compare its surface with the surfaces of existing models. Subsequently, feature points are obtained on the ideal surface according to the relationship of coordinates of fish-eye image points and their ideal three-dimentional (3D) points. Finally, the least square method is used to obtain a quadric surface and presents a quadric surface projection model. The experiment shows that the corrected image of the new model is more similar to the actual scene than the corrected images of previous models.     

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。     

A calibration method of lens distortion for line scan cameras

We present a practical method to calibrate the lens distortion in line scan cameras. The distortion correction software based on this method has been designed and implemented in the digital protection of cultural relics. In this paper, a lens distortion model which applies to line scan cameras is derived from the widely used array camera distortion model. Then, a new calibration method which utilizes the imaging characteristic of equidistant collinear feature points is proposed to calibrate the model. Experiment results show the proposed calibration method is stable and effective.     

水平场景无畸变折反射全景成像系统透镜畸变的消除

采用短焦距透镜设计水平场景无畸变折反射全景成像系统,会使系统更加小型化,然而短焦距透镜的畸变会对系统成像产生影响。为此建立了具有径向畸变的相机模型;根据这一相机模型,研究了采用短焦距摄像头的水平场景无畸变折反射全景成像系统中,透镜畸变对系统成像的影响,结果表明短焦距透镜的畸变会对系统成像产生严重影响;为了消除透镜畸变的影响,对反射镜的设计进行了改进,在反射镜面形微分方程中包含了透镜畸变消除的参量;按新的方法,设计了一套由短焦距摄像头组成的水平场景无畸变折反射全景成像系统。     

Calibration of a wide angle stereoscopic system

Inaccuracies in the calibration of a stereoscopic system appear with errors in point correspondences between both images and inexact points localization in each image. Errors increase if the stereoscopic system is composed of wide angle lens cameras. We propose a technique where detected points in both images are corrected before estimating the fundamental matrix and the lens distortion models. Since points are corrected first, errors in point correspondences and point localization are avoided. To correct point location in both images, geometrical and epipolar constraints are imposed in a nonlinear minimization problem. Geometrical constraints define the point localization in relation to its neighbors in the same image, and eipolar constraints represent the location of one point referred to its corresponding point in the other image.     

摄像机镜头畸变的一种非量测校正方法

为了减少噪声对摄像机镜头畸变的校正结果带来的影响,提出了一种校正摄像机镜头畸变的非量测方法.先找出由直线畸变而成的曲线,再用直线段连接每条曲线的两个端点形成一些闭合曲线.把它们的面积平方和定义为畸变测度,并用遗传算法搜索畸变测度的最小值.以此得到畸变参量.计算表明,该畸变测度具有较好的抗噪声能力,而遗传算法能避免收敛于局部极小值,减少了矫正图像的均方根误差.实验表明,对多幅图像分别和联合校正,相应矫正图像之间的均方根误差较小,计算和实验郜表明该校正方法具有良好的稳健性.     

Accuracy evaluation of optical distortion calibration by digital image correlation

Due to its convenience of operation, the camera calibration algorithm, which is based on the plane template, is widely used in image measurement, computer vision and other fields. How to select a suitable distortion model is always a problem to be solved. Therefore, there is an urgent need for an experimental evaluation of the accuracy of camera distortion calibrations. This paper presents an experimental method for evaluating camera distortion calibration accuracy, which is easy to implement, has high precision, and is suitable for a variety of commonly used lens. First, we use the digital image correlation method to calculate the in-plane rigid body displacement field of an image displayed on a liquid crystal display before and after translation, as captured with a camera. Next, we use a calibration board to calibrate the camera to obtain calibration parameters which are used to correct calculation points of the image before and after deformation. The displacement field before and after correction is compared to analyze the distortion calibration results. Experiments were carried out to evaluate the performance of two commonly used industrial camera lenses for four commonly used distortion models.     

Using the camera pin-hole model restrictions to calibrate the lens distortion model

Camera calibration required the computation of camera pin-hole and lens distortion models. The lens distortion is estimated alone or together with the pin-hole model, by using some existing lens distortion non-metric or self-calibration methods. If both models are computed together, then the models are adjusted to training data, but not to real camera. This is because both pin-hole and lens distortion models are coupled. If they are computed separately, difficulties arise since calibration of lens distortion alone is an unstable process. To improve existing camera calibration methods, this paper proposes a metric calibration method to compute lens distortion separately from the pin-hole model. This method is solved under stable conditions, independently of the computed lens distortion model, since pin-hole and distortion models are computed separately. Images of a planar template are used. First, using distorted control points extracted from images, a set of undistorted points which fits in the pin-hole model are computed. Second, with distorted and undistorted control points, lens distortion is calibrated by using a metric calibration process.     

基于小波概率估计的图像融合方法研究

在研究了已有的图像融合方法后,提出基于小波变换和最大似然概率估计(MLE)相综合的融合方法,利用概率估计融合模型,首先对不同的传感器图像进行小波分解,然后对相应的子带求解仿射变换参数,根据Bayes规则进行最大后验概率似然估计,得到估计子带系数,最后通过小波反变换得到融合图像.在仿射变换的假设条件下定义融合规则,更适合传感器图像具有局部相反对比度的情况,采用此方法对航空可见光图像和红外图像进行融合实验,其结果与采用其它方法进行了对比,表明该方法的有效性.     

一种光学成像垂轴几何畸变校正方法

光学成像系统非线性几何畸变的校正仍是一个未能很好解决的课题，一些方法还不能很好地实用。本文对成像系统主要因镜头的失常导致的非线性几何畸变，分析了成像过程。提出一种以径向几何畸变为主的非线性几何畸变模型。依据此模型，提出一种通用的校正方法，应用计算机处理，可对实际的非线性几何畸变图像进行校正。文中用所提出的方法对实际成像的畸变进行了校正，给出了校正实验结果，校正效果良好，有一定的实验价值。     

Homography of central points for optical distortion compensation

The paper presents a novel radial lens distortion modelling method for vision systems. It is based on single images of chessboard planar pattern, in which calibration points (corners of chessboard squares) are localised. The points, which are situated near the image centre, where the distortion is negligible, are used to determine undistorted grid of calibration points by the estimation of homographic matrix. The differences in the localisation of undistorted and distorted points are used to find parameters of radial model by the linear least square method. Having the distortion model, the dense compensation is performed with support of bilinear interpolation and a sparse compensation by Newton iterative scheme providing subpixel accuracy.     

基于畸变率的图像几何校正

大视场成像光学系统中的畸变会降低图像质量，必须预以校正。提出一种新的校正方法，即根据畸变率的定义推导出畸变校正公式。根据公式，在镜头畸变率已知的情况下可以很容易地校正畸变。对于畸变率未知的情况，给出了建立畸变模型的方法，通过畸变模型可近似计算畸变率。得出通过控制畸变模型中某一个形状的参数可以控制畸变量大小的结论。提出的方法已经在实际工程中采用。实践证明，这种模型可以满足大多数镜头的畸变校正要求。     

一种基于现场定标的光电图像畸变校正算法

针对CCD摄像机所采集的图像存在畸变问题,提出了一种基于现场定标法的多项式变形技术和三元卷积算法,对其进行校正.灰阶Sobel算子通过引入衰减因子对图像进行边缘检测得到不失真的灰阶边缘图,然后将灰阶边缘图进行三次样条插值处理,使标准定标图案边缘的定位达到亚像素级,提高了图像边缘检测的精度.利用建立的校正畸变的函数关系式,实现空间几何坐标变换,既保证特殊环境下的图像测量具有足够高的精度,又使光电图像几何畸变校正达到很好的效果.     

基于DLT模型的摄像机标定简化方法

在忽略摄像机镜头畸变误差的情况下,通过建立像坐标系与物坐标系,利用DLT模型,结合最优化算法的标定方法和两步法,由于在物坐标系中平面物体的任意一点在Z轴上的分量为0,减少变量数至5个,从而推导出一种简化的摄像机标定方法.借助实例,在文中建立的2个命题的基础上,通过对圆的切线、切线交点及所成像的几何关系确定的的坐标进行参数求解,得到确定模型的二维像和三维像.此外,考虑到更为一般的情况,引入畸变误差(径向误差),对模型先忽略误差项,得到初始参数值,然后利用迭代方法求解.     

A novel planar calibration method using the iterative correction of control points information

In the camera calibration using translational planar object instead of 3D target, the skew affected by the imprecision in installation causes the object to deviate from the designated position, which produces errors to the world coordinates of control points and reduces the calibration accuracy. In this paper, a skew correction model is established to correct this skew. We note and prove that the skew bias of control point which is close to the fix point is tiny. According to the projection regulation, the pixel distance between two adjacent control points which is close to the fix point in skewed situation is a value extremely approximate to that in the ideal situation. Based on this property, we utilize the pixel distance to assign the image coordinates based on the fix point. The assigned values are then employed to estimate the skew factors, by which the initial camera parameters are optimized and lens distortion in the calibration images are corrected. This process is then repeated until convergence. Experiments based on real images prove that this method is more accurate than other methods without correcting skew. The parameters obtained by our method can be applied to the 3D reconstruction directly and effectively.     

一种基于畸变等效曲面的图像畸变校正

介绍了一种图像畸变的等效曲面模型,用于修正由于光学系统或图像传感器产生的畸变。分析了球形畸变模型的原理,推导出基于球形模型的畸变校正公式,并给出了基于球形模型的畸变校正的具体实现方法,通过实验对这种畸变校正的效果进行了验证。这种曲面畸变模型的校正具有实现简单,不需求解方程组等优点,并可以推广到其他曲面,具有比较广泛的实用性。